ch14-p024 - 24. (a) At depth y the gauge pressure of the...

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24. (a) At depth y the gauge pressure of the water is p = ρ gy , where is the density of the water. We consider a horizontal strip of width W at depth y , with (vertical) thickness dy , across the dam. Its area is dA = W dy and the force it exerts on the dam is dF = p dA = gyW dy . The total force of the water on the dam is () ( ) 2 23 3 2 0 9 11 1.00 10 kg m 9.80m s 314m 35.0m 22 1.88 10 N. D F gyW dy gWD ρρ == = × ³ (b) Again we consider the strip of water at depth y . Its moment arm for the torque it exerts about
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