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A weather vane initially at rest has a moment of inertia of 0.104 kg · m2 about its axis of rotation. A 28.5 g piece of clay is thrown at the vane and sticks to it at a point 12.5 cm from the axis. The initial velocity of the clay is 21.0 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck.

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