A merry-go-round starts from rest and accelerates with angular acceleration 0.010 rad/sec^2 for 14 sec. How many revolutions does it make during this time? What is its average angular speed? What is the rotational inertia of the merry-go-round if a constant tangential force of magnitude 200 N, applied 1 m from the axis of rotation, was required to accelerate it? What was the angular speed at the end of the spin-up time?