Find the angular momentum of a particle of mass m describing a circle of radius r with angular speed `omega`.

Explanation

To find the angular momentum \( L \) of a particle of mass \( m \) moving in a circle of radius \( r \) with an angular speed \( \omega \), we can follow these steps:

### Step 1: Understand the Definition of Angular Momentum
Angular momentum \( L \) for a particle is defined as the product of the particle's position vector \( \vec{r} \) (from the axis of rotation) and its linear momentum \( \vec{p} \). Mathematically, it can be expressed as:
\[ L = \vec{r} \times \vec{p} \]
where \( \vec{p} = m \vec{v} \) is the linear momentum of the particle.
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