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Math Help - Fluid Force

  1. #1
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    Fluid Force

    i am stuck on this problem. can anyone show me how to do it?

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  2. #2
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    By similar triangles, the width of the plate, in feet, at a depth of

    h(x)=(3+x) \;\ ft

    \frac{w(x)}{10}=\frac{x}{4}

    w(x)=\frac{5}{2}x

    F=\int_{a}^{b}{\rho}h(x)w(x)dx=\int_{0}^{4}(30)(3+  x)(\frac{5}{2}x)dx
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  3. #3
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    why is the h(x)=3+x?
    i thought it would be 3-x
    and how did you find w(x)?
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  4. #4
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    actually i think im just looking at it different than you. where did you put the x and y axis on the picture? i see them with the x axis at the water level and the y axis splitting the triangle in half.
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