A student, sitting on a stool rotating at a rate of 20 RPM, holds masses in each

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A student, sitting on a stool rotating at a rate of 20 RPM, holds masses in each hand. When his arms are extended, the total rotational inertia of the system is 4.5 kg·m2. He pulls his arms in close to his body, reducing the total rotational inertia to 1.5 kg·m2. If there are no external torques, what is the new rotational velocity of the system?

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