Answer to Question #6480 in Mechanics | Relativity for Antonia

Question

Hello, I have a question that I've been trying to answer for some time now and it sounds like this: How can you demonstrate the following formula: P=v^2/16, whereas P=wind pressure and v=wind speed.

Thank you!

Answer 1

Pressure depends quadratic ally on velocity (Look at the graph)
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" 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