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Math Help - Force

  1. #1
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    Force

    The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve and below the line . (Here, distances are measured in meters.) The water level is meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

    (Water has a density of , and the acceleration of gravity is )
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  2. #2
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    Quote Originally Posted by amiv4 View Post
    The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve and below the line . (Here, distances are measured in meters.) The water level is meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

    (Water has a density of , and the acceleration of gravity is )
    y = 0.6x^2
    x^2 = y/0.6
    x = sqrt[y /0.6]

    dA = 2x*dy
    dF = (1000*9.8)dA = 9800[2sqrt(y /0.6)]dy
    dF = (25,303.5)sqrt(y) dy

    F = (25,303.5)INT.(0 to 150)[sqrt(y)]dy
    F = (25,303.5)[(2/3)(y^(3/2)]|(0 to 150)
    F = (25,303.5)(2/3)[(150)^(3/2) -0]
    F = 30,990,331 newtons ------------answer.
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  3. #3
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    I think this is what i got earlier too, but this is for my online homework and it says its not right. does anyone else have any ideas
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