# Circular Motion and angular speed

1. Mar 24, 2009

### 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 dont 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
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Mar 24, 2009

### 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?