While your sophisticated gears can increase the mechanical advantage, you can just increase the output torque but the work done can not be more than the work inputted. Hence, there is no way for small amount of energy to power a large turbine. It is a violation of the law on conservation of energy.

You probably have the temperature set to the "Coldest" setting, but you A/C cannot get you apartment any colder than it is doing. Most A/C units of that size (12,000 BTU of cooling power) are designed to cool as much as 400-500 square feet of area (assuming you are in ideal circumstances eg: no windows, and the temperture is not "scorching" outside. Most unit's will only cool your home as much as 10-20% cooler than the OUTSIDE temperature. So don't be suprised if your apartment is not getting to cold in the summer, because it CANT. I can only assume your apartment is much larger than 500 square feet. Your best bet is to close off other rooms in your apartment to cool a smaller area. It's likely your AC is "Undersized" for the area you are trying to cool. Good luck, Dan Electronics/Appliance Manager 15 years