Question

A lady is on a lab chair. The chair can freely spin on its axis (no friction). The lady was given an initial spin. While she is spinning freely, she extends her arms out O her moment of inertia increases and her angular speed decreases her moment of inertia increases and her angular speed increases. O her moment of inertia decreases and her angular speed increases O her moment of inertia increases and her angular speed remains the same. O her moment of inertia decreases and her angular speed decreases.

Answer 1

The correct answer is Option 3: her moment of inertia increases and her angular speed increases. When the lady extends her arms out, her moment of inertia increases because she is now further away from the axis of rotation and the mass of her arms is now contributing to her moment of inertia. Since her moment of inertia increases, her angular speed must also increase in order to conserve angular momentum.