The fresh water behind a reservoir dam has depth D = 15.0 m . A horizontal pipe
ID: 1376393 • Letter: T
Question
The fresh water behind a reservoir dam has depth D = 15.0 m. A horizontal pipe 4.00 cm in diameter passes through the dam at depth x = 7.0 m below the water surface, as shown in the figure. A plug secures the pipe opening.
Find the magnitude of the frictional force between plug and pipe wall.
The plug is removed. What volume of water exits the pipe in 2.0 h?
Explanation / Answer
Since the plug is in static equilibrium, the frictional force between the plug and pipe wall plus the force on the plug due to the atmosphere must be balanced by the force of the water on the plug: Fwater = Fatmosphere + Ffric Fatmosphere will be equal to Patm multiplied by the cross-sectional area of the plub, while Fwater will be equal to the pressure of the water at that depth multiplied by the cross-sectional area of the plug. Therefore, we must find the pressure at that depth to find the force of the water and therefore the frictional force. For this, use Bernoulli
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