Forgive me, if I'm brief but something that happened in this thread earlier
(it seems to be gone now, but it's so sad because it's the third time this person has done something like this - so I have no other option than to assume that it was an intentional attempt to ruin this) really pissed me off. For the same reason I'm cutting this thing short.
Otokoshi has the exactly right answer - it will take off just as usual, except that the wheels will be spinning twice as fast. Entirely regardless of what kind of a plane it is. Only thing that could possibly prevent it from taking off is the increased rolling resistance of the tires, and increased friction of the bearings - since they are spinning twice as fast as they normally would. This is a much smaller force than the aerodynamic drag however, so no plane should have much difficulty overcoming it.
As the plane's engines try to move it in relation to the
air surrounding it (which certainly is not traveling with the belt's surface), it doesn't actually matter what the belt does - how fast it moves or which way - or what the wheels are doing, as long as they are not locked.
There is another version of the question, with a slightly different wording, and that is much, much more tricky; the question specifies that the belt is trying to match the speed of the wheels
(well, the speed the wheel's road surface is traveling around and around - wheel itself of course travels just as fast as the plane), and as far as I can see it, this could lead to a case where belt's speed reaches infinity soon after the start. But since this question was talking only about the speed of the plane, it's not a problem here.
And yes, if someone is wondering, the speed of the plane and the speed of the belt's surface are both in relation to a stationary outside observer - or "real world", if you prefer. The question obviously wouldn't work, if they were for example measured in relation to each other, or something like that.
Here's one explanation and
here's another
(that explains the "matching the wheel speed"-issue, as well).Reason I asked this was because this seems to generate massive amounts of debate, and even some real life pilots seem to misunderstand the simple laws physics that make their planes fly:
http://txfx.net/2005/12/08/airplane-on-a-conveyor-belt/http://forum.physorg.com/index.php?showtopic=2417http://www.airliners.net/discussions/tech_ops/read.main/136068/1/#1http://www.r3vlimited.com/board/showthread.php?t=79439PS. On the other hand, car with a wings attached to it
(nevermind that such a thing could never actually really fly - without a propeller or a jet engine or some other alternative means of propulsion, since wheels can't power it when airborne) would never lift off. Simply because cars, unlike planes, use their wheels to generate motion and as such have to do it in relation to the belt's surface, not air. So, car would just sit on the belt, never moving, because the belt would simply match any attempt to go forward.