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Math Help - word problem for hydrostatic force

  1. #1
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    word problem for hydrostatic force

    a large tank designed with ends in the shape of the region between the curves y=(x^2)/3 and y = 14 measured in feet. Tank is filled to a depth of 12 feet with gas. The pressure of gas is 42.0 lb/(ft^3). I'm supposed to find the pressure exerted on one end of the tank with this information. I'm having trouble interpreting this and finding the solution.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by eniuqvw View Post
    The pressure of gas is 42.0 lb/(ft^3).
    That should be the density of the gasoline not pressure.

    Also don't use the term "gas" this is an international forum and a substantial proportion of readers think "gas" refers to a gas.

    (Also ^2 the use of US customary units is deprecated, but you can't do anything about that, its your teacher/educational system that is at fault on that (and NASA apparently)).

    The force on a horizontal area element ds is the weight of the fluid w above it ( w=g\, \rho\, h\, ds where h is the height of fluid above the area element), and as pressure is isotropic this is also the force on a vertical area element ds. So to get the pressure on an end face you integrate this over the face and divide by the area of the face.

    Note: the formula for the weight I gave is for a consistent set of units and g is the acceleration due to gravity, you will need to sort out the units of force/mass for US customary units for yourself. In SI units this weight will be in Newtons

    CB
    Last edited by CaptainBlack; June 24th 2009 at 10:25 AM.
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  3. #3
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    I'm not sure i agree with the dismissive attitude but thanks anyway, i figured it out a while ago.
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  4. #4
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    Quote Originally Posted by eniuqvw View Post
    I'm not sure i agree with the dismissive attitude but thanks anyway, i figured it out a while ago.
    CB was hardly dismissive. But your statement is definitely a self-contradiction.

    Thread closed.
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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by eniuqvw View Post
    I'm not sure i agree with the dismissive attitude but thanks anyway, i figured it out a while ago.
    Condescending with respect to the use of customary units yes, dismissive no, all the information you need to do this problem was provided.

    Its not my problem if you do not know if mass should be in pound or slugs and force (weight) in poundals or pounds force, at this point in time they are a mystery to me and I would have to look them up to know the difference.

    CB
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