Hmmmm.... Theoretical.... one of my favorite words. No regulations either. We all know that there are no regulations for Formula One races in Theoreticland.
So, we're speaking of 750 HP and 100% efficiency (well, 99.9%, before a theoretician in physics points out the error).
At 18000 rpm we have... what? 18*2*pi/60 kilorads per second. As 750 Hp are 750 * 745.7 watts, we should have a torque at the rear wheels when you launch your car of (750HP*745.7watts/HP)/(18000RPM*2*pi/60seg/min) which is 297 newtons-meter. Pretty puny, as this means 218 pounds-feet for the Anglophiles.
With misserable 300 newtons-meter and as the car has a COG that (let's say) is 2 meters ahead of the wheels, you can exert a force of 150 Newtons.
No, you cannot do wheelies in a Formula One unless some smart person discover where I made I mistake.
We already knew that the torque of an 18.000 rpm engine sucks.
Second, the perfect adherent tyres.
The gecko raises a more interesting question, as the acceleration is limited only by the tensile strength of the fibers in its feet that somehow "hook" from the ceiling. If you are not using friction but effectively hooking yourself to the surface, tyres are radically different.
If that's the case, then the theoretical limit would be to have as many hooking fibers in the tyres as you need to completely cover the patch area. This means that you are essentially welding the tyre to the tarmac. So, the limit would be the strength of the tyre "material". It's exactly like using a centrifuge with a solid axle.
As (I think) Kevlar is the material with the highest tensile strength per weight, let's imagine Gecko feet made of kevlar, that adheres perfectly to the tarmac using a technology yet to be developed.
Then, as carbon fiber weighs 1440 kilograms per cubic meter and has a tensile strength of 3620 Megapascals, which is the same as 3620 million Newtons per square meter, this means you need an acceleration of 3620 million N/m2 / 1140kg to break one of those fibers by its weight alone. This is 2.5 million meters/seg2 or around 250.000 g.
In English, this is a quarter of a million times the force of gravity.
So, if you are taking a curve at 300 kph and you use the full potential of your "tyres", you could take curves with a radius of 2 millimeters. Those are not tracks, but more like railroads.
This would make for, perhaps, boring circuits, as the straights would have no curves between them. A tad boring, except for the disintegration of the drivers after taking the first curve at 250000 g.
Last edited by Ciro Pabón
on Mon Feb 28, 2011 12:49 am, edited 2 times in total.