Problem: If a disk has moment of inertia 2 kilogram meter ^ 2 and must be accelerated from 1.14 radians/second to 3.9 radians/second while rotating through 79.2 radians, what torque is required?
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Solution: From the given information we can determine that the angular acceleration must be 2 radians/second ^ 2. The net torque required to accelerate the 2 kg m ^ 2 moment of inertia at this rate is `tau = I `omega = ( 2 kg m ^ 2)( 2 radians/second ^ 2) = 4 meter Newtons.