[Oblivious]

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But the OP said there was a direct relationship between the wheels and the conveyor, so how do you say the wheels don't matter? The OP specifically states that it does matter.

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Because the conveyor doesn't matter either!!!!

The question, in the long run, comes down to: will a plane take off as it is designed to?

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Once again, the OP states that the conveyor does in fact matter. It presents a state where the conveyor and the wheels are moving at the same speed in opposite directions. You can't state that as a condition and then say "Well once you add thrust you can ignore that condition". Unless the OP actually said that, but it didn't, so I don't see how you can blame all these guys who read that and assume that the airspeed must be 0.

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You dont have to "ignore" the fact that the wheel and runway move/rotate at the same linear velocity. I present a case where the wheel and runway have infinite linear velocity as soon as the plane moves one smidgen forward. Who can claim that inifinity>infinity is false? Since we cant use infinity like a number in algebraic equations, it might be mathematically sound that the wheel has a finite displacement (lateral motion) and an infinite rotational motion, while the runway also has an infinite rotational motion. Since we cant define the rotational motions of the wheel or the conveyor, saying that they are equal isnt such an atrocity.