This is an interesting quote from this site:
http://www.mpoweruk.com/alternatives.htm
Energy storage in a flywheel is as old as the potters wheel. Slow speed flywheels, combined with opportunity charging at bus stops have been used since the 1950s for public transport applications, however they are very bulky and very heavy and this has limited their adoption.
This combination of quotes seems to me to indicate that you could store about 0.1 kWh. Is that very much or not?
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The energy stored in a flywheel is given by the following formula
E = ½ Iω2
<snip> and ω is its rotational velocity (rpm).
<snip>The magnitude of the engineering challenge should not be underestimated. A 1 foot diameter flywheel, one foot in length, weighing 23 pounds spinning at 100,000 rpm will store 3 kWh of energy.
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So if your flywheel weighs twice as much, and spins at 10,000 rpm (so I can do the math in my head) then you would store 0.06 kWh. 0.01 kWh is 341 BTU, which is 0.4 oz of gasoline. Or maybe I'm doing the math wrong.
A horizontal spare tire well would be a great place to put the flywheel, it seems. With a horizontal flywheel you avoid weird procession (is that the right word) effects when you go around corners.
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