Kinetic energy

Kinetic energy is the energy that an object has because of its motion. This energy can be converted into other kinds, such as gravitational or electric potential energy, which is the energy that an object has because of its position in a gravitational or electric field.

Translational kinetic energy

The translational kinetic energy of an object is:

[math]\displaystyle{ E_{translational} = \frac{1}{2} mv^2 }[/math]

where

[math]\displaystyle{ m }[/math] is the mass (resistance to linear acceleration or deceleration);

[math]\displaystyle{ v }[/math] is the linear velocity.

Rotational kinetic energy

The rotational kinetic energy of an object is:

[math]\displaystyle{ E_{rotational} = \frac{1}{2} I \omega^2 }[/math]

where

[math]\displaystyle{ I }[/math] is the moment of inertia (resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its perpendicular distance from the axis of rotation);

[math]\displaystyle{ \omega \ }[/math] is the angular velocity.