Question

Determine the dynamic equation for the rate of change of depth having bed slope S₀ and slope of total energy line Sf.

a.

\(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{QT}{gA^2}}\)

b.

\(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA^2}}\)

c.

\(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA^3}}\)

d.

\(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA}}\)

Answer: (c).\(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA^3}}\)

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Q. Determine the dynamic equation for the rate of change of depth having bed slope S₀ and slope of total energy line Sf.

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