A playground merry-go-round has radius 3.00m and moment of inertia 2600kg m^2 about a vertical axle through its center, and it turns with negligible friction
(A) A child applies an 19.5N force tangentially to the edge of the merry-go-round for 22.0s. If the merry-go-round is initially at rest, what is its angular speed after this 22.0s interval?
(B) How much work did the child do on the merry-go-round?
(C) What is the average power supplied by the child?