A disk-shaped merry-go-round of radius 3.16 m and mass 147 kg rotates freely with an angular speed of 0.724 rev/s. a 52.3-kg person running tangential to the rim of the merry-go-round at 3.38 m/s jump

A disk-shaped merry-go-round of radius 3.16 m and mass 147 kg rotates freely with an angular speed of 0.724 rev/s. a 52.3-kg person running tangential to the rim of the merry-go-round at 3.38 m/s jumps onto its rim and holds on. before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. what is the final angular speed of the merry-go-round?