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24 September, 04:56

A 227 pound compressor is supported by four legs that contact the floor of a machine shop. At the bottom of each leg there is a circular pad formed from a synthetic material to dampen vibration. The synthetic material will support up to a maximum pressure of 42 psi before deforming. What is the minimum diameter to avoid deforming the material?

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  1. 24 September, 05:16
    0
    1.312 in

    Explanation:

    Data provided in the question:

    Weight of the compressor, W = 227 pound

    Number of legs = 4

    Maximum pressure = 42 psi

    Now,

    Let F be the force taken by the legs

    Therefore,

    W = 4F

    or

    227 pound = 4F

    or

    F = 56.75 pounds

    Also,

    Force = Pressure * Area

    or

    56.75 pounds = 42 psi * πr² [ r is the diameter of one leg]

    or

    r² = 0.4301

    or

    r = 0.656

    therefore,

    diameter = 2r = 2 * 0.656

    = 1.312 in
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