A particle describes uniform circular motion. Find the torque on it about the centre of the circle.

Explanation

To find the torque on a particle that describes uniform circular motion about the center of the circle, we can follow these steps:

### Step 1: Understand the Concept of Torque
Torque (\(\tau\)) is defined as the cross product of the position vector (\(\mathbf{r}\)) and the force vector (\(\mathbf{F}\)):
\[ \tau = \mathbf{r} \times \mathbf{F} \]
where \(\mathbf{r}\) is the radius vector from the center of the circle to the particle, and \(\mathbf{F}\) is the force acting on the particle.
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