Last night I was skimming through the latest postings on BoingBoing, and came upon this one. I had heard of this “question” before, but never gave it much thought. Here’s the gist of it:
Imagine a plane is sitting on a massive conveyor belt, as wide and as long as a runway. The conveyer belt is designed to exactly match the speed of the wheels, moving in the opposite direction. Can the plane take off?
At first, I thought this was the stupidest question I’d ever heard of. I had initially imagined the problem as the plane was sitting on a treadmill just big enough for the wheels to sit on, and these people thought that by spinning up the wheels the plane would takeoff. However, the problem actually states that the treadmill is the exact dimensions of a standard runway.
So, I think of it like this: Planes fly because of “lift”. In order to get lift, according to Bernoulli’s Principle, you must have sufficient airflow over the wings so that an area of low pressure is created above the wing (due to the air having to travel a longer distance than below the wing, so it moves faster) and an area of high pressure is created below the wing. When this pressure differential is great enough to overcome the weight of the plane, the wings produce lift and take the plane aloft.
Understanding that, if the plane is sitting on a treadmill that is able to adjust it’s speed (apparently instantly) to match the rotational speed of the wheels, can the engines still move the plane forwards, and at great enough speed to get the required airflow over the wings to generate lift? My answer: Not being a physics expert, I’m not sure. Here are my two theories for both sides of the argument.
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