# 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?

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:31 pm ad1c9bdddfhttps://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.

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