A child of mass 54.7 kg sits on the edge of a merry-go-round with radius 2 m and moment of inertia 172.852 kg m2. The merry-go-round rotates with an angular velocity of 1.6 rad/s.The child then walks towards the center of the merry-go-round and stops at a distance 0.72 m from the center. Now what is the angular velocity of the merry-go-round? Answer in units of rad/s.