Rotational Dynamics

Rotational Kinetic Energy
The rotational kinetic energy is defined as follows:

$$E_r = \frac {1}{2} I {\omega}^2$$

Alternate ways to write this are:

$$E_r = \frac {1}{2} \frac {L^2}{I}$$

$$E_r = \frac {1}{2} L \omega$$

Angular Momentum
The angular momentum of an object is defined as follows:

$$L = I \omega$$