Kinetic Energy

Kinetic energy is the energy associated with motion. Rotational kinetic energy is associated with rotational motion and is given by:   K = ½ Iω2

Notice the similarity with the kinetic energy of linear motion:   K = ½ m v2

The expression K = ½ Iω2 for a rotating object follows directly by breaking up the object into infinitesimal subunits and summing the translational kinetic energy of each subunit (see transparency).

The total kinetic energy is:   K = ½ m v2 + ½ Iω2.