A playground merry-go-round (mass M=84.2 kg, R=3.087 m) is initially rotating with an angular speed of ω=0.634 rad/s.To enhance the fun, a small rocket is attached to the edge of the merry-go-round and fired for t=5.30 s, exerting a force of F=129.8 N in the horizontal direction so that the merry-go-round speeds up. Assume the merry-go-round can be modelled as a disk. What is the new angular speed of the merry-go-round? Express your answer in rad/s.