Pre-Cal 40S March 12, 2009
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The document describes how tidal waves affect the depth of water at a sea port over the course of a day. A formula is provided to calculate the depth (h meters) of water at any given time (t hours). The formula includes the period, amplitude, and phase shift to model the tidal pattern. Examples are given to demonstrate how to use the formula to determine the maximum depth, depth at specific times, and times when the depth is a certain value.
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Qustion e xplhine answer he Foll winy tmsqustiens I what has Califo.pdf
Qustion e xplhine /answer he Foll winy tms/qustiens I what has Califotina bone aft oroville Dnm
(2) 1^ plain Ena lish, describe Jfft/en ,ees of (3) h orde to study hyd ranrnph, we have hydro
raph meths Please comeare them Crisis? w, hat hnve }ened ? SCs rai istribution and the tic
Solution
1) Orovally Dam crisis : Dam main and emergency spillway were significantly
damaged.Excavation of featger river basin causes less damage to the area down stream breach.
Due to unrecognized inherent vulnerability of the design and as constructed conditoins and the
chute slab detoration, the spillway chute slab failure, although inevitable, was unexpected.
2)Type I 24-hr Tabular
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Type II 6-hr Tabular
Type II 12-hr Tabular
Type II 24-hr Tabular
Type II 48-hr Tabular
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3)
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A unit hydrograph is a hydrograph for a given basin that is produced by a unit of rainfall (excess)
depth. Since there are several possible durations for that unit of rainfall depth, a given basin can
have several unit hydrographs. A unit hydrograph embodies the diffusion properties of a basin,
that is, the unit hydrograph is the means by which basin diffusion can be calculated. Steeper
basins have less diffusion; milder basins have more diffusion. The main parameter of the unit
hydrograph is the basin lag; the longer the lag, the more the diffusion. The peak flow of the unit
hydrograph is inversely related to the basin lag; the longer the lag, the lesser the peak flow.
Unit hydrographs can be derived from rainfall-runoff data. However, the procedure is time-
consuming and it is limited to gaged basins, which are comparatively small in number.
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A synthetic unit hydrograph retains all the features of the unit hydrograph, but does not require
rainfall-runoff data. The first synthetic unit hydrograph was developed by Snyder in 1938. In
order to provide sufficient flexibility for simulating a wide range of diffusion amounts, Snyder
devised two parameters: (1) a time parameter Ct, and (2) a peak parameter Cp. A larger Ct meant
a greater basin lag and, consequently, greater diffusion. A larger Cp meant a greater peak flow
and, consequently, less diffusion..
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Qustion e xplhine answer he Foll winy tmsqustiens I what has Califo.pdf
Qustion e xplhine /answer he Foll winy tms/qustiens I what has Califotina bone aft oroville Dnm
(2) 1^ plain Ena lish, describe Jfft/en ,ees of (3) h orde to study hyd ranrnph, we have hydro
raph meths Please comeare them Crisis? w, hat hnve }ened ? SCs rai istribution and the tic
Solution
1) Orovally Dam crisis : Dam main and emergency spillway were significantly
damaged.Excavation of featger river basin causes less damage to the area down stream breach.
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chute slab detoration, the spillway chute slab failure, although inevitable, was unexpected.
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Type III 24-hr Tabular
3)
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depth. Since there are several possible durations for that unit of rainfall depth, a given basin can
have several unit hydrographs. A unit hydrograph embodies the diffusion properties of a basin,
that is, the unit hydrograph is the means by which basin diffusion can be calculated. Steeper
basins have less diffusion; milder basins have more diffusion. The main parameter of the unit
hydrograph is the basin lag; the longer the lag, the more the diffusion. The peak flow of the unit
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consuming and it is limited to gaged basins, which are comparatively small in number.
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a greater basin lag and, consequently, greater diffusion. A larger Cp meant a greater peak flow
and, consequently, less diffusion..
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Qustion e xplhine answer he Foll winy tmsqustiens I what has Califo.pdf
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Pre-Cal 40S March 12, 2009
- 1. The Mathematics of Tidal Waves Giant waves on the seafront at Seaham, County Durham by freefotouk
- 2. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (a) State the: (i) period (ii) amplitude (iii) phase shift. (b) What is the maximum depth of the water? When does it occur?
- 3. (b) What is the maximum depth of the water? When does it occur?
- 4. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (a) State the: (i) period (ii) amplitude (iii) phase shift. (b) What is the maximum depth of the water? When does it occur?
- 5. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (c) Determine the depth of the water at 5:00 am and at 12:00 noon. (d) Determine one time when the water is 2.25 meters deep.
- 8. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (d) Determine one time when the water is 2.25 meters deep.