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 rads^(-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 tangential acceleration and the centripetal (or radial) acceleration.

### Step 1: Identify the given values
- Radius (r) = 0.5 m
- Angular velocity (ω) = 2/5 rad/s
- Angular acceleration (α) = 6 rad/s²

### Step 2: Calculate the tangential acceleration (at)
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