# Work Energy Theorem Application

Does the work energy theorem

Work done by all forces = Change in Kinetic Energy


Include the work done by external torque ? and does $\delta$K include rotational kinetic energy?

Also Should we calculate net force and then calculate work done OR add the work done by each force ?

$$\tau \, \varphi = \Delta K= \frac{1}{2}I\omega_f^2 - \frac{1}{2}I\omega_i^2$$
where $\tau$ is the constant torque, $\varphi$ is the rotation angle, $I$ is Inertia momentum and $\omega_f$ , $\omega_i$ are final and initial angular velocities.