Water flows steadily from an open tank as shown in the figure.The elevation of p

Question

Water flows steadily from an open tank as shown in the figure.The elevation of point 1 is 10.0 meters, and the elevation ofpoints 2 and 3 is 2.00 meters. The cross-sectional area at point 2is 0.0480 square meters; at point 3, where the water is discharged,it is 0.0160 square meters. The cross-sectional area of the tank isvery large compared with the cross-sectional area of thepipe.

Assuming that Bernoulli's equation applies,compute the discharge rate dV/dt.
Express your answer in cubic metersper second. Water flows steadily from an open tank as shown in the figure.The elevation of point 1 is 10.0 meters, and the elevation ofpoints 2 and 3 is 2.00 meters. The cross-sectional area at point 2is 0.0480 square meters; at point 3, where the water is discharged,it is 0.0160 square meters. The cross-sectional area of the tank isvery large compared with the cross-sectional area of thepipe.
Assuming that Bernoulli's equation applies,compute the discharge rate dV/dt.
Express your answer in cubic metersper second. Assuming that Bernoulli's equation applies,compute the discharge rate dV/dt. Express your answer in cubic metersper second.

Explanation / Answer

speed of efflux = (2gh) , where h=distance below the surface of the fluid. y1 = 10m, y2 = 2m, A3 = .016m v3A3 =(2g(y1-y3))*A3 = (2*9.8m/s2*8.0m)*(0.016m2) =0.2 m3/s

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