A disk-shaped merry-go-round of radius 2.03m and mass 185kg rotates freely with an angular speed of 0.671rev/s . A 60.4kg person running tangential to the rim of the merry-go-round at 3.51 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?
omega_f= ____ rad/s