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## Homework Statement

A bicycle tire rotates at 30 radians/s. If the bicyclist travels at 10 m/s, what is the diameter of the tire?

## Homework Equations

I found; for angular speed, w=v/r

and for linear speed; v=rw

where v=m/s

and w=radians/s

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.