A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to Ii(t) = Yt + pt, where 'Y = 0.400rad/s and p = 0.0l20rad/s3.
(a) Calculate the angular velocity of the merry-go-round as a function of time.
(b) What is the initial value of the angular velocity?
(c) Calculate the instantaneous value of the angular velocity wz at t = 5.00 s and the average angular velocity w xv-z for the time interval t = 0 to t = 5.00 s. Show that w av-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain why it is not.