A disk-shaped merry-go-round of radius 2.13 m and mass 160 kg rotates freely with an angular speed of 0.744 rev/s. A 59.4 kg person running...

A disk-shaped merry-go-round of radius 2.13 m and mass 160 kg rotates freely with an angular speed of 0.744 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 2.90 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?