A weather vane initially at rest has a moment of inertiaof 0.100 kg-m2about its axis of rotation. A 50.0 g pieceof clay is thrown at the vane and sticks to it at a point20.0 cm from the axis. The initial velocity of the clay is 15.0 m/s, directed perpendicular to the vane. Find the

angular velocity of the weather vane just after it is struck.