Need for constant speed if you have constant torque?
Help me understand some theory here.
The reason for gearboxes in cars, or constant speed props (which is a form of gearing), is to be able to maximise the power by delivering the optimal rpm to the combustion engines sweet spot. As we know, they only produce their rated power and torque at a very narrow rpm band, usually at the top. With electric propulsion, the torque and HP is linear, so there's no need for a gearbox necessarily, as is the case with the Tesla Model S and many other electric cars.
Is it safe to assume that if aircraft had electric propulsion, the need for a CS prop would also be eliminated? Ignoring the feathering needs for now, or critical tip speeds (we'll assume max power is below transsonic) and just looking at the propulsive effects. That would be a correct assumption? Logic would seem to say so, but I want to make sure I'm not overlooking anything.