The correct answer is 0.018rev. I need the work step by step with formulas, and derived formulas, with all unit conversions shown if necessary.

A solid cylinder of mass m = 3 kg and radius r = 12 cm is initially rotating about its central axis with angular frequency (1) = 25 radians/s. How many revolutions does it make after a retarding force of 0.5 N is applied to the outer surface? 0.018 rev 0.ll rcx 0.03 0 rev 0.0090 rev 0.072 rev