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lens shaped rotor section on a giro

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H

herbert

I have a simple question. It's whether an autogyro could autorotate if the blade cross section was compromised by making it 'lens' shaped. By that I mean symetrical in both axes. The lift vector would still point forward presumably enough to get it rotating but what other effects could I anticipate? This is all anticipative or hypothetical but I'd be interested in your predictive powers positive or negative, or what likely one might expect with this shape of aerofoil?
 
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