A weather vane initially at rest has a moment of inertia of0.124 kg · m2 about itsaxis of rotation. A 25.0 g piece of clayis thrown at the vane and sticks to it at a point 19.0 cm from the axis. The initial velocity of theclay is 14.5 m/s, directed perpendicularto the vane. Find the angular velocity of the weather vane justafter it is struck.