# It's a bird, it's a plane, it's...no wait, it's just a plane.

Classical Mechanics Level 5

An airplane of a certain density and shape flies at a constant speed. To do so, it must fly with a certain velocity $$v_0$$. If the size of the airplane is scaled up in length, width, and height by a factor of two, it can only fly above a new velocity $$v_1$$. What is $$v_1/v_0$$?

Details and assumptions

• The mass density and relative proportions of the airplane are unchanged - it's just bigger.
• Assume the wings work solely by the Bernoulli effect.
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