Linear Acceleration of a Bicycle with Changing Wheel Rotation

[fruitl00p]

Homework Statement

A bicycle has wheels with a diameter of .600 m. It accelerates uniformly and the rate of rotation of its wheels increases from 215rpm to 275rpm in a time of 24.3 seconds. Find the linear acceleration of bicycle.

Homework Equations

w =wi + alpha(time)

The Attempt at a Solution

I obviously don't know what I am doing. First I tried converting the rpms into rads/s. Then I used the new angular velocities to find the angular acceleration. However I then tried to find the linear acceleration by finding the a(tan) and a(rad) and finding the magnitude from these values. But I was wrong!

Unfortunately I do not know what the answer is, but if anyone can steer me in the proper direction, that would be greatly appreciated!

 

[Panda]

Hint: How far does the Bicycle move each revolution?

 

[fruitl00p]

so...I find theta in order to find the linear acceleration?

 

[Dick]

There's a very direct relation between the angular speed in rpms of the wheels and the linear speed of the bicycle. Can you find it?

 

[fruitl00p]

oh, I understand now dick! Thank you.