Did you really just say infinity mph + takeoff speed? And the wheels can't exert force on a plane? Do we also live in a vacuum for this experiment?
If you use the version of the question linked from Corner Carvers, it's a slam-dunk, the plane flies. The version you posted is not "poorly posed". It's a paradox like Dean said.
Quote:
Originally Posted by Dean
Wish I had seen this earlier...
The question is a paradox and has no solution. Theere are two physical systems that are both mutually dependent, and dicontinious at the same timee that generate conditions that mutual exclusive.
The first system is the wings, and airspeed. This combination is the only thing that can lift the plane.
The second system is a belt and planes wheels. "The conveyer belt is designed to exactly match the speed of the wheels at any given time, moving in the opposite direction of rotation."
Since the plane is at rest to begin with "is sat on the beginning of a massive conveyor belt" Wheel speed is zero, and since there is no force directly applied to the wheels, they can never spin since "The conveyer belt is designed to exactly match the speed of the wheels at any given time, moving in the opposite direction of rotation" -0 +0 = 0 . The wheels can never turn. There are no provisions in the premis for the conveyor belt to move for any other reason, other than the wheels rotating, so it can never turn. This is the limiting factor in the wheel/conveyor belt system.
The plane of course though can thrust all it wants, and that force should cause motoin, airspeed, and eventually lift. But the tires/conveyor belt cannot turn/move, so neither can the plane.
Paradox...
Go hop in your time machine and kill your grandfather before your father was born if you don't beleive me.
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