A bicycle tire rotates at 30 radians/s. If the bicyclist travels at 10 m/s, what is the diameter of the tire?
I found; for angular speed, w=v/r
and for linear speed; v=rw
So if i am thinking correctly, i already know my angular speed of 30 radians/s
and my linear speed is 10m/s
so now i just need to find the radius or diameter of the tire.
If i try solving for r, i get completely different answers.