Angular momentum

The angular momentum of the figure skater is conserved—as she decreases her radius by retracting her arms and legs, her moment of inertia decreases, but her angular velocity increases to compensate.

The angular momentum or rotational momentum (L) of an object rotating about an axis is the product of its moment of inertia and its angular velocity:

where

is the moment of inertia (resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its radius measured perpendicularly from the axis of rotation);
is the angular velocity.

There are three kinds of angular momentum: the vibrational angular momentum, the spin angular momentum and the orbital angular momentum.


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