A weather vane initially at rest has a moment of inertia of 0.105 kg · m2 about its axis of rotation. A 41.0 g piece of clay is thrown at the vane and sticks to it at a point 13.5 cm from the axis. The initial velocity of the clay is 15.5 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck.