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Why does a thrown boomerang curve back to the thrower?

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Why does a properly thrown boomerang travel out in a curve and return to the person who threw it, instead of flying in a straight line like any other thrown object?

Posed by Jearl Walker (Flying Circus of Physics), 1975
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History and references

Settled in 1975 by Qualitative gyroscopic-precession + differential-lift explanation established mid-20th century; quantitative flight-dynamics model by Vassberg (2012).

The qualitative mechanism -- each spinning arm behaves as a rotating airfoil, and the upper arm (moving with rotation plus forward velocity) generates more lift than the lower arm, producing a net torque that gyroscopically precesses the spin axis and curves the flight path into a circle -- was understood in outline for decades and is exactly the story Walker tells in the book. Vassberg's 2012 paper coupled blade-element aerodynamic theory with a full gyroscopic model to quantitatively predict flight radius, trim, and stability for real boomerang shapes, closing the remaining quantitative gaps.

A curved stick returning through the air is a working demonstration of gyroscopic precession you can hold in your hand.

Explanations that circulated
  • The boomerang curves because of the thrower's wrist snap alone, with no aerodynamic contribution
  • It is basically a spinning coin skimming through air, unrelated to airfoil lift
References

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