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Five complete phugoid cycles are timed at 450 seconds. The phugoid period and, by Lanchester's relation, the approximate trim speed are

  • A.45 s and 100 m/s
  • B.90 s and 200 m/s
  • C.450 s and 1000 m/s
  • D.90 s and 90 m/s

Answer: B

The period is \( 450/5 = 90 \ \mathrm{s} \), and inverting \( T \approx 0.45\,u_0 \) gives \( u_0 \approx 90/0.45 = 200 \ \mathrm{m/s} \), so 90 s and 200 m/s. Timing several cycles and dividing is the standard flight-test technique, since it averages away the difficulty of picking a single peak on a noisy trace. The second option forgets to divide by the number of cycles. The third reads the period as a speed. The fourth halves the period, which would follow from counting half cycles as whole ones.

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