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 solve the problem of calculating the magnitude of linear acceleration of a particle moving in a circle, we will follow these steps:

### Step 1: Identify the given values
We are given:
- Radius \( r = 0.5 \, \text{m} \)
- Angular velocity \( \omega = 2.5 \, \text{rad/s} \)
- Angular acceleration \( \alpha = 6 \, \text{rad/s}^2 \)

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