Quote:
Originally posted by chumpmann:

"This conveyor has a control system that tracks the plane's
speed and tunes the speed of the conveyor to be exactly the same (but
in the opposite direction)."

If you are saying that the wheels are moving twice as fast, then the conveyer is not matching the planes speed. the plane is going faster.
No.

The SPEED of the wheels will be the exact same as the aircraft. They're fixed to the plane in the horizontal & vertical axis. However, they're not fixed in the Z axis, which means:

The ROTATIONAL VELOCITY (the only thing the treadmill can actually effect on the plane) will be faster than the treadmill is moving.

But we don't really give a damn about the ROTATIONAL VELOCITY of the wheels, do we? We care about the SPEED of the aircraft. Which, while the treadmill accelerates in the opposite direction as the plane accelerates, they do not have any shared forces whatsoever. The treadmill causes ROTATIONAL VELOCITY/ACCELERATION of the tires, only. The plane causes DIRECTIONAL velocity/acceleration of the tires via the pin that holds them in place (the axle shaft).

There are 3 dimensions of movement, here, and you're not realizing the Plane effects 2 of them (moving forward (x-axis) & upward (y-axis)). The treadmill effects the 3rd (causing rotation of the tires about the Z axis). ANY force about the Z-AXIS does NOT counteract ANY force about the X or Y axis.

You're still confusing rotational veloctiy of the tires as the speed of the plane. It's not. The two are not interchangeable properties.