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Q:

Why does the air pressure go higher when the air moves slowly and the air pressure lowers when the air is moving faster?

A:

You are describing the Bernoulli principle. Air molecules have a limited amount of energy, and some of this energy is what causes air pressure through the random motion of molecules. When air speeds up due to an obstacle like a wing, some of its energy is converted to movement in one direction. Because there is less energy causing random motion of molecules, there is less air pressure.

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