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This is at best a first order model. But the assumptions are wrong.

It illustrates an important principle, the quadratic dependance of KE. It encourages the argument to lower speed limits.

All good things.

But the vehicle dynamics are wrong.

Vehicle stopping force depends on tire traction not the brakes [1]. You'd think it's a wash but tire traction depends (non linearly) on the normal force which is vehicle weight plus aerodynamics. At 100 kph, aero matters.

Aero can go either way. A ferrari or a rice racer with a massive wing will get decent down force and have improved braking performance lowering final impact speed. A van will probably have lift and therefore worse traction.

Finally there are drag effects, not at all negligible at 100kph.

[1] obviously; brakes have hydraulic calipers. As long as they're at operating temperature, they're fine. Brakes are sized for far more abuse than a single emergency slam. If your brakes can skid the tires, the brakes are not the limiting factor.




> A ferrari or a rice racer with a massive wing will get decent down force and have improved braking performance lowering final impact speed.

A memory of a groundbreaking car in the history of racing there...

A video on the the Chaparral 2J - which has some interesting things with its downforce. https://youtu.be/WDaX3gFop7I

From Wikipedia - https://en.wikipedia.org/wiki/Chaparral_2J

> The skirting produced a zone within which the fans could create a vacuum producing downforce on the order of 1.25 to 1.50 g when the car was fully loaded (fuel, oil, coolant). Tremendous gripping power and greater maneuverability at all speeds were produced. Since it created the same levels of low pressure under the car at all speeds, downforce did not decrease at lower speeds. With other aerodynamic devices, downforce decreased as the car slowed or reached too much of a slip angle.


The fan car! Classic.

I was thinking more of a road going Ferrari. But, wing, fan or whatever, the principle is the same: as soon as the normal force on the tires is anything other than the weight of car, the quadratic model brakes down.


This is all correct. I must be getting older or wiser, but to me an increasing number of explainers and even journal articles look like "oh, that's how you ride a bike! I will write an article on velodrome design."




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