Hi,
Let's put things differently.
I bought a hundred new A123 batteries from E-bay (around $700) and it took forever for me to get them. So long in fact that I got reimbursed through Paypall and the seller even sent me a gift with his profound apologies. I was trying the bike with other LifePo4s at the time and the power delivery wasn't there. I even bought a MagicPie from GM so that I wouldn't feel as if I was wasting the frame. To my utter surprise, I finally got the batteries and they were 'hell' to weld together. My dual motor project went back on track.
So 96 batteries got used.
16 different rows in series --- 16 X 3.6V = 57.6V that's the voltage I work with.
6 different batteries in parallel make each row --- 6 X 2.3 Amp/h = 13.8 Amp/h and that's the capacity of the battery.
When I accelerate, the motors demands up to 2500W and the battery voltage sags to about 48V, more or less. That means that on average, the motors demand
2500W / 48V = 52 amps.
If my battery capacity is 14 Amps for an hour, then demanding 52 amps reduces my battery time by 52 / 14 = 3.7. That means that if i ride the bike at full capacity I have 60 minutes / 3.7 = 16 minutes of full available power.
Now, nobody goes full speed all the time. One starts, stops, ride free and that extends the time that the bike is running. Because of the transmission, I can also use the bike at up to 40 km/h and use the lower power of the motors and only spend like 500W and I can thus extend my range. Riding electric is very Zen in terms of when you apply power and when you don't and that's also why regenarative power is BS You'll never make up your loss)
So, why the A123? It about the C rating. When I was running the normal LifePo4, I had 53V at 20 amp/h. The C rating is the rate at which you can draw more capacity from the batteries. A LifePo4 battery can deliver 2C easily but 3C is demanding a lot. I needed 50 amps but the batteries were only comfortable delivering 40 amps. They got hot very quickly and would fail. The A123 however have a rating of up to 7C and although I only have 14 amps/h, they have a capacity up to almost a 100 amps which is over what I need and therefore, they're happy.
It's always better to have more batteries than needed.
Hope that helped you.