A merry-go-round accelerates from rest to 0.75 rad/s in 33 s.

Assuming the merry-go-round is a uniform disk of radius 6.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it.

1309.1 Nm

Explanation:

Torque is given as a product of Moment of innertia and acceleration hence

T=Ia where T is torque and a is acceleration

To get acceleration, it is rate of change of speed per unit time hence where v and t represent velocity and time respectively while subscripts f and i represent final and initial respectively. Also, I is given by where m js mass and r is radius hence the net torque can now be written as

By substituting the given figures then

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