It's a bird, it's a plane, it' 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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