Reply to "Rolling Tire Characteristics"

mikesandfordMember

Thanks for this Mark.

Overnight I have almost convinced myself that if one has a tyre made of a thin elastic membrane, which has a high coefficient of friction, and so "sticks" to the place where it first contacts the ground until lifted off, then a wheel cant turn! But on the other hand surely a tyre made of balloon-like material will roll? More thought is required to produce a working model.

I am also rather rusty on trigonometric identities. However, there is a convenient source in Wikipedia, although there are more there than you will ever need!

I have just checked your identity

. It is an approximate identity but sufficiently accurate for our purposes up to my maximum value of alpha = 0.13 radians (7 degrees) where it is in error only in the 6th decimal place! Anyhow, that is obviously how it is derived for motorbikes, but unfortunately it now seems to me that this is not for the condition of high friction, but for riding with zero coefficient of friction, ie riding on ice!

7/9/081:21 AM

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