Calculate the magnitude of linear acceleration of a particle moving in a circle of radius 0.5 m at the instant when its angular velocity is 2.5 rad s–1 and its angular acceleration is `6 rad s^(-2)`.

Explanation

To calculate the magnitude of linear acceleration of a particle moving in a circle, we need to consider both the centripetal acceleration and the tangential acceleration. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify Given Values**:
- Radius (r) = 0.5 m
- Angular velocity (ω) = 2.5 rad/s
- Angular acceleration (α) = 6 rad/s²
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