Circular Motion and angular speed

[dcangulo]

It is desired that the outer edge of a grinding wheel 9.0 cm in radius move at a rate of 6.0 m/s. Determine the angular speed of the wheel. What length of thread could be wound on the rim of the wheel in 3.0 sec when it is turning at this rate?

tell me if i started off right becuz i honestly don't have a clue here

first i did
$$\theta$$= s/r
56.52/9.0 = 66.6cm
this got me the arclength
now i was thinking about dividing it by T which should be .0942s

 

[LowlyPion]

Isn't the outside point supposed to be moving at 6 m/s?

How many meters is 3 sec at 6 m/s?

As for ω isn't that just v/r in radians per sec?