Rigid body rotation. Need explanation

[am_knightmare]

Homework Statement

https://dl.dropbox.com/u/66988308/Capture.JPG

Homework Equations

V=rW

The Attempt at a Solution

I tried to plug in the formula , and algebras but I keep getting rc/rf as answer instead of rf/rc as the book says.
Work:
Vf=(rf)W
W=Vf/rf
W=Vc/rc

Vc/rc = Vf/rf
(Vc)(rf) = (Vf) (rc)
(Vc)(rf) / (Vf) (rc)= 1
Im not sure if this is the right track.
Thanks for any advice.

 

[voko]

Please show your working.

 

[lewando]

The book is correct.

 

[am_knightmare]

My work is shown in first post now.

 

[lewando]

"W" (ω), angular velocity, is not the same in each case.

 

[voko]

Do you know what angular momentum is?