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6 November, 19:16

If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 50 N·m, what minimum force must be exerted by the mechanic at the end of a 22 cm-long wrench to loosen the nut? Answer in units of N.

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  1. 6 November, 19:52
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    227.27 N

    Explanation:

    Torque: This can be defined as the force that tend to cause an object to twist or rotate. the torque of a body is also called moment of a body. The S. I unit of torque is N. m.

    Mathematically

    T = F*d ... Equation 1

    Making F the subject of the equation,

    F = T/d ... Equation 2

    T = torque required to loosen the nut, F = force applied, d = distance between the force and the center of the nut.

    Given: T = 50 N. m, d = 22 cm = (22/100) = 0.22 m.

    F = 50/0.22

    F = 227.27 N.

    Thus the minimum force required to loosen the nut = 227.27 N
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