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Math Help - 3psi for a circle using the metric system

  1. #1
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    3psi for a circle using the metric system

    Hello,
    Im trying to figure out a metric formula for Pi(r)(3psi) without having to do any conversions. I will be using mm instead of in, and kg instead of lbs. Is this possible?

    Everything I have tried does not equal the same amount as when I do the whole problem in non-metric, then convert the lbs result to kg. I looked at other places online, but that started getting me into kPa which I have no idea about.

    Thanks in advance for you help!
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  2. #2
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    Quote Originally Posted by Robd83 View Post
    Hello,
    Im trying to figure out a metric formula for Pi(r)(3psi) without having to do any conversions. I will be using mm instead of in, and kg instead of lbs. Is this possible?

    Everything I have tried does not equal the same amount as when I do the whole problem in non-metric, then convert the lbs result to kg. I looked at other places online, but that started getting me into kPa which I have no idea about.

    Thanks in advance for you help!
    1. I assume that you want to calculate the value of a force, right?

    2. Forces are measured in N (Newton). kg is the unit for a mass. The weight (force!) of a mass of 1 kg is nearly 9.81 N (on Earth).

    3. A force of 1 lb correspond to a force of 4.448222 N

    4. the area of 1\  square-inch = (25.4\ mm)^2 = 645.16\ mm^2

    5. Your formula becomes:

    \pi \cdot r^2 \cdot 3\ psi = \pi \cdot r^2 \cdot 3 \ lb \cdot \dfrac{4.448222\ \frac N{lb}}{645.16\ mm^2}

    6. Since you measure the radius in mm the resultant dimenson of your formula is N.
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  3. #3
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    got it. Thank you!
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