Question

1. Does the moment of inertia depend on the homogeneity (that is uniform distribution of mass)? A motor capable of producing a constant torque of 100 N is connected to a fly wheel with rotational inertia 10 kg m². What angular acceleration will the flywheel experience as the motor is switch on?​

Answer 1

In this case the moment of inertia is given so you don’t need to consider the homogeneity or the symmetry of the flywheel. Angular acceleration can be obtained by torque/moment of inertia so it is equal to 10 rad s^-1. Also torque is in Newton meters!