Kinetic energy is the energy associated with motion. Rotational kinetic
energy is associated with rotational motion and is given by: K = ½ Iω^{2}

Notice the similarity with the kinetic energy of linear motion:
K = ½ m v^{2}

The expression K = ½ Iω^{2} 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 v^{2} + ½
Iω^{2}.