Work+Rotational Kinetic Energy

The rotational kinetic energy of an object or rigid system is related to

 rotational inertia and angular velocity of the rigid system

Roational kinetic energy equation

K=1/2w²

The total kinetic energy of a rigid system is the sum

of its rotational kinetic energy + the translational kinetic energy

A torque can transfer energy into or out of an object or rigid system if

 the torque is exerted over an angular displacement.

The amount of work done on a rigid system by a torque is related to

the magnitude of that torque and the angular displacement

Work done on a rigid system by a given torque can be found from the area

of a graph of torque as a function of angular position. 

Work equation

W=τθ