A Certain Merry-Go-Round Is Accelerated Uniformly from Rest and Attains

Multiple Choice

A certain merry-go-round is accelerated uniformly from rest and attains an angular speed of 1.2 rad/s in the first 18 seconds. If the net applied torque is 1200 N . m, what is the moment of inertia of the merry-go-round?

A) 1400 kg . m²
B) 18 000 kg . m²
C) 9000 kg . m²
D) 500 kg . m²
E) This cannot be determined since the radius is not specified.