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Math Help - Triangle hydrostatic force!

  1. #1
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    Triangle hydrostatic force!

    A triangular plate with height 4 ft and a base of 5 ft is submerged vertically in water so that the top is 2 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)

    Thanks! I don't know what to do at all, by the way, all I know is that I need the area and pressure. There's a picture of it of a triangle suspended in a square, and the hypotenuse side is facing the lower right.
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  2. #2
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    Is the diagram I have what you mean?.

    If so, we can use similar triangles:

    \frac{w(x)}{5}=\frac{6-x}{4}

    w(x)=\frac{5}{4}(6-x)

    You did not state your weight density of the fluid. You can put that in.

    \int_{2}^{6}x\left(\frac{5}{4}(6-x)\right)dx
    Last edited by galactus; November 24th 2008 at 05:38 AM.
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  3. #3
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    Oh thanks!! They didn't give the density, but I think since we are in feet, I need to use 62.5 as the density, Im not too sure on the units. Also, where should I put that? I can pull it out in the front, right? Thank you!
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  4. #4
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    Yeah, you just multiply by that. It's a constant.
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  5. #5
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    Okay, thanks!!!
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