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Why are rate derivatives normalised with a length over twice the speed rather than simply over the speed?

  • A.It makes the derivatives dimensionless, which dividing by speed alone would not
  • B.It compensates for the factor of two in dynamic pressure
  • C.It converts radians into degrees
  • D.It is a long-standing convention that keeps the semi-chord or semi-span as the reference

Answer: D

Both forms are dimensionless, so the factor of two is convention rather than necessity, arising from the use of a semi-chord or semi-span as the natural reference length in unsteady aerodynamics. What matters is consistency: a derivative quoted under one convention and used under another is out by a factor of two. The dynamic pressure factor is separate and already accounted for. And nothing here touches the choice of angular unit.

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