Fictitious forces in rotating frames of reference

[bigerst]

I got stuck going over the derivation of fictitious forces in rotating frames.
see specifically
http://en.wikipedia.org/wiki/Rotating_reference_frame#Time_derivatives_in_the_two_frames
this page to see the proof I'm talking about
(sorry i'd love to be able to explain it by myself but wikipedia page is so much clearer)
the part I'm stuck on is the use of the transport theorem, it's supposed to work on any vectors right?
so let Q be any vector
then
dQ/dt = dQ'/dt + w×Q
so what if i let Q = v, the velocity of the particle, doesn't this directly giv
F =F' + w×v

PLEASE SOMEONE TELL ME WHAT I DID WRONG!

 

[BruceW]

you forgot about the mass of the particle. dv/dt is the acceleration, not the force