Solve Rolling Friction: Coefficient of Friction

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Homework Help Overview

The discussion revolves around a problem involving rolling friction, specifically focusing on two bicycle tires with different inflation pressures and their respective distances traveled before their speeds are halved. The context includes the calculation of the coefficient of rolling friction for each tire, with a given initial speed and acceleration due to gravity.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of acceleration using kinematic equations and question the relationship governing rolling resistance. There is an exploration of the forces acting on the tires, including references to kinetic friction.

Discussion Status

The discussion is ongoing, with some participants affirming the correctness of initial calculations and others providing guidance on relevant relationships in rolling resistance. There appears to be a collaborative atmosphere with expressions of gratitude for assistance.

Contextual Notes

Participants are operating under the constraints of a homework assignment, which may limit the information available or the methods that can be employed. The problem setup assumes that rolling friction is the only horizontal force acting on the tires.

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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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