For s5100e.. the calculator does have a pinch flat predictor.. this is run by an energy equation that take tire spring rate and radial height and then compares compression energy to rider mass/velocity. Early versions of the calculator had an 'average speed' entered as a velocity number, but since the energy calculation is taking 'average' velocity and then assuming a velocity distribution based on that number, people were always tripping the warning by saying they rode at 'average speed' of 25mph..
As for the rest of it, the problem with impedance is that it really encompasses 3 components, 2 rider related and 1 tire related:
1. High vertical accelerations make for extra high Crr numbers, so to Tom's broomstick analogy, normal Crr is the difference between energy put into the tire to make the contact patch vs energy given back by the tire as it returns to shape. But in the impedance realm, the vertical forces can be so high that the tire is off the ground when it gives back that energy..so if you high speed a tire hitting a broom stick, you see this massive compression against the tire both vertically and diagonally against the direction of motion, followed by the tire going 'airborne' over the other side of the broomstick and the tire regaining shape before hitting the ground.. so NONE of the energy is going back.
2. Rider contact points: different riders will have different contact point hysteresis and different stiffnesses of bike will affect this as well. Ride the Carrefour de l'Arbre 1 time and your hands will be hot and blistered.. this is hysteresis
3. Rider body composition hysteresis. This is perhaps the biggest question using our data.. nearly all of our data comes from world class athletes and even the non pros on our list are guys/gals with some serious fitness and palmares. This is important if you think about hysteresis as damping.. the more fit you are the lower your body damping coefficient will be. To a 180lb person who is 2% body fat will have lower damping than a 180lb person who is 20% body fat, so in theory this should likely move the break point lower for higher hysteresis people and higher for lower hysteresis people... and looking at the athletes on our list, they are by and large about the lowest hysteresis people you could find!!
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