A child of 36 kg runs having a speed of 2.2 m/s tangential to a disk-shaped merry-go-round of 175 kg of radius 2.4 meters. When the Merry-go-round is spinning at 0.2 revolutions per second prior to the child jumps onto its rim, determine the final angular speed of the merry-go-round and child?
i) 1.2 Hz
ii) 1.4 Hz
iii) 2.1 Hz
iv) 0.8 Hz