21/03/2026
https://www.facebook.com/share/18a9i6Zd64/
Recently, a comment was made to the effect that aero forces will affect the "double the speed, double the distance" stop relationship notion. That is not wrong, but let's think about that for a bit...Today' first step is "How do we calculate the aerodynamic drag on a body moving thru the air? The equation is pretty simple:
Fdrag = 0.5* rho * v² *Cd*A
where
rho is the density of the fluid you're moving through, commonly taken to be about 0.0765 slugs/ft³ ( 1.22 kg/m³ ) at sea level;
v is velocity in ft/s or m/s
Cd is the drag coefficient, pretty commonly in the 0.3 range for modern sedans
A is the frontal area punching a hole in the air
So, for a speed of 65mph (95.3 ft/s, ) and a typical car with frontal area of about 23 square feet (2.1 m²) we get:
F = 0.0765slugs/ft³ * 95.3² ft²/s² * 0.30 * 23ft² =2,396 Slugs*ft/s²
Man those units are goofy. I think I have the conversions all correct. If I'm wrong, I figure someone will check me on it, but getting the same answer in English and SI units gives me hope. What we really want is how many pounds of force the wind is applying, so divide by 32.17 to get Drag Force = 74.5 lb. If our car weighs 3,800 lb, then the aero forces will slow it by (74 lb / 3800 lb) = 0.02g. Compared to actual brake application of 0.2g for gentle slowing and 0.7g or more for hard braking, the aero forces are pretty small. They do increase as the square of the speed, though, so they build quickly. If you're working wrecks on the Autobahn at 125mph, aero probably does become a player...but it can be simply baked into your coefficient by conducting actual coasting and braking tests at comparable speeds.
One set of force-while-coasting-down test data is shown for a larger vehicle at higher speed, after releasing the throttle. The paper that test came from is in the Reference library, titled "2013 Fuel_Efficiency_by_Coasting_in_the_Vehicle aero drag example".
Peace. -W
EDIT: As an aside, I would love to find a copy of George Bonnett's IPTM treatise on the topic. It is out of print now, but it was titled "THE AIRBORNE DRAG FACTOR - Flying at Zero Altitude". Anyone got a copy?