Part

A

\ A bullet is shot through two cardboard disks attached a distance

D

apart to a shaft turning with a rotational period

T

, as shown\ (Figure 1)\ Derive a formula for the bullet speed

v

in terms of

D,T

, and a measured angle

\\\\theta

between the position of the hole in the first disk and that of the hole in the second. If required, use

\\\\pi

, not its numeric equivalent Both of the holes lie at the same radial distance from the shaft

\\\\theta

measures the angular displacement between the two holes, for instance,

\\\\theta =0

means that the holes are in a line and

\\\\theta =\\\\pi

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)\

v=

A bullet is shot through two cardboard disks attached a distance D apart to a shaft turning with a rotational period T, as shown 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 means that the holes are in a line and = 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