Answer to Question #288554 in Classical Mechanics for joseph

Question

1.The rectangular channel has a width of 4 m and transports water at 1.20(10⁶) liters/min. If the elevation of the bed drops by 0.4 ft, determine the depth y₂ after the depression.

2. A flow of 60 m³/s passes under the sluice gate. If y₁ = 6 in. determine the depth y₂ and the type of flow downstream. Also, what is the maximum volumetric flow that can pass through the gate?

Answer 1

1.

$y_2=y_1+\frac{\dot V l^2}2=6.7~m,$

2.

$y_2=y_1-\frac{\dot V l^2}2=4~m,$

$\dot V_{max}=\dot V\frac{y_1+y_2}{y_1}=100~\frac{m^3}s.$