This line causes a bit of a problem for me.
Quote:
The conveyer belt is designed to exactly match the speed of the wheels at any given time, moving in the opposite direction of rotation.

This is impossible. As soon as the wheels start moving forward a little, the forward thrust has overcome inertia and friction, and the conveyor belt rolls into action. Unortunately, by moving against the plane, it has caused the wheels to turn FASTER, and as such, the belt must roll faster. Hrmmmm, if they go faster, the wheels will go FASTER. If we assume the quoted statement to be true, the belt must assume infinite speed instantly in order to match the plane's wheel's speed. Which, in "reality" could never happen since the speed of the conveyor belt would always be (speed of conveyor belt) + (speed of plane) relative to the ground.

In other words, it's akin to the paradox of having to always go half the distance to reach something, and therefore never making it. The Zeno Tort.