Rolling Friction and Bicycle Tires, Mastering physics problem.

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SUMMARY

The discussion focuses on the coefficient of rolling friction (μr) for bicycle tires inflated to different pressures. A tire at 40 psi travels 18.1 meters before its speed reduces to half, while a tire at 105 psi travels 93.1 meters. Using the formula for rolling friction and the given distances, the coefficient of rolling friction for the low-pressure tire can be calculated. The analysis assumes that the only horizontal force acting on the tires is due to rolling friction, with gravitational acceleration set at 9.80 m/s2.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and motion.
  • Familiarity with the concept of rolling friction and its impact on motion.
  • Knowledge of tire pressure measurements in psi.
  • Ability to apply equations of motion and friction in practical scenarios.
NEXT STEPS
  • Calculate the coefficient of rolling friction for the 40 psi tire using the formula μr = (distance traveled * g) / (initial speed2).
  • Explore the relationship between tire pressure and rolling resistance in bicycle performance.
  • Research the effects of different tire materials on rolling friction coefficients.
  • Investigate how varying road surfaces influence rolling friction for bicycles.
USEFUL FOR

Cyclists, physics students, and engineers interested in optimizing bicycle performance through tire pressure and rolling friction analysis.

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Information given:

Two bicycle tires are set rolling with the same initial speed of 3.60 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 {\rm psi} and goes a distance of 18.1 m; the other is at 105 {\rm psi} and goes a distance of 93.1 m. Assume that the net horizontal force is due to rolling friction only and take the free-fall acceleration to be g = 9.80 m/s^2.

Question 1:

What is the coefficient of rolling friction mu_r for the tire under low pressure?



i really don't have a clue about this question.
 
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Anyone? please help..
 

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