Help on Uniform Circular Motion Problem Please

[sam.]

Homework Statement

1. Homework Statement

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 \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 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.

A diagram of this can be found here: http://ca.geocities.com/canbball/MRB_rr_8_a.jpg

Homework Equations

Okay so I know that v=D/t
And that v = (2\pir)/T

The Attempt at a Solution

I know that the disks rotate by 2 in time T. What I don't understand is how to express this in terms of \theta.

Any help would be greatly appreciated!

 

[TVP45]

Can you state the angular velocity, omega, in terms of the angle theta?

In step 3, you've dropped a pi.