Are Rolling Resistance Equations for Speed and Acceleration Accurate?

AI Thread Summary
The discussion centers on the accuracy of rolling resistance equations for speed and acceleration, specifically RR = aWS and RR = aWS^2. Participants express confusion over whether rolling resistance is influenced by speed or acceleration, with some asserting it is primarily determined by the formula F_{rr} = μmg. There is acknowledgment of conflicting information regarding the relationship between rolling resistance and speed, prompting suggestions to seek clarification in engineering forums. A request for a clearer explanation of a more complex equation is made, highlighting the need for better understanding amidst the confusion. Overall, the conversation reflects a desire for accurate information on rolling resistance dynamics.
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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 dependant on velocity or acceleration is is simply given by;

F_{rr} = \mu mg

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

~H
 
P \approx \frac{Wa}{r}

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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