A uniform thin rod of length L=2.5 m and mass 2 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 0.3 kg ball of putty, moving in the horizontal plane of the rod, hits and sticks to one end. As viewed from above, the ball's velocity vector makes an angle of ? =70° with the rod. If the ball's speed just before impact is 100 m/s, what is the angular velocity of the rod immediately after the collision?