Nice post, but Sheldon's term is 'gain ratios' not 'gear ratios'.
I think folks forget that the crank length is just one lever in a series of 'levers' between the pedals and where the rear tire meets the road. Choosing crank length impacts cadence (for the same CPV as you point out) and it effectively changes your gearing as Sheldon points out and it can sometimes help with fit, especially TT bike fit as you also point out. But overall there's no magic in longer or shorter cranks in terms of free power or huge power losses within reasonable ranges provided by common commercially available crank lengths.
-Dave
I think folks forget that the crank length is just one lever in a series of 'levers' between the pedals and where the rear tire meets the road. Choosing crank length impacts cadence (for the same CPV as you point out) and it effectively changes your gearing as Sheldon points out and it can sometimes help with fit, especially TT bike fit as you also point out. But overall there's no magic in longer or shorter cranks in terms of free power or huge power losses within reasonable ranges provided by common commercially available crank lengths.
-Dave
Originally Posted by joroshiba .
Ok lets think about the whole picture. First of all it is well established (thanks to Jim Martin's research) that as you increase crank length or decrease it you CPV (circumfrential pedal velocity) stays the same. This means that in order for the pedal to move at the same speed, when you move to a shorter crank you are going to increase cadence and the opposite if you decrease. In the same gear you have essentially changed the gearing of the bike now, that is to say for a distance of circumfrential movement you are moving the wheel farther. So it is natural to spin in lower gears, at a higher cadence at the same steady speed with shorter cranks. Now, upon switching cranks, it is possible that muscle firing patterns could take some time to adjust if you have lots of time on different length cranks as you are now spinning different size circles.
Now lets get to the "torque" issue everyone likes to discuss. A longer lever does create more torque, but we must remember that you are not interested in creating torque around the BB, but around the wheel axle (the stuff that makes your bike actually move). Given what we know about how the gearing of the bike physically changes when you switch crank lengths, we will find that torque around the hub does NOT change. Yes it is easier to push a given gear with a longer crank, because that given gear is essentially smaller and you are going slower in it. (Sheldon Brown had a great way for accounting or this in his gearing calculations known as "gear ratios". The best way to compare gearing!!)
In the end, what it comes down to is ride what you feel comfortable riding, and fits your body. An overly long crank for your body size will result in a hip angle that is very acute on the top end of your stroke for an optimal extension. Too short and you have the opposite problem. For this reason, many people attempting to get a very aggressive TT fit will go with a shorter crank: it allows them to get aggressive without running into hip angle issues. The academic research I have seen points to limited to know power generation difference in the range of crank lengths people actually use. http://www.plan2peak.com/files/32_article_JMartinCrankLengthPedalingTechnique.pdf