Re: The greatest question in the history of human kind.
no not light speed.... it would be the same speed as the WOT speed of the plane
Another victim of not being able to seperate wheels from engines...
If you run the conveyor at the WOT speed of a plane, the wheels just spin twice as fast as the WOT speed of the plane, because they are not linked in any way to the throttle. The engine of the plane acts like a winch... you can move the conveyor under the plane just as fast as you want, and the plane will still move forward at the same speed that the winch is pulling.
Think of it this way, what's the fastest plane ever built... mach 11 or something like that? Run the conveyor at mach 11 with the plane chained to a winch that's not moving? What happens? The wheels spin at mach 11... now start cranking the winch, what happens? The wheels spin at mach 11 plus the speed of the winch and the plane moves forward and air begins to move over the airfoils (wings) which begins to create lift. Now lets say you run the winch at 500mph (well beyond the liftoff speed of any aircraft)... what happens? The same thing, except now the plane is moving forward fast enough that the air passing over the wings is enough for it to take off. That's exactly what's happening here because the propellor acts like a winch. It doesn't matter how fast the wheels are moving, because the propellor will pull the plane forward through the air at the same speed as it would if the wheels wern't moving at all.
Another way to think of it is this...
If a plane is flying over a conveyor belt at an altitude of 100 ft... does it matter how fast the conveyor is moving? Nope... does it matter how fast the planes wheels are spinning? Nope. The only thing that matters is the airspeed of the plane, which is achieved the same way in the air as it is durring takeoff... the prop is pulling the plane forward through the air.
So now imagine that plane flying at 100ft. is at WOT and has an airspeed of 100mph (just for the sake of easy math)... now assume that the wheels are spinning at a speed that matches the speed of the conveyor moving under it, and let's say the conveyor is moving at twice the speed of the plane at WOT... The plane is still flying the same because it doesn't matter how fast the wheels spin... so now if the pilot descends until the wheels touch the conveyor, has anything changed? Is it any different than if the plane was flying above the conveyor? Not at all.
So the aircraft takes off, unless you move the conveyor so fast that the ever so slight friction of the wheels is enough to overcome forward thrust... but that requires the conveyor to move much faster than we have the capability to move anything... think of it this way, airplanes on skids still takeoff, even though the skids excerpt thousands of times the amount of friction that wheels do... so to to move the conveyor at a speed high enough to slow a wheeled aircraft, you would have to move the conveyor at thousands of times the speed that you would have to move it to keep an aircraft on skids from taking off... and since aircraft on skids already have proven they can move over land at more than 100mph... you'd have to move the conveyor at thousands of times 100mph to have the same effect on a wheeled aircraft, as a non-moving runway has on an aircraft on skids. You're already past the speed of light, and you haven't even put enough friction into the picture to prevent it from taking off.
And that's why the plane will always take off.