The work done by a constant torque is calculated by multiplying the torque by the angular displacement: $W = \tau \Delta \theta$.

The work done by a variable torque is calculated by integrating the torque with respect to the angular displacement: $W=\int_{\theta_{1}}^{\theta_{2}} \tau d \theta$.

The work done is equal to the area under the torque vs. angular position curve.

Identify all the torques acting on the object and their respective angular displacements.

Apply the work-energy theorem or the principle of conservation of energy to relate the work done to the change in rotational kinetic energy.

Linear motion: Work is done by a force over a linear displacement. Rotational motion: Work is done by a torque over an angular displacement. The equations are $W = Fd$ and $W = \tau \Delta \theta$ respectively.

Force: A linear push or pull. Torque: A rotational force that causes an object to rotate. Both can do work.

Angular displacement: The angle through which an object rotates. Linear displacement: The distance an object moves in a straight line.

Mass: Resistance to linear acceleration. Moment of inertia: Resistance to angular acceleration. Moment of inertia depends on the mass distribution relative to the axis of rotation.

Angular velocity: The rate of change of angular displacement. Angular acceleration: The rate of change of angular velocity.

Torque is a rotational force that can transfer energy to or from an object when applied over an angular displacement.

Angular displacement is the angle through which an object rotates.

Work in rotational motion is the energy transferred by a torque acting over an angular displacement.

Moment of inertia is a measure of an object's resistance to changes in its rotational motion.

Rotational kinetic energy is the kinetic energy due to the rotation of an object and is given by $\frac{1}{2}I\omega^2$, where I is the moment of inertia and $\omega$ is the angular velocity.