A student, sitting on a stool rotating at a rate of 15 RPM, holds masses in each hand. When his arms are extended, the total rotational inertia of the system is 4.5 kg·m^2. He pulls his arms in close to his body, reducing the total rotational inertia to 1.5 kg·m^2. If there are no external torques, what is the new rotational velocity of the system?

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