Originally posted by rabbidrabbit
A plane is standing on a runway that can move like a giant conveyor belt. The plane applies full forward power and attempts to take off. This conveyor has a control system that tracks the plane's wheel speed and tunes the speed of the conveyor to be exactly the same but in the opposite direction, similar to a treadmill.
The question is:
Will the plane take off or not?
In the opposite direction to wheel spin or airplane movement? And is the speed of the "opposite direction" is determined by aircraft speed or wheel speed? You can't tell from the question.
Initially I construed the question to agree with the Boortz article of Dec. 9th posted by Sandman which is one logical construction for the doubly ambiguous question. That article reads:
A riddle was proposed on the Neal Boortz show today:
If an airplane is on a large conveyor belt and is trying to take off by exerting the thrust needed to move it forward at 100 knots, and the conveyor belt starts moving backwards at 100 knots, will the plane be able to take off, or will it just sit stationary relative to the ground, with the backwards speed of the conveyor belt counteracting the forward thrust of the plane?
I somehow suspect that this is the question that Rabidrabbit was attempting to ask but I'm not inside his head. The answer to that question is that the airplane will take off normally with the wheels spinning twice as fast. The belt moves in opposition to the motion of the aircraft.
If the question is answered litterally as written the airplane will take off normally with the wheels motionless. The belt moves in opposition to wheel spin.
The last possible interpretation is the conveyor moves equal and opposite to wheel speed irrespective of the speed of the airplane. If you read it like that you wind up in your basement filming a belt sander documentary.
This thread is rapidly assuming a Swiftian dimension. Recall that the kingdoms of Lilliput and Blefuscu were at permanent war over the correct way to eat a boiled egg: From the round end or the sharp end.
For the most part everyone is correctly answering the question they see.