I will have you know I am wearing my fat pants from the warehouse. And they are exceedingly comfortable.
The 'infinite power and and braking' part was just to clarify exactly what I meant. I implied that it was not taking into account these two factors but maybe that was a bit subtle. Saying that they are infinite just makes it abundantly clear what I mean.
The term you re looking for is not 'work' it is 'power'. Work refers to energy not power. The equation is right however, and your following statement is true. But that was not the point of my post. The post was simply talking about grip. Just grip. Only grip. Nothing but grip. Something other than grip? No nothing else.
Understood?
So I've skim read over this thread, I'm pretty sure I get what everyone is saying (or trying to say)
here's how I see it.
the taller, lighter rider has the cornering advantage, by modeling a motorcyclist as a mass rotating around a parallel axis (using parallel axis theorm) the rider who's mass is closest to the axis with the lowest weight will have the lower tangential force which means the corner can be completed at a greater angular velocity.
in a straight line here's how I see it.
we know there is a static force of friction, that is the absolute force that the tyre will not slip at, any more and it begins slipping and becomes the kinetic force of friction, the equation is F.s = u * N (where I'm missing a load of sub script and a greek letter).
we also know the tyre excerts a torque and a tangential force is found as T = I * w (where I'm missing another 2 greek letters) and the tangential force will be divided by the radius.
so we can find the force at which a tyre will slip given the radius and mass and angular acceleration of the tyre and the weight of bike (assuming it has no front wheel, divide by the mass distribution) and coefficient of friction of a given tyre by saying:
(I * w)/r = u * N and solve for whatever dependant variable you wish, input the rest.
and because a wheel is an odd shape you'll have to do some pretty strange maths to work out the moment of intertia (yay torsional oscilations!) but that's beside the point.
what you really need to do next is solve the equation for angular acceleration and find the limit as mass tends to infinity.
I'm pretty sure I'm right, I'll ask my lab tutor in about a weeks time.
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