The moment of inertia of a body moving with angular velocity `omega` decreases from `I` to `(I)/(3)` without any external torque. Calculate the new angular velocity of the body.

Explanation

To solve the problem, we will use the principle of conservation of angular momentum. Here are the steps:

### Step 1: Understand the Conservation of Angular Momentum
According to the conservation of angular momentum, if no external torque acts on a system, the total angular momentum of the system remains constant.

### Step 2: Set Up the Initial and Final Angular Momentum
Let:
- \( I_1 \) be the initial moment of inertia, which is given as \( I \).
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