The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 radian during the first second. Find the angle rotated during the next second.

Explanation

To solve the problem step by step, we will use the equations of rotational motion. The question states that a wheel accelerates uniformly from rest and rotates through 2.5 radians during the first second. We need to find the angle rotated during the next second.

### Step 1: Understand the given information
- Initial angular velocity (\( \omega_0 \)) = 0 (since it starts from rest)
- Angular displacement during the first second (\( \theta_1 \)) = 2.5 radians
- Time for the first interval (\( t_1 \)) = 1 second

### Step 2: Use the angular displacement formula
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