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Math Help - hydrostatic force

  1. #1
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    hydrostatic force

    Can anyone help me with this word problem ? -__-

    1.
    A dam is inclined at an angle of 30 from the vertical and has the shape of an isoceles trapezoid 100 ft wide at the top and 50 ft wide at the bottom and with a slant height of 70 ft. Find the hydrostatic force on the dam when it is full of water.

    Thanks!
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  2. #2
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    nevermind i got the answer yay!!
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  3. #3
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    Whoa I got this same problem.. How do you do it?
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  4. #4
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    Since it is 30 degrees to the vertical, then we can use sin(60), which I will represent in radians.


    62.4\int_{0}^{70}(xsin(\frac{\pi}{3}))(100)dx
    Attached Thumbnails Attached Thumbnails hydrostatic force-dam.gif  
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  5. #5
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    Thanks for your help!

    I think mostly I'm having trouble drawing the picture, so I can't really get any farther than that. Would you mind redrawing with the given information?

    Thanks!
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  6. #6
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    christinaaa, r u also in pham's class ? lol

    for finding height of dam = sqrt((70)^2 - (25)^2) cos30

    then for width of trapezoid = 100-x/h (100-50)

    then u take the integral of the width which u got from above, from 0 to h
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  7. #7
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    Do you have a picture?

    Isn't the formula for hydrostatic force something like F = the integral of 1000 x 9.8 x area of the dam, from 0 to h?
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