A 3.50-g bullet, traveling at 250 m/s, hits a hinged, light board at right angles, at a distance of 55.0 cm from its hinges, and emerges on the other side of the board with a speed of 150 m/s. The board is initially stationary but is free to rotate about its hinges and has a moment of inertia of 0.275 kgm2. What is the angular speed of the board after the bullet emerges?