A yo-yo has a weight of 0.3 lb and a radius of gyration of kO = 0.06 ft. If it is released...

A yo-yo has a weight of 0.3 lb and a radius of gyration of kO = 0.06 ft. If it is released from rest, determine how far it must descend in order to attain an angular velocity ω = 70 rad/s. Neglect the mass of the string and assume that the string is wound around the central peg such that the mean radius at which it unravels is r = 0.02 ft.