FrankDay said:
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Either way, if we consider crank speed essentially constant, all a rider need do to increase power is to increase the torque at any point around the pedal circle such that the average torque around the circle increases. Or, the rider can downshift and increase pedal speed while keeping crank torque constant (hard to do), or some combination of these two that results in an average instantaneous power increase around the pedal circle.
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Ah!, that is our main difference of opinion - I DON'T consider crank speed essentially constant.
The overall rpm might be constant, but the instantaneous rotational speed has a pattern similar to a sine wave.
And 'yes' "all a rider need do to increase power is to increase the torque at any point around the pedal circle.."
But since power is 'mass in motion' (mV**2), the increase in power has to be due to increased speed (motion) at that point, the amount of mass stays constant, so the crank has to have greater instantaneous rotational speed.
If a rider could keep the instanteous rotational crank speed constant throughout the entire rotation (at the same velocity as the maximum crank speed, or perhaps slightly lower), then the overall power would increase.
I think about it this way...
At the low torque section of a crank rotation, the torque decreases because the feet are unable to maintain the instanteous crank speed. Those low torque sections are where the feet need to make a significant change in direction - e.g. from 'pushing down' to 'moving back', and from 'pulling up' to 'moving forward'.
Achieving constant instantaneous rotational crank speed requires the cyclist to be trained so the muscles and coordination are capable of performing the task.
Jay Kosta
Endwell NY USA