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A person, sitting on a stool rotating at a rate of 21 rpm, holds masses in each hand. When their arms are outstretched , the total rotational inertia of the system is 3.7 kg·m2. The person pulls their arms close to their body, reducing the total rotational inertia to 1.7 kg·m2. If there are no external torques, what is the new angular velocity of the system in rad/s?

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