A uniform 4.50 kg square solid wooden gate 2.00 m on all side hangs vertically from a frictionless pivot at the center of its upper edge. A 1.00 kg raven flying horizontally at 4.50 m/s flies into this door at its center and bounces back at 2.00 m/s in the opposite direction. What is the angular speed of the gate now after it is struck by the unfortunate raven?