11.3 Exercise 25

A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is $13.5 \text{kg} \cdot \text{m}^{2}$ and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is $3.4 \text{kg} \cdot \text{m}^{2}$ and she has 2.0 s to do the flips in the air?