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Homework Help: Rotational motion- bicycle

  1. Mar 6, 2007 #1
    1. The problem statement, all variables and given/known data

    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.

    2. Relevant equations
    w =wi + alpha(time)

    3. 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!!
  2. jcsd
  3. Mar 6, 2007 #2
    Hint: How far does the Bicycle move each revolution?
  4. Mar 6, 2007 #3
    so...I find theta in order to find the linear acceleration?
  5. Mar 6, 2007 #4


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    Science Advisor
    Homework Helper

    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?
  6. Mar 6, 2007 #5
    oh, I understand now dick!! Thank you.
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