A merry-go-round of radius 2.00m is rotating about a frictionless pivot. it makes one revolution every 5.00s. the moment of inertia of the merry-go-round (about an axis through its center) is 500kgm2. A child of mass 25.0kg, originally standing at the rim, walks in to the exact center. What is the new angular speed of the merry-go-round?