Kinetic energy via angular momentum and angular velocity

Kinetic energy of a body rotating around a fixed or instantaneous axis depends on its angular momentum and angular velocity.

kinetic_energy

kinetic_energy of the rotating body.

Symbol:

K

Latex:

\(K\)

Dimension:

energy

angular_momentum

Pseudovector of the body’s angular_momentum.

Symbol:

L

Latex:

\({\vec L}\)

Dimension:

length**2*mass/time

angular_velocity

Pseudovector of the body’s angular velocity. See angular_speed.

Symbol:

w

Latex:

\({\vec \omega}\)

Dimension:

angle/time

law
Laws:symbols::

Latex:
\[K = \frac{\left( {\vec L}, {\vec \omega} \right)}{2}\]