A wheel is turned from rest through 500 radians in 20 s by applying a constant torque.
(a) Calculate the angular acceleration of wheel
(b) ind the angular velocity of the wheel after 40s from start if its angular acceleration is same.

Explanation

To solve the problem step by step, we will follow the kinematic equations for rotational motion.

### Step 1: Identify the known values
- Initial angular velocity, \( \omega_0 = 0 \) rad/s (since the wheel starts from rest)
- Angular displacement, \( \theta = 500 \) radians
- Time, \( t = 20 \) seconds

### Step 2: Use the kinematic equation for angular motion
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