Solve Rolling Friction: Coefficient of Friction

AI Thread Summary
The discussion focuses on calculating the coefficient of rolling friction for two bicycle tires with different air pressures after they roll a measured distance before their speed is halved. The tire at 40 psi travels 17.5 m, while the 105 psi tire covers 92.4 m. Participants confirm the use of kinematic equations to find acceleration and discuss the relationship between rolling resistance and friction. The conversation emphasizes the importance of understanding the forces at play in rolling motion. The thread concludes with participants expressing appreciation for the assistance provided.
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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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