Why Are Radians Used in Calculating Tangential Speed?

[Lfrizz]

Just calculated the Tangential speed that music is detected from a CD. I found it using Vt=r$$\omega$$ where r was in meters and $$\omega$$ I converted from revolutions per second to radians per second.

What unit of measure is tangential speed in?

Thanks,
Leah

 

[Lfrizz]

I'm guessing it's meters per second, but where do the radians go? And why do we not use meters per radian per second?

Just delving too far into this tonight...