Posted by luke on Thursday, February 12, 2009 at 12:49am.
3 full turns is 6 pi radians.
Call the angular speed at the end of 3 turns w(3).
The three turns require time T, where
w(3) = 10.8 + 22.4*T
[w(3)+ 10.8]*T/2 = 6 pi
T = 12 pi/[w(3)+ 10.8]
= [w(3)-10.8]/22.4
w(3)^2 - (10.8)^2 = 22.4*(12 pi)
Solve for w(3)
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