Rate of flow through a damn gate

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Homework Statement


A tainter gate for a lake is 21' tall and 14' wide and the water level is 17 feet from the surface to spillway. When the work is done how much water will flow through the gate if the gate is raised 2 ft, 7ft, and 10ft and how high does the gate have to be raised to maintain a flow rate of 2500cfs. the estimated impoundment of water for the lake is 3 billion gallons.



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Can anyone help me figure out this problem, due tomorrow and i really could use some help


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