If you unbend a paper clip made from 1.5 millimeter diameter wire and push one end against the wall, what force must you apply to give a pre

Question

If you unbend a paper clip made from 1.5 millimeter diameter wire and push one end against the wall, what force must you apply to give a pressure of 120 atmospheres

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Thông Đạt 4 years 2021-08-07T02:36:22+00:00 1 Answers 20 views 0

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  1. taiduc
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    2021-08-07T02:37:22+00:00
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    Answer:

    The force is  F = 21.48 \ N

    Explanation:

    From the question we are told that

       The diameter of the wire is  d = 1.5 \ mm = 1.5 *10^{-3} \ m

         The  pressure is  P = 120 \ a.t.m = 120 * 101.3 *10^{3} = 12156000 Pa

    Generally the radius of the of the wire is  

         r = \frac{d}{2}

    =>    r = \frac{ 1.5 *10^{-3}}{2}  

    =>    r = 7.5 *10^{-4} \ m

    The Area is evaluated as

         A = \pi r^2

    =>    A = 3.142 * 7.5 *10^{-4}

    =>    A = 1.7673*10^{-6} \ m^2

    Generally pressure is mathematically represented as

         P = \frac{F}{A }

    =>   F = P* A

    =>    F = 12156000 * 1.767*10^{-6}

    =>    F = 21.48 \ N

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