WATS 1 (1-50) Fluid Mechanics and Thermodynamics
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WATS 1 (1-50) Fluid Mechanics and Thermodynamics

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The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets......

The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets to actively encourage and improve student participation within a first year first ‘fluid mechanics and thermodynamics’ module. Please see the accompanying Mini-Project Report “Improving student success and retention through greater participation and tackling student-unique tutorial sheets” for more information.
The WATS cover core Fluid Mechanics and Thermodynamics topics at first year undergraduate level. 11 tutorial sheets and their worked solutions are provided here for you to utilise in your teaching. The variables within each question can be altered so that each student answers the same question but will need to produce a unique solution.

What follows is a set of STUDENT UNIQUE SHEETS for WATS 1.

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  • 1. Fluid Mechanics and Thermodynamics<br />Weekly Assessed Tutorial Sheets,<br />Student Sheets<br />Student Sheets: WATS 1.<br />The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets to actively encourage and improve student participation within a first year first ‘fluid mechanics and thermodynamics’ module. Please see the accompanying Mini-Project Report “Improving student success and retention through greater participation and tackling student-unique tutorial sheets” for more information.<br />The WATS cover core Fluid Mechanics and Thermodynamics topics at first year undergraduate level. 11 tutorial sheets and their worked solutions are provided here for you to utilise in your teaching. The variables within each question can be altered so that each student answers the same question but will need to produce a unique solution.<br />FURTHER INFORMATION<br />Please see http://tinyurl.com/2wf2lfh to access the WATS Random Factor Generating Wizard. <br />There are also explanatory videos on how to use the Wizard and how to implement WATS available at http://www.youtube.com/user/MBRBLU#p/u/7/0wgC4wy1cV0 and http://www.youtube.com/user/MBRBLU#p/u/6/MGpueiPHpqk.<br />For more information on WATS, its use and impact on students please contact Mark Russell, School of Aerospace, Automotive and Design Engineering at University of Hertfordshire.<br /> <br /> <br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number1Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />880 kg/m3 and the pressure is somehow known to be 471325 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.01 and the height of fluid in the tube is 0.44 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.69 Bar and the height of the fluid in the tube was measured at 428 mm.(1 mark)<br />Q2. 426 litres of red a fluid, relative density = 1.66, and 213 litres of blue fluid of density 2507 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.91 m x 1.76m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 43 % of the depth of the top fluid and the other located at a depth of 46 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number2Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />803 kg/m3 and the pressure is somehow known to be 288664 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.76 and the height of fluid in the tube is 1.19 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.34 Bar and the height of the fluid in the tube was measured at 367 mm.(1 mark)<br />Q2. 192 litres of red a fluid, relative density = 3.61, and 235 litres of blue fluid of density 1894 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.06 m x 1.65m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 20 % of the depth of the top fluid and the other located at a depth of 31 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number3Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1191 kg/m3 and the pressure is somehow known to be 181343 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.77 and the height of fluid in the tube is 1.87 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.87 Bar and the height of the fluid in the tube was measured at 256 mm.(1 mark)<br />Q2. 204 litres of red a fluid, relative density = 2.52, and 255 litres of blue fluid of density 1571 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.72 m x 2.28m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 70 % of the depth of the top fluid and the other located at a depth of 37 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number4Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1417 kg/m3 and the pressure is somehow known to be 168093 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.55 and the height of fluid in the tube is 1.42 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.93 Bar and the height of the fluid in the tube was measured at 238 mm.(1 mark)<br />Q2. 199 litres of red a fluid, relative density = 3.31, and 255 litres of blue fluid of density 2379 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.01 m x 2.05m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 90 % of the depth of the top fluid and the other located at a depth of 20 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number5Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1300 kg/m3 and the pressure is somehow known to be 253194 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.85 and the height of fluid in the tube is 0.37 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.59 Bar and the height of the fluid in the tube was measured at 454 mm.(1 mark)<br />Q2. 295 litres of red a fluid, relative density = 2.92, and 229 litres of blue fluid of density 3315 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.79 m x 2.47m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 69 % of the depth of the top fluid and the other located at a depth of 28 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number6Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1183 kg/m3 and the pressure is somehow known to be 473750 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.99 and the height of fluid in the tube is 0.18 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.62 Bar and the height of the fluid in the tube was measured at 406 mm.(1 mark)<br />Q2. 