Angular Momentum

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Angular momentum of particle of mass m moving with speed v in circle radius r about center is:

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Angular momentum ($\vec{L}$) of a particle about a point is:
$\vec{L} = \vec{r} 	imes \vec{p} = \vec{r} 	imes (m \vec{v})$
For circular motion, the position vector $\vec{r}$ (from the center) is always perpendicular to the velocity vector $\vec{v}$. 
The magnitude is:
$L = r m v \sin 90^\circ = m v r$
In terms of angular velocity: $L = m(r \omega)r = m r^2 \omega = I \omega$.

Angular Momentum

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