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Phugoid data recorded for one aeroplane at two trim speeds in level flight.

CaseTrim speedMeasured period
1120 m/s54 s
2240 m/s108 s

What do the two records confirm about the phugoid?

  • A.Its period is directly proportional to trim speed
  • B.Its period is independent of trim speed
  • C.Its period varies with the square of the trim speed
  • D.Its period is inversely proportional to trim speed

Answer: A

Doubling the speed has doubled the period, so the period is directly proportional to trim speed, exactly as \( T = \sqrt{2}\pi u_0/g \) predicts. Both records also satisfy the \( T \approx 0.45\,u_0 \) shortcut, which is a quick check that the data are self-consistent. Independence of speed is contradicted by the table itself. A square law would have taken the period to 216 s. An inverse relation would have halved it to 27 s, and is the behaviour of the short period rather than the phugoid, which is a distinction worth fixing firmly.

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