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?
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:
The angular velocity relation to the period is:
So in our case:
w = ...
The solution shows how all teh angular quantities (speed, acceleration, period, frequency) are connected.