The bolts on a car wheel require tightening to a torque of 1 N∙m. If a 4 cm long wrench is used, what is the magnitude of the force required

Question

The bolts on a car wheel require tightening to a torque of 1 N∙m. If a 4 cm long wrench is used, what is the magnitude of the force required when the force is applied at 3° to the wrench? Round your answer to the nearest Newton.

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Tài Đức 2 weeks 2021-08-29T00:34:59+00:00 1 Answers 0 views 0

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    2021-08-29T00:36:39+00:00

    Answer:

    F=477.6831\ N

    Explanation:

    Given:

    • tightening torque required, T=1\ N.m
    • length of the wrench used, l=0.04\ m
    • direction of the force applied to the wrench, \theta=3^{\circ}

    As we know that the force when applied normal to the line of axis joining the hinge and the and point of application of force gives the maximum result.

    So,

    F.l\sin\theta=T

    where:

    F= force

    F\times 0.04\times \sin3^{\circ}=1

    F=477.6831\ N

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