Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.72 m. The merry-go-round is spinning at 24.2 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 33.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in radians per second? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses.