if 130N centripetal force is needed to keep a 0.45kg ball that is attached to a string that is 0.7m long to complete 5 full rotations every

Question

if 130N centripetal force is needed to keep a 0.45kg ball that is attached to a string that is 0.7m long to complete 5 full rotations every 10 seconds. what is the centripetal acceleration and velocity felt by the ball?

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Thái Dương 1 month 2021-08-14T06:24:28+00:00 1 Answers 0 views 0

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    2021-08-14T06:25:49+00:00

    Answer:

    centripetal acceleration of the ball is 6.9 m/s/s

    tangential speed of the ball is 2.2 m/s

    Explanation:

    As we know that ball complete 5 rotations in 10 seconds

    so frequency of rotation of ball is given as

    f = \frac{5}{10} = 0.5 Hz

    now we know that angular frequency is given as

    \omega = 2\pi f

    \omega = 2(\pi)(0.5)

    \omega = \pi rad/s

    Now centripetal acceleration is given as

    a_c = \omega^2 R

    a_c = \pi^2 (0.7)

    a_c = 6.9 m/s^2

    now the velocity of the ball at this angular frequency is given as

    v = R\omega

    v = 0.7 (\pi)

    v = 2.2 m/s

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