KevNurse Wrote: Quote:
I have one question to ask megawatt:
Regardless of wheel speed and conveyor belt speed (which we are told, are equal), does the aircraft move forward relative to the ground surrounding the belt (or the air, if you wish; I'm assuming no headwind component)? The answer to this question is the crux of the matter.
Yes
OK, so we are discussing how/why the wheels are able to move the aircraft forward along the belt.
Here's the question, again:
An aircraft is standing on a very long runway that can move (a conveyor belt). The aircraft moves in one direction, while the conveyor belt moves in the opposite direction. This conveyor belt has a control system that tracks the aircraft's wheels speed and tunes the speed of the conveyor belt to be exactly the same as the wheels, but in the opposite direction. There is no wind. The pilot begins to add thrust to the engines...
Will the plane ever take off?
You boys can talk about control systems and wheel drag to your heart's content, but the fact of the matter is that the belt is "controlled" (by whatever means) to match the speed of the wheels "exactly". It doesn't matter how it does it, the question itself says its a given condition in the problem. Its instantaneous. Its magic.
Therefore, if the wheels are going forward at 2 knots, the belt will go backwards at the same speed. Result: no forward movement of the aircraft. The pilot applies power, so there is an acceleration of the wheels. Acceleration is defined as metres per second per second and whatever the exact speed of the wheels at any time the belt is doing the same, exactly,so they will accelerate at the same rate.
The aircraft will not move fowards. It will not take off. The wheels and the belt will increase speed until a thrust/drag equilibrium is reached, but the question doesn't ask about that.
But, if you make up theories about the wheels having to move first to generate the signal for the belt's control system, i.e some kind of pseudo-realism, I would say that you are giving an answer to a question of your own creation.
The original question is clearly a hypo, but if you consider only the given conditions, there can only be one answer.