Question

$\text{If the Froude number of flow in a rectangular channel at a depth of flow of}{y}_{0}is{F}_0$ then what is $y_c/y_0$ equal to?

• A. ${F_0}^{2/3}$
• B. ${F_0}^{3/2}$
• C. ${F_0}^{-1/2}$
• D. ${F_0}^{1/3}$

Answer 1

The correct option is A

${F_0}^{2/3}$

$F_0=\frac{V}{\sqrt{g{y}_0}}=\frac{q}{\sqrt{g{y}_0^3}}and{y}_c^3=\frac{q^2}{g}$

$\therefore \frac{y_c}{y_0}=F_0^{2/3}$