AiT.....trolly trolly trolly....Go back to the other sandbox and tell them you failed.
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if the airplane is V=0 relative to everything other than the conveyor belt (the way the question was originally formulated)
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idiot....I wish i knew where you worked
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The beautiful little plane is not going up.
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You guys realize the engines aren't there to push wind over the wings right? They're there to provide enough force to propel the aircraft fast enough relative to the fluid that the plane is in (air) so that a lifting force can act on the wings.
If the fluid that the aircraft is in does not generate enough speed so that the wings have a lifting force, it goes nowhere.
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Is it then safe to assume that the thrust the engine produces would be tantamount to pulling on the string?
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"A plane is standing on a runway that can move (some sort of band conveyer). The plane moves in one direction, while the conveyer moves in the opposite direction. This conveyer has a control system that tracks the plane speed and tunes the speed of the conveyer to be exactly the same (but in the opposite direction). Can the plane take off?"
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All of the forward motion of the plane comes from the planes engines, which are in no way affected by the treadmill. The engines are grabbing air that is standing still in front of them, and pushing it away from the plane, the wheels are only along for the ride. Imagine if you had roller skates on your feet and were standing on a treadmill holding a stationary rope that outstretches in front of you. As the treadmill tries to push you backwards, your grasp on the rope keeps you stationary and your wheels spin. Now, someone begins to reel that rope in. The treadmill can try and compensate, but it only means your wheels spin faster, you will move forward in relative space. The same is true for the plane, only instead of grabbing a rope, the plane grabs the still air in front of it. If you were a passenger on such plane, you wouldn't even notice anything different was happening.
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All of the forward motion of the plane comes from the planes engines, which are in no way affected by the treadmill. The engines are grabbing air that is standing still in front of them, and pushing it away from the plane, the wheels are only along for the ride. Imagine if you had roller skates on your feet and were standing on a treadmill holding a stationary rope that outstretches in front of you. As the treadmill tries to push you backwards, your grasp on the rope keeps you stationary and your wheels spin. Now, someone begins to reel that rope in. The treadmill can try and compensate, but it only means your wheels spin faster, you will move forward in relative space. The same is true for the plane, only instead of grabbing a rope, the plane grabs the still air in front of it. If you were a passenger on such plane, you wouldn't even notice anything different was happening.
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doesn't it have something to do with that same fluid that the wings are going through? Yes
Does it have anything to do with those silly wheels that it sits on that can spin and spin all they want and create very little friction? No...
If the plane can push itself forward through the air, it can take off in the same air.