A 30 kg child stands on the edge of a 2.5 m radius, 120 kg merry-go-round. If her speed while she stands on the edge is 1 rev/min, what is the angular momentum of her and the merry-go-round about the center of the merry-go-round? Where must the child stand to make the merry-go-round rotate the fastest? What will be its angular velocity (in rev/min) when she stands there?