470 litres of red a fluid, relative density = 2.05, and 283 litres of blue fluid of density 2223 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.40 m x 0.84m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 14 % of the depth of the top fluid and the other located at a depth of 39 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number7Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1072 kg/m3 and the pressure is somehow known to be 199050 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.59 and the height of fluid in the tube is 1.61 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.21 Bar and the height of the fluid in the tube was measured at 160 mm.(1 mark)<br />Q2. 112 litres of red a fluid, relative density = 3.42, and 376 litres of blue fluid of density 744 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.61 m x 2.26m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 39 % of the depth of the top fluid and the other located at a depth of 31 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number8Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />942 kg/m3 and the pressure is somehow known to be 334190 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.61 and the height of fluid in the tube is 1.60 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.29 Bar and the height of the fluid in the tube was measured at 456 mm.(1 mark)<br />Q2. 125 litres of red a fluid, relative density = 3.24, and 441 litres of blue fluid of density 1742 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.50 m x 1.43m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 48 % of the depth of the top fluid and the other located at a depth of 87 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number9Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />896 kg/m3 and the pressure is somehow known to be 379790 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.04 and the height of fluid in the tube is 1.01 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.18 Bar and the height of the fluid in the tube was measured at 426 mm.(1 mark)<br />Q2. 304 litres of red a fluid, relative density = 3.76, and 329 litres of blue fluid of density 1469 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.55 m x 2.16m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 69 % of the depth of the top fluid and the other located at a depth of 30 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number10Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1369 kg/m3 and the pressure is somehow known to be 375820 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.69 and the height of fluid in the tube is 0.48 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.15 Bar and the height of the fluid in the tube was measured at 79 mm.(1 mark)<br />Q2. 286 litres of red a fluid, relative density = 0.85, and 178 litres of blue fluid of density 1886 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.97 m x 0.68m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 25 % of the depth of the top fluid and the other located at a depth of 24 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number11Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1120 kg/m3 and the pressure is somehow known to be 110831 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.59 and the height of fluid in the tube is 1.61 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.16 Bar and the height of the fluid in the tube was measured at 329 mm.(1 mark)<br />Q2. 410 litres of red a fluid, relative density = 3.71, and 320 litres of blue fluid of density 2521 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.95 m x 1.08m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 44 % of the depth of the top fluid and the other located at a depth of 55 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number12Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />950 kg/m3 and the pressure is somehow known to be 387807 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.91 and the height of fluid in the tube is 1.10 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.89 Bar and the height of the fluid in the tube was measured at 454 mm.(1 mark)<br />Q2. 104 litres of red a fluid, relative density = 1.19, and 233 litres of blue fluid of density 2130 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.99 m x 1.91m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 71 % of the depth of the top fluid and the other located at a depth of 11 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number13Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1045 kg/m3 and the pressure is somehow known to be 335627 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.81 and the height of fluid in the tube is 0.73 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.51 Bar and the height of the fluid in the tube was measured at 326 mm.(1 mark)<br />Q2. 163 litres of red a fluid, relative density = 0.66, and 227 litres of blue fluid of density 3023 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.60 m x 1.75m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 79 % of the depth of the top fluid and the other located at a depth of 81 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number14Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1371 kg/m3 and the pressure is somehow known to be 474527 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.05 and the height of fluid in the tube is 1.69 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.09 Bar and the height of the fluid in the tube was measured at 394 mm.(1 mark)<br />Q2. 316 litres of red a fluid, relative density = 2.77, and 210 litres of blue fluid of density 1013 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.64 m x 2.68m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 81 % of the depth of the top fluid and the other located at a depth of 19 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number15Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />959 kg/m3 and the pressure is somehow known to be 184781 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.05 and the height of fluid in the tube is 0.29 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.43 Bar and the height of the fluid in the tube was measured at 266 mm.(1 mark)<br />Q2. 391 litres of red a fluid, relative density = 3.62, and 223 litres of blue fluid of density 3676 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.44 m x 1.47m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 49 % of the depth of the top fluid and the other located at a depth of 57 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number16Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />878 kg/m3 and the pressure is somehow known to be 455599 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.53 and the height of fluid in the tube is 0.51 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.97 Bar and the height of the fluid in the tube was measured at 494 mm.