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Math Help - work problem

  1. #1
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    work problem

    A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.

    I know this problem could be solved by

    Work = density * weight * distance traveled by the center of the mass.

    I'm having trouble finding the weight. I'm not sure if i should

    int from 0 to 16 x^2 dx

    please help
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by fastcarslaugh View Post
    A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.

    I know this problem could be solved by

    Work = density * weight * distance traveled by the center of the mass.

    I'm having trouble finding the weight. I'm not sure if i should

    int from 0 to 16 x^2 dx

    please help
    This post seems to be missing important information...

    --Chris
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  3. #3
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    no

    it's not missing any information
    it's straight from the book
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  4. #4
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by fastcarslaugh View Post
    A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of _____ from __ to __ . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.

    I know this problem could be solved by

    Work = density * weight * distance traveled by the center of the mass.

    I'm having trouble finding the weight. I'm not sure if i should

    int from 0 to 16 x^2 dx

    please help
    I have inserted blanks where the important information is missing...

    --Chris
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