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    Angular Motion and Merry-Go-Round

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    A 5.0-m-diameter merry-go-round is initially turning with a 4.0 s period. It slows down and stops in 20 s.

    a) Before slowing, what is the speed of a child on the rim? (in m/s)

    b) How many revolutions does the merry-go-round make as it stops?

    © BrainMass Inc. brainmass.com February 24, 2021, 2:31 pm ad1c9bdddf
    https://brainmass.com/physics/circular-motion/angular-motion-merry-go-round-26275

    Solution Preview

    Hello and thank you for posting your question to Brainmass.

    The tangential speed of an object rotatitin a distance R from an axis with angular velocity w is given by:

    V=wR

    The angular velocity relation to the period is:

    w=(2*Pi)/T

    So in our case:

    w = ...

    Solution Summary

    The solution shows how all teh angular quantities (speed, acceleration, period, frequency) are connected.

    $2.19

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