Calculate the centripetal force on the end of a 100 m (radius) massless cable that is rotating at 0.5 rev/s. Assume the mass on the end of t

Question

Calculate the centripetal force on the end of a 100 m (radius) massless cable that is rotating at 0.5 rev/s. Assume the mass on the end of the cable is 4 kg.

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Farah 3 years 2021-09-02T07:32:14+00:00 1 Answers 0 views 0

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  1. thanhcong
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    2021-09-02T07:33:51+00:00
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    Answer:

    F_{cp}=3947.84N

    Explanation:

    From the formula for centripetal force and acceleration we can deduce that:

    F_{cp}=ma_{cp}=m\frac{v^2}{r}=m\frac{(r\omega)^2}{r}=mr\omega^2=mr\omega^2

    Since one revolution is 2\pi\ rad, 0.5 revolutions are \pi\ rad, so we have:

    F_{cp}=(4kg)(100m)(\pi\ rad/s)^2=3947.84N

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