Hi Zeig
The relationship is simple
Torque is proportional to Current
So lets took at your Warp 9 - 500 amps = 100 ft lbs - with a 4:1 final drive that gives 400 ft lbs at the back wheels -
Your wheel will be about 2 ft in diameter - so - 400 ft lbs will give you 400 lbs of push
Is not enough for blistering acceleration
My car is 900 kg (with me in it) and has 55% on the rear = 495 kg - 1089 lbs
So 1200 amps would give - 960 lbs
But my 11 inch motor gives me more torque per amp - So I am getting more "push" than that
Your car is almost certainly going to be lighter so maybe 1000 amps would be enough
You need more Volts to drive the torque as the revs rise
The dreaded back EMF
The Motor diagrams are not much use as they have a controller in the circuit -
they feed say 72v to the controller and the controller reduces that voltage to the voltage that the motor needs to to get the desired current
The way I got the "numbers" for my motor was that I used too low a battery voltage
At 120 volt I accelerated to 100 kph and 200 amps and stayed there - the controller had maxed out and the battery was only supplying enough volts for 200 amps
So knew that 120 volts and 200 amps and 3600 rpm was one of the points on the graph
Back EMF is proportional to current and to rpm
It takes about 10 volt per 1000 amps to overcome the resistive loads in the motor
And the battery sags a bit
So I ended up with about 100 volts Back EMF = 200 amps x 3600 rpm
With my current setup - nominally 340 volt - call it 320 volt
I start off with 1200 amps
At about 1900 rpm (55 kph) my controller is maxed out
By 3800 rpm (110 kph) - I am down to 600 amps
By 5700 rpm (160 kph) - I am down to 400 amps
That is for my 11 inch Hitachi motor
Your 9 inch motor will almost certainly give LESS back EMF per rpm/amp
The relationship is simple
Torque is proportional to Current
So lets took at your Warp 9 - 500 amps = 100 ft lbs - with a 4:1 final drive that gives 400 ft lbs at the back wheels -
Your wheel will be about 2 ft in diameter - so - 400 ft lbs will give you 400 lbs of push
Is not enough for blistering acceleration
My car is 900 kg (with me in it) and has 55% on the rear = 495 kg - 1089 lbs
So 1200 amps would give - 960 lbs
But my 11 inch motor gives me more torque per amp - So I am getting more "push" than that
Your car is almost certainly going to be lighter so maybe 1000 amps would be enough
You need more Volts to drive the torque as the revs rise
The dreaded back EMF
The Motor diagrams are not much use as they have a controller in the circuit -
they feed say 72v to the controller and the controller reduces that voltage to the voltage that the motor needs to to get the desired current
The way I got the "numbers" for my motor was that I used too low a battery voltage
At 120 volt I accelerated to 100 kph and 200 amps and stayed there - the controller had maxed out and the battery was only supplying enough volts for 200 amps
So knew that 120 volts and 200 amps and 3600 rpm was one of the points on the graph
Back EMF is proportional to current and to rpm
It takes about 10 volt per 1000 amps to overcome the resistive loads in the motor
And the battery sags a bit
So I ended up with about 100 volts Back EMF = 200 amps x 3600 rpm
With my current setup - nominally 340 volt - call it 320 volt
I start off with 1200 amps
At about 1900 rpm (55 kph) my controller is maxed out
By 3800 rpm (110 kph) - I am down to 600 amps
By 5700 rpm (160 kph) - I am down to 400 amps
That is for my 11 inch Hitachi motor
Your 9 inch motor will almost certainly give LESS back EMF per rpm/amp