A 25kg child stands on the rim of a 200 kg merry-go-round that has a radius of 3 m. The merry-go-round is rotating freely at an angular velocity of 0.10 revolutions per second. The child then walks toward the center of the merry-go-round and stops 1.0m from center. Assuming conservation of angular momentum, what is the new angular velocity of the merry-go-round?