Friction Calculation: Formula for Determining Wheel-Surface Friction

AI Thread Summary
The discussion centers on calculating the friction between wheels and surfaces, specifically questioning the formula for this calculation. Participants clarify that larger wheels, defined by diameter while maintaining the same width, may exhibit different friction characteristics. The conversation highlights the need to distinguish between friction and rolling resistance, as friction is typically measured in force units. There is confusion regarding the term "friction per revolution," prompting further exploration of its meaning. Overall, the thread emphasizes the complexities in understanding wheel-surface interactions and the factors influencing friction.
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How can we calculate the friction between the wheels and the surface in contact? I know that big wheels will have a greater friction, but what is the formula to calculate it?
 
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What source tells you that big wheels have a greater friction? And what dimension of "big" do you have in mind -- width, diameter, size of contact patch, weight?
 
jbriggs444 said:
What source tells you that big wheels have a greater friction? And what dimension of "big" do you have in mind -- width, diameter, size of contact patch, weight?
The friction I refer to is the friction per revolution of the wheel. The "big" refers to the diameter of the wheels, with the same width.
 
Friction is normally measured in units of force. How does that make sense in describing friction "per revolution"?
 
Do you mean friction or rolling resistance?
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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