This stuff isn't complex.... it goes as follows:-
With the SAME driver with good experience of BOTH engines and type of tyres....;-
1) Any engine with a BETTER power output (more usuable power) will ALWAYS beat the standard power. It's damned hard to have TOO much power!
2) The better tyres will ALWAYS beat the worse tyres. It's simply IMPOSSIBLE to have TOO MUCH GRIP! Period!
3) The better the SPREAD of power will usually beat the more 'rev-restricted' engine (unless you can create a TALL but NARROW peak of power that is EXACTLY on the rev range in which you remain for the WHOLE track)
There's a second part that you are fogetting about with the extra POWER of an FA:
The Rotax can develop its useful power band within a ptretty restricted rev range. The Rear Sprocket has to deliver the MAX spead at failry low revs and thus, the sproket needs to be quite small by 'race' standards.
However. The FA delivers usable power across a MUCH larger range and can peak ata M*U*C*H higher rev limit. That allsow the FA to use a MUCH large rear sprocket as it can deliver ITS top speed with the revs a LOT higher and STILL Not 'run-out of revs'. That larger rear sprocket also delivers MUCH more acceleration out of corners and thus, by WIDENING the power band (not JUST rasing the TOP revs), you have given the kart MUCH greater acceleration from the GEARING choices without needing to increase the power produced!
Add that to the extra POWER available from an FA and you have a pretty damned POTENT vehicle: Better Tyres, More POWER, wider REV band
You simply have to remember the Rotax was designed as a LEISURE engine and N*O*T a RACE engine! In that way, it's nearer to a PROKart engine than a RACE engine! FA motors are REALLY something ELSE!
Ian
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