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A stability derivative is defined as

  • A.The rate of change of a force or moment with a motion variable
  • B.The total force acting on the aeroplane in trimmed flight
  • C.The second derivative of displacement with respect to time
  • D.The ratio of lift to drag at the trim condition, measured in the wind tunnel

Answer: A

A derivative is a partial rate of change: how much force or moment appears per unit change of one motion variable, with the others held at their trim values. That is what makes the linearised equations of motion possible, since each derivative is one coefficient in them. A total force is a trim quantity, not a derivative. The second time derivative of displacement is an acceleration, which the derivatives help to compute rather than being one. Lift-to-drag ratio is a performance parameter that appears in the phugoid damping estimate but is not itself a derivative.

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