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If you move a toy car with your hand along a tread mill it still moves because the motion is not based on the wheels. Same thing with the plane the engines move it not the wheels.
A plane (747 passenger jet) is sitting on a runway that can move (some sort of band conveyor). The plane moves in one direction, while the conveyor moves in the opposite direction. This conveyor has a control system that tracks the planes speed and tunes the speed of the conveyor to be exactly the same (but in the opposite direction).
Will the plane (747 passenger jet) take off or not?
Unless the plane is tied off to something, it will accelerate forward, regardless of how fast the conveyor is moving. The forward speed of the plane is a function of thrust versus drag and in this case, the freely spinning wheels will create no drag and will thus be unable to prevent the plane from accelerating. Once the plane reaches the correct airspeed (where lift exceeds weight), it will in fact be flying.
wouldnt overall speed be 0mph then.. compared to the ground
The conveyor would only have an impact on the movement of the plane if the wheels were not free to rotate. Since wheel speed is not a factor in whether the plane moves (thrust versus drag) the plane would move forward and ultimately fly.
Nitramjr...you got it right. 78f-150Super, sometimes I just can't come up with the right words to get my point across, so bear with me here:
The physical forces involved: Thrust of engines - the high velocity jet blast out the engines will have a reactionary force, which is to move the plane forward Forward velocity - as forward velocity increases, so does the speed of the air moving over the wings. The faster the speed, the more lift produced Airplane wheels - The wheels are free-spinning, except of course when brakes are applied. As long as they are spinning, they act like roller bearings and completely nullify the effect of the runway Runway - moving or stationary, it makes no difference to the plane as long as the engines are producing thrust, the plane is propelled forward by the reaction to that thrust, and the forward velocity relative to the AIR (not the runway) is enough to creat lift.
I was taking into account too many factors. I am leaning towards your answer right now DonsFx4. Still need to ponder.
EDIT: Yeah, Dons, you're probably right. I was going overboard with friction when the wheels could simply be free moving :-P In that case, there is negligible force between the plane and the ground and the engines can push the plane forward using the air as the medium.<o></o>
Last edited by 78f-150Supercab; Dec 8, 2005 at 07:31 PM.
This conveyor has a control system that tracks the planes speed and tunes the speed of the conveyor to be exactly the same (but in the opposite direction).
Don't forget about this statement in the original problem. This statement means that the speed of the plane relative to the ground is 0.
But that only applies if the force of the plane is solely on the ground (the belt). But as Dons noted, the wheels act like bearings, negating any force that the belt has on the plane and it is the thrust that moves the plane forward.
But that only applies if the force of the plane is solely on the ground (the belt). But as Dons noted, the wheels act like bearings, negating any force that the belt has on the plane and it is the thrust that moves the plane forward.
Ooooohhhhhhhhh....That's why I'm a programmer and not an engineer.