Universal wing- and fin-beat frequency scaling

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Filip Larsen
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Good to know the power of dimensional analysis is still able to find gold:
We derive an equation that applies for the wing-beat frequency of flying animals and to the fin-stroke frequency of diving animals like penguins and whales. The equation states that the wing/fin-beat frequency is proportional to the square root of the animal’s mass divided by the wing area. [...] the constant of proportionality is to a good approximation the same across all species
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0303834
Log-log scatter plot of wing or fin beat frequency in Hz against sqrt(Mass)/Wing area in kg^1/2 m^-2, with a black model prediction line, data for insects, birds, bats, ornithopter, penguins and whales, and photos of animals along the margins.
 
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What I find astonishing here is that flying through air and swimming through a heavy viscous fluid land on the same curve.
 
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