Peak Horsepower

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without that information the statement "shifting at PEAK TORQUE 4K RPMS will NOT give fastest run" can not be answered as being correct or not, and it also depends on what your definition of fastest run is.
You change gears on new bike at 4k, I will at 6k. Wonder who wins! Really?
 
You change gears on new bike at 4k, I will at 6k. Wonder who wins! Really?
if on my roadster (assume 142 ft.lbs @ 3200rpm, Comparison: VMax vs. 3Max) would shift at 4k rpm to 2nd gear (ratio 1.95, from 2.93) the rpm would drop to 2700 rpm. at that rpm i'm below max torque for that gear. going up again in 2nd gear to 4k would after the shift drop me to 2900 rpm and again below max torque for 3th gear. From 3th to 4th, 4000rpm @3th brings me to 3100 rpm in 4th and missed the max torque as that sits around 3200 rpm in that gear.

Therefore based on the gearing and torque profile i would shift around 4200rpm and by doing so always land when shifting a gear up again in the max torque for that next gear.

PS Max hp @ ~5300rpm
 
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My last bike was a Yamaha Road Star Warrior 1700 cc.
This bike explains real good the difference between torque and horsepower.
This bike only has 87 hp at crank but torque is 140 nm
This means that with less power than-for example- a Bmw gs 1200, acceleration is stronger. At 3750 rpm torque was very high and blocked rear wheel if you changed from 4th to 3th like a engine brake.
Power ends at 4750 Rpm in the Warrior and Bmw at 8000 Rpm.
Quarter mile numbers was a bit faster the Yamaha.
A good comparison is a small hammer doing a job beating 10 times for second in a wall. It uses Rpm to make the job and got a power "x"
Using a big hammer you apply more impact to break the wall but you can't move it as fast as the small one.
Imagine a good combination of both, Rpm and big cc and you have a hot rod.
 
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