If a constant torque of 500 Nm turns a wheel of moment of inertia `100 kg-m^2` about an axis through its centre, find the angular velocity and the kinetic energy gained in 2 seconds,

Explanation

To solve the problem step by step, we will follow the physics principles related to torque, angular acceleration, and kinetic energy.

### Step 1: Identify the given values
- Torque (τ) = 500 Nm
- Moment of Inertia (I) = 100 kg·m²
- Time (T) = 2 seconds
- Initial angular velocity (ω₀) = 0 rad/s (the wheel is at rest)

...