Aplayground merry-go-round has a radius of r and a moment of inertia of i about a vertical axis through its center. the merry-go-round is initially at rest. a child pushes the edge of the merry-go-round with force of ftan tangential to the edge for a time t seconds. for the following questions, express all solutions using the given variables. a) what is the angular speed of the merry-go-round after the child’s push?