# Rolling Friction

1. Oct 8, 2007

### Heat

[SOLVED] Rolling Friction

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

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

3. 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

2. Oct 8, 2007

### Hootenanny

Staff Emeritus
You method thus far is correct. Do you know the relationship govering rolling resistance (it is very similiar to that of static and kinetic friction)?

3. Oct 8, 2007

### Heat

that there is some kinetic friction pushing back...

4. Oct 8, 2007

### Hootenanny

Staff Emeritus
I meant an equation of some sort...

5. Oct 8, 2007

got it.

6. Oct 8, 2007

### Hootenanny

Staff Emeritus
Superb

7. Oct 8, 2007

### Heat

Thank you for your help Hootenanny. :)

8. Oct 8, 2007

### Hootenanny

Staff Emeritus
A pleasure