In the figure, the fresh water behind a reservoir dam has depth D = 12.6 m. A ho

Question

In the figure, the fresh water behind a reservoir dam has depth D = 12.6 m. A horizontal pipe 5.47 cm in diameter passes through the dam at depth d = 7.46 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 1.43 h?

In the figure, the fresh water behind a reservoir dam has depth D = 12.6 m. A horizontal pipe 5.47 cm in diameter passes through the dam at depth d = 7.46 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 1.43 h?

Explanation / Answer

a)

F=P2*A

F=rho*g*h2*A

F = 1000*9.8*7.46*3.14*0.02735*0.02735

F = 0.1717153868

b)

R=A*V

R = 3.14*0.02735*0.02735*root(2*9.8*7.46) = 0.028401531

total volume

V=R*t

V=147.2335

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