(1 mark)<br />Q2. 281 litres of red a fluid, relative density = 2.18, and 228 litres of blue fluid of density 1821 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.11 m x 1.90m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 45 % of the depth of the top fluid and the other located at a depth of 86 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number17Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />829 kg/m3 and the pressure is somehow known to be 263882 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.14 and the height of fluid in the tube is 1.82 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.64 Bar and the height of the fluid in the tube was measured at 209 mm.(1 mark)<br />Q2. 378 litres of red a fluid, relative density = 1.05, and 349 litres of blue fluid of density 1244 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.88 m x 2.75m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 64 % of the depth of the top fluid and the other located at a depth of 85 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number18Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />977 kg/m3 and the pressure is somehow known to be 164274 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.70 and the height of fluid in the tube is 0.79 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.75 Bar and the height of the fluid in the tube was measured at 71 mm.(1 mark)<br />Q2. 307 litres of red a fluid, relative density = 0.65, and 133 litres of blue fluid of density 1321 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.59 m x 2.95m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 73 % of the depth of the top fluid and the other located at a depth of 24 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number19Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1025 kg/m3 and the pressure is somehow known to be 130294 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.20 and the height of fluid in the tube is 1.93 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.21 Bar and the height of the fluid in the tube was measured at 345 mm.(1 mark)<br />Q2. 368 litres of red a fluid, relative density = 0.46, and 343 litres of blue fluid of density 1683 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.70 m x 1.58m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 81 % of the depth of the top fluid and the other located at a depth of 42 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number20Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1237 kg/m3 and the pressure is somehow known to be 451566 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.52 and the height of fluid in the tube is 1.41 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.10 Bar and the height of the fluid in the tube was measured at 454 mm.(1 mark)<br />Q2. 473 litres of red a fluid, relative density = 0.25, and 319 litres of blue fluid of density 3037 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.83 m x 2.83m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 24 % of the depth of the top fluid and the other located at a depth of 78 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number21Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1021 kg/m3 and the pressure is somehow known to be 234872 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.96 and the height of fluid in the tube is 0.47 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.58 Bar and the height of the fluid in the tube was measured at 390 mm.(1 mark)<br />Q2. 335 litres of red a fluid, relative density = 1.94, and 485 litres of blue fluid of density 3892 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.09 m x 1.77m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 43 % of the depth of the top fluid and the other located at a depth of 26 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number22Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1338 kg/m3 and the pressure is somehow known to be 124112 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.66 and the height of fluid in the tube is 0.77 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.54 Bar and the height of the fluid in the tube was measured at 127 mm.(1 mark)<br />Q2. 332 litres of red a fluid, relative density = 3.18, and 476 litres of blue fluid of density 1540 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.56 m x 0.72m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 69 % of the depth of the top fluid and the other located at a depth of 43 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number23Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1246 kg/m3 and the pressure is somehow known to be 191147 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.57 and the height of fluid in the tube is 1.55 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.47 Bar and the height of the fluid in the tube was measured at 117 mm.(1 mark)<br />Q2. 298 litres of red a fluid, relative density = 2.74, and 361 litres of blue fluid of density 2791 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.76 m x 2.40m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 41 % of the depth of the top fluid and the other located at a depth of 31 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number24Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1204 kg/m3 and the pressure is somehow known to be 312184 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.10 and the height of fluid in the tube is 0.39 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.93 Bar and the height of the fluid in the tube was measured at 412 mm.(1 mark)<br />Q2. 311 litres of red a fluid, relative density = 3.66, and 189 litres of blue fluid of density 3152 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.61 m x 2.44m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 46 % of the depth of the top fluid and the other located at a depth of 12 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number25Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />840 kg/m3 and the pressure is somehow known to be 489670 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.90 and the height of fluid in the tube is 1.64 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.53 Bar and the height of the fluid in the tube was measured at 378 mm.(1 mark)<br />Q2. 