A student sits on a swivel seat. Initially the student is at rest, holding a spinning bicycle wheel that has an angular velocity of 13.5 rad/s. The student turns the spinning wheel upside down, reversing the direction of its angular velocity. This causes the student to begin to rotate. Find the student's final angular velocity. The moments of inertia of the wheel and of the student are 0.313 kg · m2 and 2.09 kg · m2 respectively.