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10 May, 16:55

A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. what is its angular velocity (in rev/s) after a 22.0 kg child gets onto it by grabbing its outer edge? the child is initially at rest.

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  1. 10 May, 18:46
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    To answer this problem, we must remember that momentum is conserved. Therefore,

    Initial momentum = Final momentum

    In this case we use angular momentum which it is defined as:

    Momentum = 0.5 m ω^2

    So finding for final angular velocity, ωf:

    mi * ωi^2 = mf * ωf^2

    120 kg * (0.5 rev / s) ^2 = (120 kg + 22 kg) * ωf^2

    ωf^2 = 0.2113

    ω f = 0.46 rev/s
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