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Circumference of a Circle

At a hydrauli...

Question

At a hydraulic jump, the flow depths are 0.4 m and 5 m at upstream and downstream, respectively. The channel is wide rectangular. The discharge per unit width is nearly

A

7.3 m^{2} / s

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B

8.3 m^{2} / s

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C

5.8 m^{2} / s

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D

6.4 m^{2} / s

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Solution

The correct option is A $7.3 m^{2} / s$
$\begin{matrix} \frac{2 q^{2}}{g} & = y_{1} y_{2} (y_{1} + y_{2}) \frac{2 q^{2}}{9.8} & = 0.4 \times 5 (0.4 + 5) = 2 \times 5.4 = 10.8 q & = \sqrt{\frac{10.8 \times 9.8}{2}} = 7.3 m^{2} / s \end{matrix}$

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