19. (a) At depth y the gauge pressure of the water is p = ρgy ,whe re ρ 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 = Wdy and the force it exerts on the dam is dF = pdA = ρgyW dy . The total force of the water on the dam is F = ZD 0 ρgyW dy = 1 2 ρgWD 2 . (b) Again we consider the strip of water at depth y
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.