Spoilers: chipless works at a major battery manufacturer
Or a mental asylum.
... How are you going to apply 500W of power to rotating a generator and expect the generator to be able to output more than the input 500W (theoretical 100% efficiency)

Your not directly but with the pullies you can.
What do you think your pulleys/gears/whatevers do? They balance speed and torque, you don't magically get more power at the other end.
Thats because you are stupid or playing stupid then because it has been stated how it is done.
You are not applying 500w you are using 500w to turn the motor which in return is creating the rotational speed of 1750 rpm.
So i am applying 500w of rotational speed that is then converted to the equivelent of 47 mph wind with a pulley
The 47mph simulated wind speed is then turning the GENERATOR which from 47mph speed produces 2000 watts of power
now I am using the 2000w to energize the batteries which in return powers the inverter.
Which again converts the 2000w into usable ac. 24vdc @2200 watts with a battery bank of 8x 150ah gives you 1166 amps which when converted to ac 220 gives you 127a of useable ac @220v
SO the only power you need is to keep the battery bank charged 2000w of charging power is 83 amps as long as you dont go over using the 83 amp charging power you are fine if you do your batteries discharge at a slow rate eventually stopping at the charge input power. If you need more power you add a second generator head to the mix and now have 166 amps charging power and so on.
YOU clearly do not understand this process or how a charging and inverter system works when a battery is involved.
A grade school kid can understand this process and how it works so come on some of you are grown adults and you are arguing it cant happen.