The expression for the angular acceleration is:

where

is the variation of the angular velocity, with

being the starting velocity (which in our problem is zero), and

being the time interval. So we can write the angular velocity after an angle

as

We also know the relationship between tangential velocity, v, and the angular velocity v:

with r being the radius of the wheel. Substituting

into the previous equation, we can write an expression for v:
