Kinetic Energy

 

 

Pure translation

 

The kinetic energy of a rigid body undergoing pure translation is given by the following equation.

 

T = (1/2)mv²

 

Pure rotation

 

The kinetic energy of a rigid body undergoing rotation about fixed-point O is given by the following equation.

 

T = (1/2)I_Oω²

 

General planar motion

 

The kinetic energy of a rigid body that is rotating and translating is given by the following equation.

 

T = (1/2)mv_G² + (1/2)I_Gω²