fluid pressure physics

1. FLUID PRESSURE
Pressure
The pressure at a depth in a
fluid of constant density is
equal to the pressure of the
atmosphere plus the pressure
due to the weight of the fluid,
or
Pfluid = P + ρgh
o

2. FLUID PRESSURE
Q1-Calculate the pressure on a circular area
of 100 cm² in a water of 100m deep.(
Density of water =10³kg/m³ and g= 10 m/s²)

3. FLUID PRESSURE
- The area of base of a cyclinder vessel is 0.03 m².Water density
10³kg/ m ³ is poured into it upto a depth of 6cm . Calculate ( i )
pressure . ( ii ) thrust of water on the base ( g = 10 m/s²)

4. FLUID PRESSURE
-Calculate the height of of water column which will
exerts on its base the same pressure as the 0.70m of
mercury column.Density of Hg is 13.6×10³kg/m³

5. FLUID PRESSURE
The. Pressure difference between two floors of a
building is 30000pascal.Find the vertical distance
between the floors (density= 10³kg/m³, g= 10m/s²)

6. FLUID PRESSURE
- In a hydraulic machine a force of 20 N is
applied on the piston of area 10cm².What
force is obtained on its piston of area 100cm².

7. FLUID PRESSURE
- Calculate the ratio of area cross section of master
cyclinder and wheel cylinder of hydraulic brake so that
a force of 10N can be obtained at each of its brake
shoe by exerting a force of 0.2N on the pedal.

8. FLUID PRESSURE
- The area of pistons in a hydraulic machine are
5cm² and 125cm².What force on smaller piston
will support a load of 1000N on the large piston.

9. FLUID PRESSURE
A force of 500N is applied to the smaller piston of a
hydraulic machine.Find the force exerted on the large
piston if the diameter of the piston are 5 cm and 25cm.

10. FLUID PRESSURE
Archimedes Principle
Apparent weight= Weight of object (in the air) – Thrust force (buoyancy)
the Archimedes law states that the buoyant
force on an object is equal to the weight of
the fluid displaced by the object.
Fb = ρ x g x V

11. FLUID PRESSURE
A ball of mass 2 kg having diameter of 50 cm falls in the swimming
pool. Calculate its buoyant force and volume of water displaced.

12. FLUID PRESSURE
If a stone of mass 250 g is thrown in water. Calculate the buoyant force acting on it?

13. FLUID PRESSURE
When a 2.5 kg crown is immersed in water, it has an apparent
weight of 22 N. What is the density of the crown?

14. FLUID PRESSURE
Calculate the buoyant force, if a floating body is 95%
submerged in water. The density of water is 1000 kg.m-3.

15. FLUID PRESSURE
A1 v1 = A2 v2

16. FLUID PRESSURE
Water flows through a pipe of internal diameter 20cm at
the speed of 1m/s. What should the diameter of the
nozzle be if the water is to emerge at the speed of 4m/s ?

17. FLUID PRESSURE
A room has a volume of 120m3. An air conditioning
system is to replace the air in this room every twenty
minutes, using ducts that have a square cross
section. Assuming that air can be treated as an
incompressible fluid, find the length of a side of the
square if the air speed within the duct is
(i) 3m/s
(ii) 5m/s

18. FLUID PRESSURE
A patient who is recovering from surgery is being given fluid intravenously.
The fluid has a density of 1030 kg/m3 and 9.5 × 10 -4m3 of it flows into the
patient every six hours. Find the mass flow rate in kg/s ?
Sol:

19. FLUID PRESSURE
Bernoullis Equation
h1
h2

20. FLUID PRESSURE
Water enters a horizontal pipe of non-uniform cross-section with a
velocity of 0.6m/s and leaves the other end with a velocity of 0.4m/s.
At the first end, pressure of water is 1600N/m2. Calculate the
pressure of water at the other end. Density of water = 1000 kg/m3?

21. FLUID PRESSURE
Calculate the minimum pressure required to force the
blood from the heart to the top of the head (vertical
distance 0.5m). Assume the density of blood to be
1040kg/m3. Friction is to be neglected ?

22. FLUID PRESSURE
An airplane wing is designed so that the speed of the air
across the top of the wing is 251m/s when the speed of the
air below the wing is 225m/s. The density of air is 1.29kg/m3.
What is the lifting force on a wing of area 24m 2?

23. FLUID PRESSURE
Water is circulating through a closed system of pipes in a two floor
apartment. On the first floor, the water has a gauge pressure of 3.4 ×
10 5 pa and a speed of 2.1m/s. However, on the second floor, which is 4m
higher, the speed of the water is 3.7m/s. The speeds are different because
the pipe diameters are different. What is the gauge pressure of the water
on the second floor?

24. FLUID PRESSURE

25. FLUID PRESSURE
Terminal velocity
Stokes Theorem

26. FLUID PRESSURE
Viscosity

27. FLUID PRESSURE
Poiseuiles Equation

28. FLUID PRESSURE