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Problem 10.30 A uniform 2 kg solid disk of radius R = 0.4 m is free to rotate on a frictionless horizontal axle through...

Problem 10.30 A uniform 2 kg solid disk of radius R = 0.4 m is free to rotate on a frictionless horizontal axle through its center. The disk is initially at rest, and then a 10 g bullet traveling at 500 m/s is fired into it as shown in the figure below.

If the bullet embeds itself in the disk at a vertical distance of 0.2 m above the axle, what will be the angular velocity of the disk?

Express your answer in radians per second to two significant figures.

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