Originally posted by: jagec
Originally posted by: BUrassler
Originally posted by: crazySOB297
For the people that don't get it:
It would be moving, remember a plane does not get thrust from it's wheels. the wheels will just move forward at twice the speed of the aircraft. if the plane hits 100mph, and the conveyor velt is going 100mph the other direction, total wheel speed will be 200mph, with air flowing over the wings at 100mph.
But the OP said that the belt moves in reverse at the exact same speed as the wheels are moving forward, not the plane's speed. So that exaple doesnt work.
I still don't understand this.
The reason this problem sparks such debate is that the original question implies the plane can be kept stationary by putting it on a conveyor belt. In a real-world situation, no conveyor belt can keep a plane from taking off, assuming it has sufficient runway length to get up to takeoff speed.
Here's another analogy. Let's make a dragstrip, where one side is normal asphalt and the other is a giant conveyor belt. Now, stick a car on the conveyor side, put it in neutral, and release the brakes. Put another car on the other side. One car will accelerate to the end of the dragstrip, just like normal, the other car will rely on the conveyor. But wait...when we turn the conveyor belt on, the car's inertia keeps it (more or less) in one place, with the wheel rolling backwards as the conveyor speeds up! The only way that force is transferred from the belt to the car is through the rolling resistance of the wheels, which is very small; we'd have to apply the brakes to see any significant force transfer. Now set up our dragstrip the same way, except on the conveyor, put a rocket car, and set the conveyor to run backwards...when we turn the conveyor on, the rocket car will once again sit almost perfectly still (only a small amount of force being transferred via rolling resistance), but when we light off the rocket it will shoot forwards, regardless of what the conveyor is doing.