201 litres of red a fluid, relative density = 3.28, and 426 litres of blue fluid of density 1057 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.62 m x 1.25m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 68 % of the depth of the top fluid and the other located at a depth of 68 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number26Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1219 kg/m3 and the pressure is somehow known to be 273441 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.94 and the height of fluid in the tube is 0.33 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.46 Bar and the height of the fluid in the tube was measured at 384 mm.(1 mark)<br />Q2. 413 litres of red a fluid, relative density = 0.33, and 417 litres of blue fluid of density 2092 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.96 m x 0.59m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 66 % of the depth of the top fluid and the other located at a depth of 49 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number27Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1302 kg/m3 and the pressure is somehow known to be 388908 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.94 and the height of fluid in the tube is 0.92 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.07 Bar and the height of the fluid in the tube was measured at 230 mm.(1 mark)<br />Q2. 290 litres of red a fluid, relative density = 3.30, and 434 litres of blue fluid of density 3847 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.00 m x 0.57m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 86 % of the depth of the top fluid and the other located at a depth of 46 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number28Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1107 kg/m3 and the pressure is somehow known to be 310416 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.81 and the height of fluid in the tube is 0.72 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.80 Bar and the height of the fluid in the tube was measured at 122 mm.(1 mark)<br />Q2. 320 litres of red a fluid, relative density = 1.32, and 338 litres of blue fluid of density 3387 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.78 m x 2.31m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 12 % of the depth of the top fluid and the other located at a depth of 69 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number29Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1479 kg/m3 and the pressure is somehow known to be 202081 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.88 and the height of fluid in the tube is 1.48 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.63 Bar and the height of the fluid in the tube was measured at 109 mm.(1 mark)<br />Q2. 465 litres of red a fluid, relative density = 3.93, and 448 litres of blue fluid of density 3289 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.42 m x 0.79m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 60 % of the depth of the top fluid and the other located at a depth of 90 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number30Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1358 kg/m3 and the pressure is somehow known to be 103256 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.61 and the height of fluid in the tube is 1.48 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.62 Bar and the height of the fluid in the tube was measured at 350 mm.(1 mark)<br />Q2. 403 litres of red a fluid, relative density = 0.45, and 374 litres of blue fluid of density 737 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.76 m x 1.85m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 71 % of the depth of the top fluid and the other located at a depth of 74 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number31Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1242 kg/m3 and the pressure is somehow known to be 252875 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.97 and the height of fluid in the tube is 1.30 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.05 Bar and the height of the fluid in the tube was measured at 246 mm.(1 mark)<br />Q2. 147 litres of red a fluid, relative density = 0.76, and 471 litres of blue fluid of density 1548 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.20 m x 1.75m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 85 % of the depth of the top fluid and the other located at a depth of 39 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number32Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1239 kg/m3 and the pressure is somehow known to be 369478 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.90 and the height of fluid in the tube is 0.49 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.89 Bar and the height of the fluid in the tube was measured at 82 mm.(1 mark)<br />Q2. 387 litres of red a fluid, relative density = 3.39, and 327 litres of blue fluid of density 892 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.92 m x 1.27m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 31 % of the depth of the top fluid and the other located at a depth of 38 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number33Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />809 kg/m3 and the pressure is somehow known to be 364671 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.88 and the height of fluid in the tube is 1.81 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.25 Bar and the height of the fluid in the tube was measured at 94 mm.(1 mark)<br />Q2. 224 litres of red a fluid, relative density = 3.03, and 354 litres of blue fluid of density 634 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.79 m x 2.91m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 50 % of the depth of the top fluid and the other located at a depth of 21 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number34Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1451 kg/m3 and the pressure is somehow known to be 478772 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.51 and the height of fluid in the tube is 1.62 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.12 Bar and the height of the fluid in the tube was measured at 83 mm.(1 mark)<br />Q2. 199 litres of red a fluid, relative density = 3.83, and 115 litres of blue fluid of density 3081 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.68 m x 2.07m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 43 % of the depth of the top fluid and the other located at a depth of 13 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number35Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />935 kg/m3 and the pressure is somehow known to be 184645 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.81 and the height of fluid in the tube is 1.18 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.68 Bar and the height of the fluid in the tube was measured at 159 mm.