Fday said:
Hey Fergie, I thought I would bring this back up because I would like to know if you can explain what is going on here for the "masses"(as if anyone would classify the few still viewing this thread as "masses") who may not understand or who may think you just mistyped.
In general, one would expect higher speed to require higher power yet above your write: "Speed goes up in the bends and power goes down and vice versa on the straights." Anyhow, just thought I would find out if you could explain why this is so without violating the laws of thermodynamics.
Thanks for sticking around.
Actually it has to happen in order to be consistent with the laws of thermodynamics. And anyone who's ridden the track or inspected power meter data from track riders would know this in any case.
The speed measured at the wheels goes up when you transition from straights to bends for two reasons:
1. In the bends the wheels travel a greater arc than the centre of mass of rider, while both are traveling at the same rotational speed. This creates an increase in the pedal speed (fixed gear) which sometimes take a little practice to anticipate and keep the power down. In the straights the wheels and COM travel the same infinitely sized arc (i.e. a straight line).
2. the COM actually lowers when entering the turn (you lean over) and that lowering of gravitational potential energy is converted to an increase in kinetic energy (speed) of the COM. In this way the laws of thermodynamics hold. This adds to the effect described in 1, impacting on the fixed gear cadence in a way that naturally leads to a drop in power output.
The reverse applies when transitioning from turns to the straights.
This is why the speed line (blue) from riding the track looks pseudo-sinusoidal, such as in the example below of 10 laps taken from the track. The power line (yellow), while not a perfect mirror of the speed line, pretty much shows the opposite.
If you look - as the speed drops (enters the straight), the power goes up, then falls again in the bends. Of course sometimes the rider anticipates and tries to keep power going into the bends but it doesn't always happen and the constant fluctuation is sort of natural.
This effect is amplified the faster you go, since the higher the speed the greater the lean in the bends and the greater the change in potential energy of COM.
You can read more about the effect of lean in the bends at analyticcycling.com.
and with 5-sec averaging to sooth the constant changes a little:
Of course it gets quite fun when performing forward integration to predict speed from power on the track and accounting for the variance in speed of COM on air resistance as well as different rolling resistance between straights and bends.