Are Rolling Resistance Equations for Speed and Acceleration Accurate?

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Homework Help Overview

The discussion revolves around the accuracy of equations related to rolling resistance, specifically how it is affected by speed and acceleration. Participants are examining the relationship between rolling resistance force and various factors such as vehicle weight and the coefficient of rolling resistance.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants question the validity of the original poster's equations for rolling resistance, suggesting that rolling resistance may not depend on speed or acceleration as proposed. Others express confusion over conflicting information regarding the relationship between rolling resistance and speed.

Discussion Status

The discussion is active, with participants sharing differing viewpoints on the nature of rolling resistance. Some guidance has been offered regarding the potential inaccuracy of the original equations, and there is an acknowledgment of the need for clarification on the topic.

Contextual Notes

Participants note a lack of consensus on the relationship between rolling resistance and speed, with references to external sources for further information. The original poster expresses confusion due to encountering contradictory information from various sources.

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Are these simple equations correct?


For rolling resistance force at a given speed:


RR = aWS


For rolling resistance force at a given rate of acceleration:


RR = aWS^2



Where:

RR = rolling resistance

a = coefficient of rolling resistance

W = vehicle weight

S = speed
 
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As far as I am aware, rolling resistance is not dependent on velocity or acceleration is is simply given by;

[tex]F_{rr} = \mu mg[/tex]

You may be better posting this in an engineering forum though.

~H
 
[tex]P \approx \frac{Wa}{r}[/tex]

W = weight
a = coefficient of rolling resistance
r = radius of wheel
 
Thank you both for your replies.

I have read that rolling resistance does increase with speed, but I have read a lot of confusing and contradicting information on this issue. That is why I now seek clarification. Engineering forum posting is a good idea.

Cyrus’, I am not entirely sure how to use your equation. I admit that I am at a very basic level and I am (due to reading pages of contradicting information from people with negative teaching ability) in a state of high confusion! Please could you explain it and perhaps state where you learned it?
 

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