This is really a great topic. At first I, like many others, were like, "of course it won't fly. It will stay stationary on the treadmill and not generate lift by air flowing over the wings."
Then I thought about it some, and realize that I was unconsciously comparing the plane to a car, and imagining the wheels turning to move the plane forward. Once I realized I was making that wrong assumption, it became clear that the plane would fly. The wheels will have to turn at 200 knots, or whatever twice as fast as normal is, but wheels on various fast cars do that all the time.
The rollerskates with a rope explanation really is the best. The wheels really have nothing to do with anything. All a planes wheels do is keep it from scraping the paint on the runway and allow it to steer. Assuming the wheels can turn fast enough, the conveyor could be going 5x faster than the takeoff speed and it wouldn't matter.
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