A flywheel having moment of inertia `20kgm^(2)` rotates about its axis with an angular velocity of `100rads^(-1)`. If the moment of inertia of the flywheel is reduced to `10kgm^(2)` without applying external torque, calculate the new angular velocity of the Flywheel.

Explanation

To solve the problem, we will use the principle of conservation of angular momentum. According to this principle, if no external torque acts on a system, the total angular momentum of the system remains constant.

### Step-by-Step Solution:

1. **Identify the initial parameters:**
- Initial moment of inertia, \( I_1 = 20 \, \text{kgm}^2 \)
- Initial angular velocity, \( \omega_1 = 100 \, \text{rad/s} \)

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