@Bennet,
No, I did take that that into account.
Maybe the way you described the experiment is incomplete, but by the terms you gave us any increase in thrust by the aircraft will be counteracted by an increase in drag (by the conveyor belt). This will result in a net acceleration of zero.
Like I said, a headwind will get the plane off the ground. (So, yes, I did take into account the difference between ground speed and air speed.)
Bennet wrote:Since conveyor belt simply moves at an equal and opposite velocity to the plane's wheel
The whole proposal is silly, but that may be the most silly of all. When the plane is at rest, the wheel has no "velocity" and is not rotating.
Either a) the conveyor belt makes sure that the net acceleration is zero, thus preventing the plane fro taking off or b) the conveyor just moves in the same direction as the airplane, making sure the wheels never have to turn.
I understand the whole point is to demonstrate the difference between ground speed and wind speed. The idea itself isn't that counter intuitive; you've just constructed a poor way to visualize it.
I think a better way to visualize it would be to ask, what is the minimum air speed required for a fixed wing aircraft to make a vertical (
i.e., zero ground speed) take off or landing? As long as the wind speed is above the stall speed, then the aircraft could do so.