The angular velocity of a particle moving in a circle realative to the center of the circle is equal to `omega`. Find the angular velocity of the particle relative to a point on the circular path.

Explanation

To solve the problem of finding the angular velocity of a particle moving in a circle relative to a point on the circular path, we can follow these steps:

### Step 1: Understand the given information
We know that the angular velocity of the particle relative to the center of the circle is given as \( \omega \). The particle moves in a circular path with radius \( R \).

### Step 2: Define the points
Let:
- \( O \) be the center of the circle.
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