# Definition:Angular Momentum

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## Definition

The **angular momentum** of a body about a point $P$ is its moment of inertia $I$ about $P$ multiplied by its angular velocity $\omega$ about $P$:

- $L = I \omega$

Angular momentum is a vector quantity.

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### Dimension

The dimension of measurement of **angular momentum** is $\mathsf {M L}^2 \mathsf T^{-1}$.

## Also known as

**Angular momentum** is also (rarely) known as **moment of momentum** or **rotational momentum**.

## Also see

- Results about
**angular momentum**can be found**here**.

## Linguistic Note

The plural of **momentum** is **momenta**.

## Sources

- 1970: George Arfken:
*Mathematical Methods for Physicists*(2nd ed.) ... (previous) ... (next): Chapter $1$ Vector Analysis $1.1$ Definitions, Elementary Approach - 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**moment of momentum** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**angular momentum**