FrankDay said:The circumference of the circle is relevant. The question is what happens to the other elements involved in power production when you make that change.
For instance, increasing crank length means increased pedal speed for the same cadence. It is harder to apply force to the pedal if it is moving away from you faster (and easier to put negative force on the upstroke if the pedal is coming up faster). Further, it might be harder to apply force if the knee configuration is adversly changed.
As I tried to say before, we have to look at all the elements involved in this equation to see what happens. If we want to understand how these elements play against each other it seems to me what we want to do is actually run the experiment to see what really happens then try to explain the data rather than predict what we think would happen then not run the experiment to see if we are right. Surely no one would predict that one-rep power would be max at 145mm crank length. But that is what Martin found. How does one explain that outcome?
As I mentioned in my earlier post my biomechanics reading is way out of date. I do remember reading about a 1970s test that suggested that racing cyclists were all pedalling too fast, and that lower cadences were more efficient. It was also stated that racing cyclists weren't strong enough and needed to do more weight training in order to push higher gears at a lower cadence. The problem was that when this was transferred to the real world it didn't work, as little things such as acceleration came in.
I mentioned Indurain earlier, this is a real world example of someone who was big, tall, and very fast both going up mountains and also in time-trials. Indurain was known for spinning smallish gears on the climbs. Now the shorter crank argument would be that this was not efficient, yet I assume that Indurain went through scientific testing to work out the best equipment to use.
