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Does Crr increase in the same way as wind resistance as speed increases?
Crr is a coefficient, like CdA. The power needed to overcome rolling resistance is the product of Crr, load and speed.
Because of the different relationship, the optimal tyre, after balancing Crr and CdA, could be different at different speeds, e.g. a fast rolling but poor aero tyre could be better at low speed, but a slow rolling but aerodynamically slick one could win out at high speed.
Obviously, what we really want is one tyre to rule them all; the ride and handling of the Open Corsa Evo, the strength, durability and aero performance of the GP4000S and the low Crr of the Veloflex Record, preferably all wrapped up in an an ultra light weight proper UST tubeless package. With a cherry on top.
Does Crr increase in the same way as wind resistance as speed increases?