Three children are riding on the edge of a merry-go-round that is 105 kg, has a 1.70-m radius, and is spinning at 16.0 rpm. the children have masses of 22.0, 28.0, and 33.0 kg. if the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as points.