Water flows steadily from an open tank as shown in the figure. (Figure 1) The el

Question

Water flows steadily from an open tank as shown in the figure. (Figure 1) The elevation of point 1 is 10.0 meters, and the elevation of points 2 and 3 is 2.00 meters. The cross-sectional area at point 2 is 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 is very large compared with the cross-sectional area of the pipe. A)Assuming that Bernoulli's equation applies, compute the discharge rate . Express your answer in cubic meters per second.

Explanation / Answer

use bernoulli's equation for 1 to 3, take v1 to equal zero and P3 = P1 P1/pg + z1 = P3/pg + v3^2/2g + z3 v3 = sqrt(2g(z1 - z3)) = sqrt(2*9.81(10 - 2)) = 12.53 m/s Q = A3*v3 = .2005 m^3/s

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