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Two uniform, solid disks are rotating freely about the same axis. Then they are linked together without the aid of any external influences. Before being connected, disk 1 had an angular velocity of 4.60 rad/s; disk 2 had an angular velocity of -8.50 rad/s. Both disks have the same mass (2.00 kg), but disk 1 has a radius of 12.0 cm, and disk 2 has a radius of 8.00 cm. At what angular velocity does the set of disks rotate after being connected?

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