Question

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+β t 3 , where γ= 0.378 rad/s and β= 1.10×10−2 rad/ s 3 . Part A

Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables β , γ , and t .

Part B

What is the initial value of the angular velocity?

Part C

Calculate the instantaneous value of the angular velocity ω z at t= 5.30 s .

Part D

Calculate the average angular velocity ω av−z for the time interval t=0 to t= 5.30 s .

Answer 1