M@DM!KE said:
I am not going to try and justify my position on this any longer. Your lunacy has been realised by the masses already.
so my first year physics on rotational dynamics are a little rusty... and some how doubt I will find anything about it in my 2nd + 3rd year textbooks (didn't keep any of my first year books...) so sitting down with a pen and pad... I come up with this (I'm sure you can fill me in where I've missed something?)...
the kinetic energy of a particle is 1/2 mv^{2}. A wheel is just a whole bunch of bits all stuck together in a circle. You could get all fancy and start doing closed integrals but... The velocity at the edge of a circle is 2 x Pi x r x (rps) which just happens to the circumference of a the wheel by how fast it's spinning. because the wheel is moving with you, funilly enough the velocity at the edge of said wheel will be the same as the current velocity of the bike. cool... got that out of the way... so funnilly enough we're back to the Ke of a wheel being 1/2mv^{2}. you will note this is kinda linear to the mass. I see no exponential difference in mass there what so ever just 'cause it's spinning
so now I want to accelerate my wheel (and me )... and I apply a bunch of force. that force rotates the wheel and does a bunch of work which adds to the overall kinetic energy of my wheel. funnilly enough the kinetic energy of my wheel is still 1/2mv^{2} relative to my bikes velocity. I can't see how I have to add any different sort of work to increase the energy of my wheel? is rotational work some how different? it's still force x displacement ain't it?, that is the force required to accelerate that little particle over an arc length? add all the particles up and you get .... my wheel!
hey wow, those equations for the Ke of a wheel look surprsingly like the ke of well.... me! as I hurtle along the country side. so perhaps I can add them all up, but mass is linear in all of them so I can group them like this yeah?
1/2(M_{wheels} + M_{bike} + M_{me}) x v^{2}
holy mac... well that ain't no look no different to before!
I mean... I could be a little rusty, all I do is play with computers all day now (in an office chair incidently) and could easily be overlooking some fundamental law of physics... so far though I havn't figured out where I should be doing something special for my rotating bits..
so... i'm still not convinced I'm not missing something obvious, but when dealing with moving things, you can rely on kinetic energy as a basis. As m@dmike would know (being a fundamental law of physics), energy is always conserved, it doesn't just disappear or appear out of no where. funnilly enough, it's also associative, that is the energy of the system is equal to the energy of all it's parts.
That's not to say the weight of the wheel makes no difference. A heavy wheel will have a higher level of angular momentum. Angular momentum is what keeps a bike upright (more or less) (there's this thing called the right hand rule which explains this... kinda ) so I'm guessing if your wheels are heavier, then cornering on flat or off camber might be a bit more interesting, throwing the bike around in the air will be a bit harder etc... though it might track better down rutted and loose stuff.
why does a 2.5" tyre feel slower... 'cause it is. Again energy is always conserved, but you burn it in so many places, tyre wall flex, tread flex, traction etc... is just some. Then there's having to push 2.5" of rubber through the air at speed, never pretty. moutain biking though has a bunch of different conditions you have to put up with. clearly there are conditions where the 2.5" tyre is optimal. I would suggest there are lots where the maxxlite's are not...
So again... I could be wrong, but at least i've just offered more than a hand waving response. And johnjohn, who's a reasonably well respected cycling professional, has even coughed up some numerical numbers.
so if you are right, then please type something up and explain it, 'cause clearly then I'm missing something? Don't just insult us and respond back with "clearly everbody knows..." 'cause clearly I don't... shows some numbers, and write up... something which proves it. Currently you've done nothing to "Justify your position" other than to waive your hands about and quote some magazine article I don't have.
anyway... i'm done. I wasn't going to say anything but then you started insulting people without actually presenting any facts to your argument
neither Liamo, JohnJohn or myself have claimed that reducing any part of your bike weight will make no difference. We have all equally claimed though that in the scheme of things, it makes bugger all difference if you already have a reasonably light bike. The cost benefit ratio just isn't there for the average punter. all up you might get a couple of percent difference, the difference between the A grade guys and the C grade guys at wsmtb was closer to 30% I some how doubt a set of blingy wheels is going to bridge that...
*shrug*
Cheers
Gonz