Can we calculate the rolling resistance coefficient theoretically?

Click For Summary
The discussion centers on the theoretical calculation of the rolling resistance coefficient, which is linked to the deformation of a body as it rolls. The original poster seeks a formula that relates this coefficient to material properties like elasticity, radius, and density, without relying on experimental data. Participants clarify that the term "rolling friction" is often misused and emphasize that rolling resistance is the correct term. There is a consensus that no established formula exists for calculating rolling resistance purely from material properties without experimentation. The conversation highlights the complexity of accurately quantifying rolling resistance in theoretical terms.
Souhardya Nandi
Messages
17
Reaction score
3
I was wondering that if rolling resistance is basically caused by slight deformation of a body, we must have formulas in place to relate it to the physical and material properties of a body. But when I went ravaging for it in library or internet, everything was experimental. I wished to know from all fellow PFians if you have knowledge of any formula which can calculate the rolling resistance coefficient of a body from elasticity,radius,density, etc. without any experimentation whatsoever ?
 
Last edited:
Physics news on Phys.org
What's rolling friction? There is static friction (not slipping), dynamic friction (slipping), and rolling resistance (deformation of the rolling body as it moves)...
 
berkeman said:
What's rolling friction? There is static friction (not slipping), dynamic friction (slipping), and rolling resistance (deformation of the rolling body as it moves)...
You misunderstood my question, sir. I am not asking what rolling friction is. I am asking if there is an existing formula to find the rolling friction coefficient of a body from its material properties without any form of experimentation. Do reply if you can.
 
Souhardya Nandi said:
You misunderstood my question, sir. I am not asking what rolling friction is. I am asking if there is an existing formula to find the rolling friction coefficient of a body from its material properties without any form of experimentation. Do reply if you can.
I understood the question, but your terminology may have a problem. There is no such thing as rolling friction (except for bearing friction maybe). Do you mean that you want to understand if Rolling Resistance can be calculated?

http://www.josephjohansson.com/wp-content/uploads/2016/03/Physical-Causes.png

Physical-Causes.png
 

Attachments

  • Physical-Causes.png
    Physical-Causes.png
    43.4 KB · Views: 1,011

Thread 'How to picture the vector potential?'

Susskind (in The Theoretical Minimum, volume 1, pages 203-205) writes the Lagrangian for the magnetic field as ##L=\frac m 2(\dot x^2+\dot y^2 + \dot z^2)+ \frac e c (\dot x A_x +\dot y A_y +\dot z A_z)## and then calculates ##\dot p_x =ma_x + \frac e c \frac d {dt} A_x=ma_x + \frac e c(\frac {\partial A_x} {\partial x}\dot x + \frac {\partial A_x} {\partial y}\dot y + \frac {\partial A_x} {\partial z}\dot z)##. I have problems with the last step. I might have written ##\frac {dA_x} {dt}...
View full post »
Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...
View full post »

Similar threads

Rolling resistance relation with speed
Replies
8
Views
5K
Rolling Resistance - proportional to speed?
Replies
8
Views
7K
Calculating air resistance for a cart rolling down a ramp
Replies
8
Views
2K
Resistance calculation on right angle current flow
Replies
6
Views
2K
Calculating ballistics coefficient from two velocities
Replies
16
Views
3K
A Hall resistance coefficient vs Seebeck coefficient signs for n-p type
Replies
4
Views
4K
Effect of density on downward rolling spheres
Replies
14
Views
4K
Calculating Roll Bar Resistance
Replies
11
Views
7K
Auto/Motor How can I calculate the resistance force for an electric Go Kart?
Replies
5
Views
3K
I Effective absorption coefficient of gold nanoparticles
Replies
5
Views
385