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Math Help - Pascals Law

  1. #1
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    Pascals Law

    Hello, I got a test coming up, but I don't think I'm getting this correct

    If Pressure = Force/Area...

    1) Force = 400 lbs Area = 1&1/2 sq in Pressure = ?

    Pressure would equal 26.67 PSI?


    2) Pressure = 800 PSI Area = 1/2 sq in Force = ?

    Force would equal 1600 or 400 lbs?

    3) Force = 800 lbs Pressure = 400 PSI Area = ?

    Area would equal 2 sq in or 320,000 sq in?


    I know this must be very simple but it's the first time I'm doing it.

    Thanks for the help
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  2. #2
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    Quote Originally Posted by AngelzUnit View Post
    Hello, I got a test coming up, but I don't think I'm getting this correct

    If Pressure = Force/Area...

    1) Force = 400 lbs Area = 1&1/2 sq in Pressure = ?

    Pressure would equal 26.67 PSI?


    2) Pressure = 800 PSI Area = 1/2 sq in Force = ?

    Force would equal 1600 or 400 lbs?

    3) Force = 800 lbs Pressure = 400 PSI Area = ?

    Area would equal 2 sq in or 320,000 sq in?


    I know this must be very simple but it's the first time I'm doing it.

    Thanks for the help
    1. We have:

    \text{Force} = 400 \text{ lbs.}

    \text{Area} = 1\frac{1}{2} in^2 = 1.5 in^2

    So, our formula is:

    Pressure = \frac{Force}{Area}

    Plug in what we know:

    Pressure = \frac{400}{1.5}

    Pressure = 266.67 \frac{lbs}{in^2} = 266.67 \text{ PSI}

    2. We have:

    Pressure = 800 \text{ PSI}

    Area = \frac{1}{2} in^2 = 0.5 in^2

    We know that:

    Pressure = \frac{Force}{Area}

    Area*Pressure = Force

    Plug in what we know:

    Force = 800*0.5 = \frac{800}{2} = 400 \text{ lbs.}

    3. We have:

    Force = 800lbs

    Pressure = 400 \text{ PSI}

    We know that:

    Pressure = \frac{Force}{Area}

    \frac{Force}{Pressure} = Area

    Plug in what we know:

    Area = \frac{800}{400}

    Area = 2 in^2

    And there you go.
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