Lots of good points made already but I think there’s one really crucial aspect missing from the answers thus far.
Mainly a quadcopter configuration requires very very precise and responsive RPM control of each of the four rotors. It is these RPM adjustments that allows it to control itself. This level of RPM control you can get with electric motors but you can’t get with an internal combustion engine.
This works really well on a small scale with a battery-powered drone but we don’t have battery technology with a high enough power to weight ratio to make battery-powered helicopters that can fly for any reasonable time.
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