What is the angular acceleration of a particle if the angular velocity of a particle becomes `4` times of its initial angular velocity `1` rad s in `2` seconds

Explanation

To find the angular acceleration of a particle, we can use the formula that relates angular velocity, angular acceleration, and time. Here’s a step-by-step solution:

### Step 1: Identify the given values
- Initial angular velocity (\( \omega_0 \)) = 1 rad/s
- Final angular velocity (\( \omega \)) = 4 times the initial angular velocity = \( 4 \times 1 \) rad/s = 4 rad/s
- Time (\( t \)) = 2 seconds

### Step 2: Write down the formula for angular acceleration
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