Solve Rolling Friction: Coefficient of Friction

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SUMMARY

The discussion focuses on calculating the coefficient of rolling friction for two bicycle tires inflated to different pressures. The tire at 40 psi travels 17.5 meters before its speed is halved, while the tire at 105 psi covers 92.4 meters. Using the equation v² = vi² + 2a(x - xi), the acceleration for the low-pressure tire is determined to be -3.3106 m/s². The relationship governing rolling resistance is highlighted as similar to static and kinetic friction, emphasizing the importance of understanding these concepts in physics.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with kinematic equations, specifically v² = vi² + 2a(x - xi)
  • Knowledge of rolling friction and its comparison to static and kinetic friction
  • Basic grasp of free fall acceleration (g = 9.80 m/s²)
NEXT STEPS
  • Research the mathematical models for rolling resistance in tires
  • Learn about the factors affecting the coefficient of rolling friction
  • Explore experimental methods for measuring rolling friction in various materials
  • Investigate the impact of tire pressure on rolling resistance and performance
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of rolling motion and tire performance.

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[SOLVED] Rolling Friction

Homework Statement



Rolling Friction. Two bicycle tires are set rolling with the same initial speed of 3.30 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes 17.5 m; the other is at 105 psi and goes 92.4 m. Assume that the net horizontal force is due to rolling friction only.

What is the coefficient of rolling friction usubr for the tire under low pressure? For the second one?
Take the free fall acceleration to be g = 9.80 m/s^2.

Homework Equations



F=ma
v^2 = vi^2 + 2a (x-xi)
w=ma

The Attempt at a Solution



First, I think we should find acceleration of the tires.

I used the following: v^2 = vi^2 + 2a (x-xi)
1.65^2= 3.30^2 + 2a(17.5-0)
a = -3.3106

where do I go from here, ( that is if everything I did thus far is correct) :S
 
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You method thus far is correct. Do you know the relationship govering rolling resistance (it is very similar to that of static and kinetic friction)?
 
that there is some kinetic friction pushing back...
 
Heat said:
that there is some kinetic friction pushing back...
I meant an equation of some sort...
 
got it.
 
Heat said:
got it.
Superb :smile:
 
Thank you for your help Hootenanny. :)
 
Heat said:
Thank you for your help Hootenanny. :)
A pleasure :biggrin:
 

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