A child is pushing a merry-go-round. The angle through which the merry-go-round

Question

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to (t)=t+t3, where = 0.400 rad/s and = 1.10×102 rad/s3. Part A Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables , , and t. Part A Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables , , and t. What is the initial value of the angular velocity? Part C Calculate the instantaneous value of the angular velocity z at t= 4.80 s . Part D Calculate the average angular velocity avz for the time interval t=0 to t= 4.80 s .

Explanation / Answer

(t) = 0.400t + 0.0110t³ ••• for t in seconds and in radians.

(t) = '(t) = 0.400 + 0.033t² ••• for t in seconds and in rad/s.

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