Its not contradictory. The problem is the question is poorly worded. If the belt is only moving at the instantaneous speed of the aircraft, it will take off because friction has less and less impact as the aircraft accelerates on the treadmill. Eventually the speed of the aircraft will negate enough friction on the wheels to move it forward (as the treadmill is only going as fast as the aircraft and not compensating), allowing it to acheive enough lift to take off at some point.
The problem should say a 'frictionless treadmill' or simply that it counteracts the forward momentum of the aircraft. If its not hypothetical, then actual values would have to be listed. As such the problem can't be solved because some aircraft would never be able to achieve enough lift on a real full-scale conveyor system, because their maximum ground speed wouldn't negate enough friction to give forward motion. Think heavy, low-thrust aircraft vs superlights for instance.
Plane Treadmill
Re: Plane Treadmill
--Azurai
Re: Plane Treadmill
Holy fucking christ.
Make it stop.
Make it stop.
Re: Plane Treadmill
Amerle wrote:Holy fucking christ.
Make it stop.
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Re: Plane Treadmill
Mythbusters answered the question. You can all stop fighting now.Amerle wrote:Holy fucking christ.
Make it stop.
Re: Plane Treadmill
Man it's like the twilight zone... I post my post and then there is one after me by the time I scroll back.
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I'M TRIPPIN BALLS MAN
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Re: Plane Treadmill
treadmills don't move, they rotate, kekAzurai wrote:Its not contradictory. The problem is the question is poorly worded. If the belt is only moving at the instantaneous speed of the aircraft, it will take off because friction has less and less impact as the aircraft accelerates on the treadmill. Eventually the speed of the aircraft will negate enough friction on the wheels to move it forward (as the treadmill is only going as fast as the aircraft and not compensating), allowing it to acheive enough lift to take off at some point.
The problem should say a 'frictionless treadmill' or simply that it counteracts the forward momentum of the aircraft. If its not hypothetical, then actual values would have to be listed. As such the problem can't be solved because some aircraft would never be able to achieve enough lift on a real full-scale conveyor system, because their maximum ground speed wouldn't negate enough friction to give forward motion. Think heavy, low-thrust aircraft vs superlights for instance.