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Angular Motion and Merry-Go-Round

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?

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


The angular velocity relation to the period is:


So in our case:

w = ...

Solution Summary

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