Speed Pertaining to Circular Motion

Hi,

So v=ω*r

Where v = velocity in m/s
ω = angular velocity in rad/s
r = radius in m

But I am confused...the units don't match! What happens to the rad?

m/s = (rad/s)*s

My textbook doesn't explain it, it simply does calculations like (56.5 rad/s)(0.030 m) = 1.7 m/s and the rad disappears. I have a feeling I am missing something obvious o.O. Any help?

Thanks,
Coop