saran wrap

If I have a roll of saran wrap that has a material thickness of .0005" thick, and the roll is a 2000' long sheet, how many full revolutions of the center tube will it take to unravel the entire roll if it has a 6" overall diameter prior to unrolling? True gangsters will provide the diameter of the inner tube after unrolling.

First to answer this correctly gets $1 on paypal. Try to use calculus. Provide method or the answer does not count.

Yes I actually know the answer.

The answer is 3318.056 revolutions and final diameter of .682", so now someone just needs to prove they worked it out to get the same.

Pardon my error:

3148.045 revolutions, ending diameter .852"

Op is a luser

And oftentimes excusing of a fault doth make the fault the worse by the excuse.