A playground merry-go-round has a radius of 4.60 m and a moment of inertia of 240 kg*m^2 and turns with negligible friction about a vertical axle through its center.
A) A child applies a 20.0 N force tangentially to the edge of the merry-go-round for 18.0 s . If the merry-go-round is initially at rest, what is its angular velocity after this 18.0 s interval?
w = _____ rad/s
B) How much work did the child do on the merry-go-round?
W = _____ J
C) What is the average power supplied by the child?
P = ____ W