(1 mark)<br />Q2. 311 litres of red a fluid, relative density = 2.91, and 131 litres of blue fluid of density 2858 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.02 m x 2.68m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 60 % of the depth of the top fluid and the other located at a depth of 80 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number36Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />878 kg/m3 and the pressure is somehow known to be 187190 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.15 and the height of fluid in the tube is 1.83 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.69 Bar and the height of the fluid in the tube was measured at 417 mm.(1 mark)<br />Q2. 256 litres of red a fluid, relative density = 0.66, and 349 litres of blue fluid of density 1201 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.87 m x 0.90m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 34 % of the depth of the top fluid and the other located at a depth of 64 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number37Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1240 kg/m3 and the pressure is somehow known to be 216698 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.80 and the height of fluid in the tube is 1.69 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.97 Bar and the height of the fluid in the tube was measured at 67 mm.(1 mark)<br />Q2. 222 litres of red a fluid, relative density = 1.25, and 399 litres of blue fluid of density 2090 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.07 m x 1.64m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 76 % of the depth of the top fluid and the other located at a depth of 73 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number38Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1033 kg/m3 and the pressure is somehow known to be 211820 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.97 and the height of fluid in the tube is 1.51 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.30 Bar and the height of the fluid in the tube was measured at 417 mm.(1 mark)<br />Q2. 363 litres of red a fluid, relative density = 0.16, and 356 litres of blue fluid of density 3762 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.60 m x 0.96m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 87 % of the depth of the top fluid and the other located at a depth of 89 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number39Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1485 kg/m3 and the pressure is somehow known to be 128603 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.85 and the height of fluid in the tube is 1.96 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.44 Bar and the height of the fluid in the tube was measured at 390 mm.(1 mark)<br />Q2. 299 litres of red a fluid, relative density = 1.43, and 196 litres of blue fluid of density 2588 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.26 m x 1.71m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 66 % of the depth of the top fluid and the other located at a depth of 24 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number40Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1080 kg/m3 and the pressure is somehow known to be 356023 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.65 and the height of fluid in the tube is 0.24 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.28 Bar and the height of the fluid in the tube was measured at 426 mm.(1 mark)<br />Q2. 312 litres of red a fluid, relative density = 3.71, and 174 litres of blue fluid of density 2034 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.12 m x 0.61m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 51 % of the depth of the top fluid and the other located at a depth of 31 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number41Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1401 kg/m3 and the pressure is somehow known to be 280975 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.92 and the height of fluid in the tube is 0.39 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.17 Bar and the height of the fluid in the tube was measured at 207 mm.(1 mark)<br />Q2. 346 litres of red a fluid, relative density = 1.93, and 356 litres of blue fluid of density 1436 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.89 m x 0.87m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 78 % of the depth of the top fluid and the other located at a depth of 24 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number42Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1480 kg/m3 and the pressure is somehow known to be 486220 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.12 and the height of fluid in the tube is 1.73 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.40 Bar and the height of the fluid in the tube was measured at 306 mm.(1 mark)<br />Q2. 276 litres of red a fluid, relative density = 0.16, and 376 litres of blue fluid of density 1945 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.85 m x 2.63m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 19 % of the depth of the top fluid and the other located at a depth of 61 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number43Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1338 kg/m3 and the pressure is somehow known to be 327554 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.67 and the height of fluid in the tube is 1.44 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.72 Bar and the height of the fluid in the tube was measured at 457 mm.(1 mark)<br />Q2. 136 litres of red a fluid, relative density = 2.13, and 468 litres of blue fluid of density 772 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.40 m x 1.84m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 73 % of the depth of the top fluid and the other located at a depth of 49 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number44Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1443 kg/m3 and the pressure is somehow known to be 345182 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.52 and the height of fluid in the tube is 1.92 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.04 Bar and the height of the fluid in the tube was measured at 446 mm.