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Rotational motion- bicycle

  • Thread starter fruitl00p
  • Start date
  • #1
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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!!
 

Answers and Replies

  • #2
194
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Hint: How far does the Bicycle move each revolution?
 
  • #3
94
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so...I find theta in order to find the linear acceleration?
 
  • #4
Dick
Science Advisor
Homework Helper
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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?
 
  • #5
94
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oh, I understand now dick!! Thank you.
 

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