A merry-go-round having a moment of inertia of 47,500 kgm^2 about its center and a radius of 3.75 m is powered by a pair of electric motors at opposite edges that provide forces of equal magnitude F= 330 N tangential to the edge.
(a) How long does would the motors take to bring the merry-go-round from rest to its maximum speed of 3.50 rpm if they are working against a frictional torque of 1750 Nm?
(b) Through how many revolutions has the merry-go-round turned between its start and when it reaches its maximum speed?
(c) How much power(in Watts) must each motor provide to maintain the steady speed of 3.50 rpm?
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