Not quite. You are correct that peak acceleration occurs at peak torque in any given gear. Now, before we go out on the circuit in our fixed gear kart, we get to choose what that gear is. This is where QoT is correct. We choose the gear that maximises the area under the POWER curve.
Why would we do that? Because getting round a circuit quickly isn't about maximising acceleration (if it were, we'd just fit a bigger rear sprocket). You want to apply the largest force, over a distance (the length of the lap) in the shortest possible time.
Go back to the definitions of Work and Power. Work is Force over a distance. Power is work per unit time. Does that not make Power sound like "applying the largest force, over a distance in the shortest possible time"? As you can see from the formula:
Power (getting work done) = Force (acceleration) * Speed
By altering your gearing, you are trading accelerative ability for speed, and this is something you know intuitively.
Now go back to the original question of the thread. Peak power or peak torque? Why would I say peak power is largely irrelevant? Because, in a kart, without the benefit of gears, over the speed range of the circuit, we only operate at peak power at one speed. Higher torque would be more indicative of the overall performance of the engine (chances are, more torque will equate to more power). Higher power could just mean you have a peaky dog (fine withs gears, bad without).
Dave
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