An ice skater having moment of inertia `l` rotating with angular speed `omega` suddenly opens her arms, which reduces her angular velocity to `(omega)/(4)`. Calculate the change in moment of inertia of the dancer.

Explanation

To solve the problem, we will use the principle of conservation of angular momentum.

### Step-by-Step Solution:

1. **Understanding the Initial Conditions**:
- The initial moment of inertia of the ice skater is denoted as \( I \).
- The initial angular speed is \( \omega \).

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