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That's the whole point - it isn't stationary. Sure, the treadmill runs faster and faster, but the wheels dont care, they spin freely. The plane will accelerate, as will the treadmill, but who cares, and the plane will eventually reach enough IAS to takeoff.
The problem is, the engines generate THRUST, not lift. The lift is generated by the drag produced as the plane moves forward through the atmosphere. If the plane is stationary, there is no drag. Run in place. Feel the wind hitting your face? No? Average takeoff speed is about 140-155 mph, if there isn't a 140-155mph wind hitting those wings, you're not going anywhere.
This is true... if the plane doesn't move. No matter how damned fast the wheels / treadmill / anything are going, if there's no wind going over the wings, it won't takeoff, period. The debate basically boils down to, will the plane move (accelerate) with respect to the general frame of reference, i.e. air, non-moving earth (not the treadmill) etc.The treadmill, while not a vacuum, doesn't provide sufficient airflow over the wing. On the other hand, put it on a treadmill with a giant fan at the front, and you'll see it lift off like a kite.
TRUTH
I can say for a fact the plane will not take off if it has no wind for drag over the wings.
This is true... if the plane doesn't move. No matter how damned fast the wheels / treadmill / anything are going, if there's no wind going over the wings, it won't takeoff, period. The debate basically boils down to, will the plane move (accelerate) with respect to the general frame of reference, i.e. air, non-moving earth (not the treadmill) etc.
Varying frames of reference make for exciting questions. Think on this: You have an escalator, but not a stair type, a ramp type, and it is going upstairs. You start at the top, get on a skateboard, and start to roll down. Sure, the treadmill doesn't accelerate in this problem, but it doesnt matter, as it is actually moving FASTER upwards than you are moving downwards at the very onset of the question. Would you argue that you won't roll down the ramp due to gravity?
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Relate that to the airplane example. Replace gravitational pull with thrust from engines from example A, replace upward speed of treadmill with the backward speed of the treadmill from example A. Again, although the treadmill in example A accelerates, it is safe to dismiss this, as in example B, the treadmill is already rolling faster against you than you are rolling against it at time=0.Of course you would, The gravitational pull, 32 ft/s², is greater than the upward speed of the treadmill. Friction and opposite ramp speed won't be much of a factor if the guy has good bearings in his skateboard and has enough mass. He'll roll down the ramp.
True. It is deeper than that, however.
Relate that to the airplane example. Replace gravitational pull with thrust from engines from example A, replace upward speed of treadmill with the backward speed of the treadmill from example A. Again, although the treadmill in example A accelerates, it is safe to dismiss this, as in example B, the treadmill is already rolling faster against you than you are rolling against it at time=0.
Its deeper than that because the question isn't 'can a plane fly without air moving over its wings'... disregarding VTOL technology, it can't. The question is more 'will the plane move', so its just kinda depressing when someone just answers 'no airspeed = flight'
...If it can accelerate in this system at even 1m/s^2, it will eventually fly.