Force on a Surface

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  1. I am Ace's Avatar
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    Force on a Surface
    Ok so the example mentions a pipe strikes a nearby wall without rebounding.
    The cross sectional area of the pipe is 6cm^2 and the water travels at 4 m/s.
    I have to find the force acting on the wall given that the density of the water is 1000kg/m^3

    it says \mathrm{Volume\ Water\ hitting\ wall\ in\ 1\ second} = \frac{6}{100^2} \times 4m^3
    And I just don't get this maths, anyone care to explain?
    Last edited by I am Ace; 29-07-2012 at 14:14.
  2. Joinedup's Avatar
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    Re: Force on a Surface
    Think about the cylinder of water coming out of the pipe in one second. The volume of that cylinder is going to be given by length (4m) multiplied by it's crosssectional area isn't it?
  3. I am Ace's Avatar
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    Re: Force on a Surface
    (Original post by Joinedup)
    Think about the cylinder of water coming out of the pipe in one second. The volume of that cylinder is going to be given by length (4m) multiplied by it's crosssectional area isn't it?
    OK so how would I find the volume when the area = 0.015m^2?
    I tried multiplying the velocity by 0.015^2 which didn't work out
  4. Joinedup's Avatar
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    Re: Force on a Surface
    (Original post by I am Ace)
    OK so how would I find the volume when the area = 0.015m^2?
    I tried multiplying the velocity by 0.015^2 which didn't work out
    if you're given a value for the area you don't square it, it's in area units which are length units squared.
  5. I am Ace's Avatar
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    Re: Force on a Surface
    So how would I do it?
  6. msmith2512's Avatar
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    Re: Force on a Surface
    How far does the water travel in one second?

    You know the cross-sectional area so what is the volume of water in one second?
  7. Joinedup's Avatar
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    Re: Force on a Surface
    (Original post by I am Ace)
    So how would I do it?
    as I understand it you've got a pipe squirting out an endless cylinder of water at a constant velocity.
    The length of the part of that endless water 'cylinder' coming out of the pipe in a fixed amount of time is the velocity (i.e. Distance/time) of water coming out of the pipe multiplied by the time. Do you agree?

    The volume of the water cylinder will be the length multiplied by the area, if they've given you the area in cm^2 you need to convert to the same units as you're using for the length, meters. To convert an area in cm^2 to an area in m^2 you divide by 10000.

    Once you've got your length in m and your area in m^2 you multiply the length by the area to get a volume in m^3. this is the volume that comes out of the pipe in the specified time.
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