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Unformatted text preview: 1 Problem. Lake A round lake of diameter d is fed by a river and drained by seepage. The normal flow rate of the river is Q in = 40 m 3 / min and is equal to the rate of seepage. Thus, the water level in the lake is constant. Should the lake level rise, the water from the lake flows through a triangular notch in a retaining wall and into a flood plain. Normally the water level matches the bottom of the triangular notch. Water level in lake is normally at the bottom of the triangular notch in the dam. View of dam from flood plain Suddenly the flow rate of the river increases to 1.5 times the normal rate. The extra water flows out through the triangular notch at a rate determined by the height of the lake above the bottom of the notch. The rate of flow through the notch is given by the following equation: Q notch = h 5 / 2 m 3 / min , where h is the height of the lake surface above the bottom of the notch , and is a constant....
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 Fall '07
 BERMAN
 Calculus

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