(1 mark)<br />Q2. 359 litres of red a fluid, relative density = 0.92, and 381 litres of blue fluid of density 1998 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.98 m x 2.56m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 29 % of the depth of the top fluid and the other located at a depth of 51 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number45Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />872 kg/m3 and the pressure is somehow known to be 492252 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.19 and the height of fluid in the tube is 0.85 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.39 Bar and the height of the fluid in the tube was measured at 477 mm.(1 mark)<br />Q2. 208 litres of red a fluid, relative density = 2.74, and 183 litres of blue fluid of density 1146 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.60 m x 2.20m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 34 % of the depth of the top fluid and the other located at a depth of 37 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number46Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1392 kg/m3 and the pressure is somehow known to be 366789 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.88 and the height of fluid in the tube is 0.94 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.46 Bar and the height of the fluid in the tube was measured at 344 mm.(1 mark)<br />Q2. 253 litres of red a fluid, relative density = 3.15, and 243 litres of blue fluid of density 2177 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.87 m x 1.71m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 27 % of the depth of the top fluid and the other located at a depth of 85 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number47Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1312 kg/m3 and the pressure is somehow known to be 188945 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.52 and the height of fluid in the tube is 1.68 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 3.00 Bar and the height of the fluid in the tube was measured at 256 mm.(1 mark)<br />Q2. 301 litres of red a fluid, relative density = 2.15, and 118 litres of blue fluid of density 1614 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.93 m x 2.44m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 25 % of the depth of the top fluid and the other located at a depth of 89 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number48Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1026 kg/m3 and the pressure is somehow known to be 394254 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.11 and the height of fluid in the tube is 0.43 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.56 Bar and the height of the fluid in the tube was measured at 103 mm.(1 mark)<br />Q2. 206 litres of red a fluid, relative density = 3.68, and 289 litres of blue fluid of density 1377 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 0.99 m x 0.83m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 55 % of the depth of the top fluid and the other located at a depth of 89 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number49Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />1253 kg/m3 and the pressure is somehow known to be 233618 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 1.10 and the height of fluid in the tube is 1.98 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 2.67 Bar and the height of the fluid in the tube was measured at 473 mm.(1 mark)<br />Q2. 137 litres of red a fluid, relative density = 2.25, and 486 litres of blue fluid of density 3795 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.91 m x 0.84m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 83 % of the depth of the top fluid and the other located at a depth of 20 % of the bottom fluid. (2 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet (WATS) 1.<br />Student Number50Student NameHand out dateHand in date<br />Q1. A piezometric tube is used to collect data at a particular location in a pipe line. Calculate – <br />i) the height of the fluid, (m), in the piezometric tube if the fluid has a density of<br />930 kg/m3 and the pressure is somehow known to be 281987 Pa. (1 mark)<br />ii)the pressure of the fluid, (Pa), at the location of the piezometric tube, if the fluid has a relative density of 0.81 and the height of fluid in the tube is 0.20 m. <br />(1 mark)<br />iii) the specific gravity of the fluid if the pressure is known to be 1.25 Bar and the height of the fluid in the tube was measured at 277 mm.(1 mark)<br />Q2. 397 litres of red a fluid, relative density = 3.37, and 238 litres of blue fluid of density 2043 kg/m3, are simultaneously tipped into a rectangular based tank. Assuming that the properties of the fluids are such that they are immiscible (i.e. they don’t mix), and that the tank’s base dimensions are 1.02 m x 1.15m calculate <br />i)the mass of the red fluid (kg)(1 mark)<br />ii)the mass of the blue fluid (kg)(1 mark)<br />iii)the pressure gradient in the red fluid (Pa/m)(1 mark)<br />iv)the pressure gradient in the blue fluid. (Pa/m)(1 mark)<br />v)the difference in pressure, (Pa), between two points, one located at 47 % of the depth of the top fluid and the other located at a depth of 51 % of the bottom fluid. (2 marks)<br />Credits<br />This resource was created by the University of Hertfordshire and released as an open educational resource through the Open Engineering Resources project of the HE Academy Engineering Subject Centre. The Open Engineering Resources project was funded by HEFCE and part of the JISC/HE Academy UKOER programme.<br />© University of Hertfordshire 2009<br />This work is licensed under a Creative Commons Attribution 2.0 License. <br />The name of the University of Hertfordshire, UH and the UH logo are the name and registered marks of the University of Hertfordshire. To the fullest extent permitted by law the University of Hertfordshire reserves all its rights in its name and marks which may not be used except with its written permission.<br />The JISC logo is licensed under the terms of the Creative Commons Attribution-Non-Commercial-No Derivative Works 2.0 UK: England & Wales Licence.  All reproductions must comply with the terms of that licence.<br />The HEA logo is owned by the Higher Education Academy Limited may be freely distributed and copied for educational purposes only, provided that appropriate acknowledgement is given to the Higher Education Academy as the copyright holder and original publisher.<br />