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A student sitting on a stool that is free to rotate (frictionless), but is initially at...

A student sitting on a stool that is free to rotate (frictionless), but is initially at rest, holds a bicycle wheel.  The wheel has a rotational velocity of 10 rev/s about a vertical axis counter clockwise (vector of angular momentum points up).  The rotational inertia of the wheel is 4 kg*m2 about its center and the rotational inertia of the student and wheel and platform about the rotational axis of the platform is 12 kg*m2.

If the student flips the axis of the wheel, reversing the direction of its angular momentum vector, (neglecting friction losses) what is the rotational velocity [rev/s] of the student and the stool about their axis after the wheel is flipped?


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