autogyro wrote:The video shows the engine 'bogging' for at least a second as the driver feathers the throttle to prevent excess wheel spin.
This is not engine bogging, but simply the driver feathering the throttle to prevent the engine from attempting to develop a motive force above the tyre's traction limit, which would cause the wheels to spin. If the driver were given a shorter (higher ratio) first gear, the car would generate more motive force for a given throttle setting, and therefore the driver would have to feather the throttle even more to prevent wheelspin, there would be no increase in acceleration (in fact, as Tommy points out, it would be even worse due to the higher inertia caused by the increase in ratio between the road wheel rpm and the engine rpm). Added to that the team would be forced to provide a lower second gear to fill the "hole" left by the overly short first gear; widening the gaps between subsequent gear changes and therefore causing the engine to operate out of its ideal range.
The amount of traction at that point was limited by the low revs of the engine.
Traction ("the maximum frictional force that can be produced between surfaces without slipping"), is unaffected by gearing, engine revs, engine power, engine torque, driven wheel power or driven wheel torque. It is a function of the tyres, the road surface, and the "normal" (downward) force acting between the tyre and road surfaces.
Kimi made no gearchanges from start to 100kmh, which shows his gearing was higher than usual for 1st gear.
Whilst a 100km/hr up-shift from 1st would be considered high for a normal car, A long (low ratio) 1st gear is typical for any car which has a high power to weight ratio and therefore is traction limited at low speeds, and therefore would not benefit from a shorter (higher ratio) 1st gear. A typical modification to a hillclimb or sprint car (a discipline in which the start is much more important than a race due to the short run length) is to change the gear ratios for one with a long (low ratio) 1st gear. Alternatively many competitors simply start using 2nd gear, ignoring 1st gear for the reasons given. The following link shows the gear ratios offered by Quaife for their Ford Type E gearbox replacement as used in many Lotus 7 type cars used in competition which have high power:weight ratios (by virtue of their very low weight). The original gearboxes typically come from Ford with a short (3.5:1 or there abouts) 1st gear (with top gear remaining the same at 1:1). Quaife, and all the people buying and using these gearboxes in competition, didn't get their sums wrong.
http://www.quaife.co.uk/shop/products/qbe9z
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I'm sorry if it feels like I'm picking on you Auto, but I find it hard to take in the rest of your posts when you get the fundamentals so wrong... sorry dude.