A child with mass 42 kg sits on the edge of a merry-go-round at a distance of 3.0m from its axis of rotation. The merry-go-round accelerates from rest up to 0.40rev/s in 10 s.a. What is the angular acceleration of the merry-go-round? Express this inradians/second.b. What is the angular velocity at 5 s?c. Calculate the centripetal acceleration and tangential acceleration at 5 s.d. What is the total acceleration at 5 s?e. If the coefficient of static friction between the child and the surface of themerry-go-round is 0.6, does the child fall off before 5 s? Hint: Todetermine this, calculate the frictional force and force due to theacceleration of the merry-go-round on the child. Compare the two forcesto find which is larger than the other, therefore overcomes the other.

Angular acceleration is the rate of change of angular velocity with time.

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