Coefficient of friction and effects of

[Casio1]

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]

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]

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.