Solve the given problem:
Problem: A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round with a mass of 220kg is spinning at 24rpm. John runs tangent to the merry-go-round at 6.0m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg.
1- What is the merry-go-round's angular velocity, in rpm, after John jumps on?
Show each step and the equations you used. Thanks!