Originally posted by octagon
a quick thought, fuel to the fire, the notion that the physiognomy of sprinters and climbers is differnt is fallacious. essentially both represent the same task, that is applying a foprce to pedals in order to change momentum.
1. If I employ similar logic, cyclists, car racers, rowers, distance runners and 100m sprinters are identical physiologically - everyone is just trying to complete the course as fast as possible. Just because a task is similar in some way doesn't make the physiology the same.
2. They are trying to change momentum? Which would be why they take on water bottles huh? So they can weigh more and win by having greater momentum? (p=mv, for anyone who's wondering, momentum is mass by velocity)
They are trying to change speed or velocity, not momentum (though these are equivalent for objects of the same mass, using momentum seems to show a lack of understanding on your part).
3. A sprinter needs a short burst of power (say 2-10 minutes fighting for position almost flat out with a 20-30 second punch at the end to kick and win), and enough baseline endurance (or teammates to push) to get him there with his sprint intact (or her/hers). A climber needs to maintain a constant power for a long time, say 30 minutes plus. They do need to accelerate to follow the occassional attack, or make an attack, but this is very different to what a sprinter does.
Also, a climber can differ (by being much smaller) from a rolleur, time trialler or good flatland domestique (who does maintain a high constant power for 30 mins plus). This is because the primary force opposing motion when riding on a flat is air resistance, not weight. When ascending, weight becomes much more important.
And yes, I know a=f/m (acceleration is force divided by mass), and that does mean that for a given force, someone with a lower mass accelerates quicker even on a flat, but more muscle mass allows sprinters to generate much higher forces, and this higher force massively outweighs the gain of mass.
Perhaps you can provide a coherent explanation why Chechu Rubeira isn't leading out Heras out at the end of the flat stages in the tour? I don't think it's just Postal's one for Lance, all for Lance attitude. Or why pettachi needs to be pushed up hills?
The physiology of a sprinter is hugely different to that of a climber - that's why they train different, look different and race different.
in either instance being heavier makes it harder to change speed and direction (or to resist any forces applied constantly to you). galilleo proved thatt he force of gravity is not significantly different for bodies of different mass of humanish size.
4. Galileo expressed it a lot more elegantly than you - and he didn't misapply physics to try to explain physiology.
(oh yeah, and the notion that heavier bikes go downhill faster is guff as well, lighter bikes go faster, because they have less inertia at the top. gravity is constant (enough) for anything)
5. If gravity is constant (enough) for everything, then how did you decide lighter bikes go faster down hills? Less inertia at the top? What are you talking about?
The force of gravity is EXACTLY THE SAME on any object on earth in a newtonian system (give or take a few decimal points for where you are on Earth and a few other variables). I don't think my computer goes to enough decimal places to detect or express the error in a newtonian system when we're talking about things the size of bikes and people. The only change between similarly shaped objects of different masses is caused by the force of air resistance opposing the force of gravity.
If two objects are the same size and shape, the heavier falls quicker because the air resistance opposing it is the same, while the force on the object is greater. (force from gravity=constantXmass)
Do the maths. It's high school physics, and you either don't understand it or can't express it. Either way, it doesn't prove your point. Sprinters and climbers are different beasts.
6. To get the physics right, try punching some numbers into the calculators at
http://www.analyticcycling.com/
7. To work out the physiology, keep thinking and learning, and keep simplistic analyses of physiology based on other random facts you might know out of it.