A bullet is shot through two cardboard disks attached a distance D apart to a sh

Question

A bullet is shot through two cardboard disks attached a distance D apart to a shaft turning with a rotational period , T .

Derive a formula for the bullet speed in terms of , , 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, 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.

v= ?

Explanation / Answer

Start with the velocity of the bullet equal to the distance between the disks, D divided by the time it takes the bullet to travel between the disks, t. v=Dt You need to determine an expression for t involving T and ?. T is the period or the amount of time it takes for the disc to make one complete revolution.

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