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What could this formula be?
(sopuli.xyz)
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You're eating the air resistance anyway so probably not the worst idea if it generates a more than negligible amount.
It will increase air resistance, so you don't gain anything (a turbine will need more power to spin when there is an electric load).
Not if you position it, say, in front of the car so that you're getting energy without getting hit without much additional force. If you somehow don't need to see, the whole front of the car can be turned into a turbine. Now obviously we're not making a perpetual motion machine here, but this could theoretically be the air resistance equivalent of regenerative braking.
Still increases air resistance. It gets hit by air, and that pushes it back into the fuselage.
Larger aircraft commonly have a ram air turbine (RAT) or Air Driven Generator (ADG) to provide some electrical power and hydraulics in certain emergency situations.
On CRJs, it's right up the front: https://www.youtube.com/watch?v=MxgPrpjByTE
Still delivers a percent or two penalty to fuel burn, and the tiny little generator doesn't even come remotely close to making up for that.