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A Dutch roll damps to half amplitude in 3 cycles while a well damped mode takes 1. The poorly damped case takes

  • A.Twice as many cycles
  • B.Three times as many cycles
  • C.One third as many cycles
  • D.The same number of cycles

Answer: B

Correct answer: Three times as many cycles

The comparison is a ratio of cycles to half amplitude:

\[ \frac{3}{1} = 3 \]

Cycles to half amplitude is the standard measure of oscillatory damping, and fewer is better. A Dutch roll taking three cycles to halve is poorly damped and tiring to fly, since the oscillation persists visibly after every disturbance. The usual causes are excessive dihedral effect relative to directional stability, and the usual remedy is a yaw damper rather than a change to the airframe.

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