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26 April, 18:24

A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 12 ft. (a) Find the force exerted by the milk on one end of the tank when the tank is full. (Round your answer to the nearest integer.) lb

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  1. 26 April, 21:28
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    F = 351*10³lb

    Explanation:

    Given the density

    ρg = 64.6lb/ft³

    Diameter d = 12ft

    The tank is horizontally cylindrical. The vertical distance from the top to the bottom of the tank is h = 12ft

    The pressure in the tank is

    P = ρgh = 64.6 * 12 = 775.2lb/ft²

    The force exerted on one end of the tank is therefore F = PA = 775.2 * πd² = 775.2π*12²

    F = 351*10³lb.
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