Arriving at the baggage claim area in a small airport, Alan (mass m) discovers a large turntable (radius R and moment of inertia I) that is spinning out of control. Not wanting to pass up an opportunity for magnificence, Alan leaps onto the edge of the turntable, which continues to spin freely with an angular speed of 7.5 rad/s. He struggles on his hands and knees to the center, and then rises up into a pose that resembles a hood ornament and spins like a figure skater in finale. Security is notified, but passengers applaud. Assume that mR2 = 2.8I, and that Alan has a moment of inertia of I/10 in his final pose. What is his final angular speed if friction is neglected?