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Linear and angular velocity.

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October 6th, 2022

(See attached file for full problem description with equations)

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

(see diagram in attachment)

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, 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.
b) Answer: v=?

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