If you can use up to 7500 rpm, with the maximum allowed trap speed of 110 mph corresponding to 1680 rpm at the axle with 22" tires (not accounting for tire growth with speed), then you could use up a drive ratio up to 4.4:1. It may be that a greater ratio is not mechanically practical, due to the minimum size of the motor pulley (to maintain at least the minimum bend radius for the belt) or the maximum size of the axle pulley (for component clearance or other factors)... I'm sure that's already been considered.

There's no need to go with more reduction if you can't use the drive force (due to limited traction), and even with the 3.33:1 reduction you may need to set a lower current limit to prevent wheelspin (assuming that you want to electronically control that rather than depending on the driver's control of the accelerator pedal).

I didn't see a link to the motor: it appears to be the

YASA-400 (

datasheet)

At 500 volts, the constant-torque range ends at 3000 rpm motor speed, which would be 900 rpm axle speed with this gearing, and 59 mph with the 22" tires... well down the 1/8 mile, but not to the end so the run would finish in the constant-power zone.

If the tires have enough traction to use all 360 lb-ft of drive torque at low speed, that would be 1309 lb of forward thrust (with 22" tires, assuming 11" loaded radius and no losses in the belt drive or tires). That's 1.73 g of acceleration (assuming 755 lb total weight), so 59 mph would come up in only 1.55 seconds after about 20 metre or 48 feet, without rolling or aerodynamic drag. Due to drag it will take longer and cover more of the track... perhaps roughly around the 60-ft mark (reached in 1.633 seconds by Terry in a timing slip that he posted for his "golf cart" drag racer at Ozark). If you have the traction to handle the thrust, this is looking good for a Jr. Comp run.

To finish the 1/8 mile, another 4.2 seconds of constant-power acceleration at 85 kW (well under peak power for 500 volts, but above the cooling-limited continuous power), minus a wild guess of 15 kW (average over the speed range) for drag, adds about 280 kJ of kinetic energy to the 116 kJ of energy at 26 m/s (59 mph), to reach 48 m/s or 107 mph. Calculating the distance covered to see if the 1/8 mile is reached in this time is past my one-line-on-the-calculator-on-Sunday-afternoon level, but it looks promising... it's faster than Terry's time for the 1/8th.

If anyone remembers the link for the online calculator (as I mentioned in the other thread) which produces acceleration given various motor and car characteristics, the data could be plugged into that to predict performance. Both aero drag and rolling drag will be pretty rough guesses, unless someone has suitable data - drag slicks are way off of average tires, and dragsters are way off of typical cars.