A box-shaped metal can has dimensions 5 in. by 19 in. by 4 in. high. All of the air inside the can is removed with a vacuum pump. Assuming n

Question

A box-shaped metal can has dimensions 5 in. by 19 in. by 4 in. high. All of the air inside the can is removed with a vacuum pump. Assuming normal atmospheric pressure outside the can, find the total force (in lb) on one of the 5-by-19 in. sides. (Enter the magnitude.)

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Farah 3 years 2021-08-31T02:57:01+00:00 1 Answers 2 views 0

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  1. Acacia
    0
    2021-08-31T02:58:25+00:00
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    Answer:

    The force is  F = 1397 lb

    Explanation:

    From the question we are told that

        The length of the box is  l = 19 \ in

        The width of the box is  w = 5 \ in

         The height is  h = 4\ in

    The pressure experience on one of the sides is mathematically represented as

         p = \frac{F}{A}

    Where A is the area of the box which is mathematically evaluated as

        A = l * w

    substituting values

         A = 5 *19

          A = 95 \ in^2

    This pressure is equivalent to the atmospheric pressure which has a constant value of  p = 14.7 pi

    This implies that

            14.7 = \frac{F}{95}

    =>   F = 14.7 *95

    =>    F = 1397 lb

           

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