So I didn't quote the post but on the power required I also got around 50kWh per hour. I used the calculation below
So I have been giving this some thought and I think that it is possible. Don't be shy there will be some math.
1. How much energy does a gas car use?
My car(mid-pack at best) at ~#2700 and not a lot of HP uses around 4 gallons per hour. Call it 5 gallons per hour to a front runner.
One gallon of gas contains 33.7 kWh of energy in it and I will assume that the efficiency(gas to wheels) is around 20%.
5[gal/hour] * 33.7 [kWh] * 0.20[%] = 33.7[kWh/hour][kW]
This means that I need to supply ~34 kW to the car continuously to run at race pace. This is not the same a the battery requirement.
2. How much storage do I need?
Motor and drive line efficiency ~90%
Battery charge usage capacity ~ 80% (can't drain the batteries all the way, Tesla batteries are good to around 80% depletion)
33.7[kWh/hour]/ 0.90 [%] / 0.80 [%] = 46.8 [kWh/hour]
Call it 50 [kWh/hour] of energy consumption continuous.
3. What does this mean for racing?
From looking at race data, front running cars spend ~30-45 min in the pits fueling and changing drivers. Lets call it 35min total off track to be competitive.
I am going to allocate 15min of that 35min to driver changes. Leaving 20min for all of the battery changing.
If I swap batteries every hour I would have to do 14 pit-stops maximum (the brake in the race would reduce this by one), every two hours would be 8 pit-stops.
20 [min] / 14 = 1:25 [m:s]
20 [min] / 8 = 2:30 [m:s]
Conclusion
From looking at this simple calculation I think that it might be possible to be competitive. I think that the battery swap times could be achieved with smart pack design, quick release fasteners and a well design removal/install fixture or rig. I also think that 100 kWh is not an unreasonable amount of batteries, Tesla's already come with 100kWh packs. (you would need like 5x this to have enough sets). It would definitely not be easy but I think it is doable. For less than $50k probably not, and it would require 20x the thought and engineering that goes into a regular Lemons car.
As for the battery and motor heat discussion, they would have to be water cooled. Both the batteries and motors are water cooled on Teslas and I think that this system would have to be modified to increase the cooling capacity. I would need to do a bit more calculation but I would suspect that it is not an unreasonable amount of heat to dissipate.