Linear Acceleration of a Bicycle with Changing Wheel Rotation

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Homework Help Overview

The problem involves a bicycle with wheels of a specified diameter that accelerates uniformly, with a focus on the relationship between the angular velocity of the wheels and the linear acceleration of the bicycle.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to convert the wheel rotation from rpm to radians per second and calculate angular acceleration, but expresses uncertainty about the correct method for finding linear acceleration.
  • Some participants question how to relate the distance traveled per revolution to the linear acceleration.
  • Others suggest exploring the direct relationship between angular speed in rpm and linear speed.

Discussion Status

The discussion is ongoing, with participants offering hints and guidance without reaching a consensus. There is an indication of productive exploration of the relationships involved in the problem.

Contextual Notes

The original poster expresses a lack of understanding and seeks direction, indicating potential gaps in knowledge regarding the conversion and relationships between angular and linear motion.

fruitl00p
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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!
 
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Hint: How far does the Bicycle move each revolution?
 
so...I find theta in order to find the linear acceleration?
 
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?
 
oh, I understand now dick! Thank you.
 

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