Answer to Question #288559 in Classical Mechanics for joseph

Question

1.Water flows at 750 m³/s down a rectangular channel made of finished concrete. The channel has a width of 4 m and a downward slope of 0.0002, and the water depth is 1.5 m at the control section A. Determine the distance x from A to where the depth becomes 1.25 m. Use delta y = 0.05 m and plot the surface profile. Take n = 0.012.

2. The rectangular channel is fitted with a 60 degrees or triangular weir plate. If the upstream depth of the water is 2 m. and the bottom of the weir plate is 1.6 m from the bottom of the channel. determine the volumetric flow of water prang over the weir. Take C_d = 0.72. 

Answer 1

1.

$Q=\frac 1n(\frac{l(h-x)}{\Delta y})^{\frac 23}\sqrt I,$

$x=11~m.$

2.

$Q=C\sqrt{hl^2\sin^2\alpha}=150~\frac{m^3}s.$