Answer
3 rotations per second.
Work Step by Step
Her angular momentum is conserved (does not change) because no net external torque acts on her.
Angular momentum is the product of her rotational inertia and rotational velocity, so if her rotational inertia is divided by 3, her rotational velocity (spin rate) triples to keep the product constant.
This is discussed on page 152, and shown in Figure 8.53.
