Chapter 11, Problem 55P

A diver off the high board imparts an initial rotation with his body fully extended before going into a tuck and executing three back somersaults before hitting the water. If his moment of inertia before the tuck is $16.9 \text{kg}\cdot {\text{m}}^{\text{2}}$ and after the tuck during the somersaults is $4.2 \text{kg}\cdot {\text{m}}^{\text{2}}$ , what rotation rate must he impart to his body directly off the board and before the tuck if he takes 1.4 s to execute the somersaults before hitting the water?