As a pilot and aircraft owner for almost 30 years I can attest to the fact that: An airplanes ability to fly is 100% dependent on AIR SPEED (The measured speed of the air over the wing) Unless the tread mill is on the back of a truck moving at the appropriate speed for flight of the plane in question, that plane aint going any where. GROUND SPEED (The measured speed the aircraft is moving along the ground) is completely irrelevent flight. If your in a plane that can fly at 40 knots and the wind is blowing 40 knots directly at the plane then you can fly with no power and have no forward motion(ground speed) The airspeed indicator in the plane will show 40 knots. I used to live in Daytona Bch and on really windy days I would take my plane along the beach and fly backwards. Head wind of 50knots and my plane was capable of flight at 33 knots. I was actually moving backwards at a ground speed of 17 knots, really trippy to people watching from the beach.
While I completely understand most of this post and fully understand that a plane capable of flying at 30 knots can fly "backwards" relative to the ground in a 40 knot headwind, this statement baffles me:
If your in a plane that can fly at 40 knots and the wind is blowing 40 knots directly at the plane then you can fly with no power
How are you going to fly with no power? Your power might consist of a cable holding you stationary relative to the ground. But you have to have power to overcome the 40 knot wind or your plane will just move backwards at 40 knots or however fast it can move given the friction of the landing gear on the ground. In order to hover or move backwards over the beach, you were applying just enough power to balance the 40 knot wind, or slightly less to back up. If you can fly without power (gliders aside, since they need a powered tow to get them in the air to begin with), you should start an airline because you will eliminate the biggest operating cost (fuel). Of course, since your unpowered flights don't actually go anywhere but just hover in place, I don't suppose a lot of people will buy tickets.
As for the damn treadmill, if the myth is based on the treadmill going fast enough to balance the thrust and the only way for the treadmill to act on the plane is by spinning the wheels, its going to have to go very fast or you're going to have to limit the thrust the airplane is allowed to develop to a tiny amount, not sufficient to get it off the ground with or without the treadmill. Think a plane could take off from a frictionless surface? Of course it could because it does not depend on friction with the surface it's on for movement.
Its a silly myth not really worthy of a Mythbuster's test because its based on a misconception - that airplanes move forward by pushing against the ground. Its like a perpetual motion machine. It doesn't work because you have to suspend a law of nature (every action has an equal opposite reaction) for it to work. (Perpetual motion machines don't work for a variety of reasons, depending on their design - friction, thermal dynamics, gravity, entropy.)
Now the water heater launches - those were awesome. That was the best test they've ever done.