What is the Coefficient of Rolling Friction for a Tire Under Low Pressure?

In summary, the problem involves two bicycle tires with the same initial speed of 3.60 m/s, rolling along a straight road. The distance traveled before their speed is reduced by half is measured, with one tire at a pressure of 40 psi going 18.7m and the other at 105 psi going 93.3m. The goal is to find the coefficient of rolling friction for the tire under low pressure. Using the equation Vf^2=Vi^2 +2ax, the expression for tire 1 is recalculated to get the correct answer.
  • #1
tmilla
2
0

Homework Statement



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 psi and goes 18.7m ; the other is at 105 psi and goes 93.3m . Assume that the net horizontal force is due to rolling friction only.

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

Homework Equations



Vf^2=Vi^2 +2ax
Ur=a/g ?? (Ur= coefficient of rolling friction

The Attempt at a Solution



1st Tire:
-(3.60)^2/(2*18.7) = a = -.3465

.3465/9.81=Ur

This is wrong, but I honestly have no idea what to do. Help is GREATLY appreciated! :)
 
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  • #2
Welcome to PF.

I would start off by recalculating your expression for tire 1.

Reread the problem statement. The distance of 18.7 is when |v| = 1/2*|Vo|, not when it goes to 0.
 
  • #3
ahh, missed that little fact. Got the right answer now :)
Thank you!
 

1. What is rolling friction problem?

Rolling friction problem refers to the resistance encountered by a rolling object on a surface, which reduces its speed and distance traveled. It is caused by the deformation of the object and the surface it is rolling on.

2. What factors affect rolling friction?

The factors that affect rolling friction include the weight and shape of the object, the roughness of the surface, and the speed at which the object is rolling. The type of material of both the object and the surface also play a role in determining the rolling friction.

3. How is rolling friction different from sliding friction?

Rolling friction occurs when an object is rolling on a surface, while sliding friction occurs when an object is sliding on a surface. Rolling friction is typically lower than sliding friction, as the object is in contact with the surface for a shorter period of time.

4. How can rolling friction be reduced?

Rolling friction can be reduced by using smoother surfaces, reducing the weight of the object, and using materials with low coefficients of rolling friction. Applying lubricants can also help reduce rolling friction.

5. What are some real-world applications of rolling friction problem?

Rolling friction is an important concept in engineering and design, as it affects the efficiency of many machines and vehicles. It is also a crucial factor in sports, such as in the design of wheels for bicycles and skateboards, and in the performance of tires for cars and other vehicles.

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