thom
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Yeah but... ok so the force you need to apply is less but the work you put into the crank is the same if the cadence remains constant :Maybe, maybe not. At the same power output & rpm 175mm cranks deliver a 3% reduction in require pedal pressure compared to 170mm cranks. That's about 1/2-1/3 of a 1t gear step. When pushing big gears riders can want sub-1t gearing steps.
Work = Force x distance
The outer radius being greater, so the distance moved is longer.
And since your power output is the rate of doing work, that will be the same. I'm guessing that there is some kind of physiological sweet spot that suit ones individual body that is a pay off between pedal pressure and crank length. As a few others have said, I very much doubt people can really tell (on a road bike at least) without accurate machine measurement though.
To be honest, I'm rather confused by this and have been since I saw a comment about how Wiggo improved his TT performance this year over last year. Although Wiggo does have specific preferences about crank length this is more about cadence and gearing (which is related to gearing as previously mentioned).
I think the story is that last year, SKY spent a lot of time analysing TT performance for Wiggo, going with the perceived wisdom that high cadence was good. Remember, there's a physiological aspect to muscle this, in that with blood flow, your blood flow is removing lactic from muscles when they aren't in tension ( I think...). So a higher cadence helps flush out the lactic more frequently... ? I dunno but I thought that was part of LA's high cadence climbing logic although clearly now, all bets are off on that one ;-)
Anyway, SKY essentially couldn't really understand how Tony Martin managed to outperform Wiggo throughout the season in TTs because they did pretty much everything they could - TM was not close but a lot better than Wiggo.
So last winter, they experimented with lower cadences and higher gearing like TM, and they found that in the mechanics of the bike/body that Wiggo could then produce a higher torque for the same power output during TTs...
So that's what they went with this year and I think Wiggo had to work on changing his TT style quite hard.
This is my honest recollection of something Wiggo said but I don't quite understand it because I think it has to be explained by there being some power leak when at a higher cadence - perhaps the power transfer in the pedal stroke is more efficient at a slower cadence because the angle you apply pressure at varies more slowly ? perhaps because you don't do as much work to move the body/legs as much that helps ? perhaps Wiggo's body is more efficient at
doing work with a certain pedal pressure ? I'm speculating because I think the mathematical mechanics kind of says, for the same cadence, whatever the crank length, the work you do to move the pedal is the same and varying the crank length is like others have mentioned, just the same as varying the gearing.