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Coefficient of friction and effects of

Casio

Member
Feb 11, 2012
86
Not a question from a college course or anything like that, but one of interest to me:)

You take a car tyre made of polyester and rubber, the treads are cut to about 7mm deep, the roads coefficient of friction are normally about 0.7 in conjunction with contact of the tyre, if the weight is independant of the static friction between the tyre and road surface, how could a calculation be performed to work out how much wear takes place when a tyre rolls along the road surface?
 

HallsofIvy

Well-known member
MHB Math Helper
Jan 29, 2012
1,151
If the tyre were really "rolling", there would be NO friction and so no wear. In order that there be friction, there would have to be some slippage and the friction and wear would depend on the amount of slippage which is not given here.
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,183
I think it would also depend on the material of the tire itself - its "cohesiveness". I think the formula would be immensely complicated. That is, I think a theoretical analysis would be quite complicated. An a posteriori experimental result would naturally be much easier.