Part A Derive a formula for the bullet speed v in terms of D, T, and a measured angle between the position of the hole in the first disk and that of the hole in the second. If required, use , not its numeric equivalent. Both of the holes lie at the same radial distance from the shaft. measures the angular displacement between the two holes; for instance, 0 = 0 means that the holes are in a line and = π means that when one hole is up, the other is down. Assume that the bullet must travel through the set of disks within a single revolution. View Available Hint(s) Hint 1. Consider hole positions The relative position of the holes can be used to find the bullet's speed. Remember, the shaft will have rotated while the bullet travels between the disks. Hint 2. How long does it take for the disks to rotate by an angle 0? The disks rotate by 2 π in time T. How long will it take them to rotate by 0? Give your answer in terms of T, 0, and constants such as T.

Part A Derive a formula for the bullet speed v in terms of D, T, and a measured angle between the position of the hole in the first disk and that of the hole in the second. If required, use , not its numeric equivalent. Both of the holes lie at the same radial distance from the shaft. measures the angular displacement between the two holes; for instance, 0 = 0 means that the holes are in a line and = π means that when one hole is up, the other is down. Assume that the bullet must travel through the set of disks within a single revolution. View Available Hint(s) Hint 1. Consider hole positions The relative position of the holes can be used to find the bullet's speed. Remember, the shaft will have rotated while the bullet travels between the disks. Hint 2. How long does it take for the disks to rotate by an angle 0? The disks rotate by 2 π in time T. How long will it take them to rotate by 0? Give your answer in terms of T, 0, and constants such as T.