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The quasi-steady assumption in derivative theory states that

  • A.The aerodynamic forces depend only on the instantaneous motion, not its history
  • B.The aeroplane is always in trimmed flight
  • C.The air is incompressible at all speeds
  • D.The derivatives are independent of the flight condition being considered

Answer: A

Quasi-steady means the flow adjusts so quickly that the forces depend on the current values of the motion variables alone, with no memory of how they were reached. It is a good assumption at the low reduced frequencies of rigid-body motion, and it fails for flutter and for gust penetration, where unsteady aerodynamics is needed. The downwash-lag derivative is the one deliberate exception retained in the rigid-body set. Trim, incompressibility and condition-independence are separate assumptions, and the last of them is simply false.

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