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Statement I: The phugoid takes place at nearly constant angle of attack.

Statement II: In the phugoid the total energy of the aeroplane is exactly constant.

In the light of the above statements, choose the correct answer.

  • A.Both Statement I and Statement II are correct
  • B.Both Statement I and Statement II are incorrect
  • C.Statement I is incorrect but Statement II is correct
  • D.Statement I is correct but Statement II is incorrect

Answer: D

The first statement is the defining property of the mode. The second is nearly but not exactly true, and the difference is the whole reason the phugoid decays. Kinetic and potential energy trade back and forth almost losslessly, but drag removes energy on every cycle, and that slow leak is the damping. If total energy really were constant the motion would be undamped and the aeroplane would oscillate for ever. Lanchester's original idealisation did assume constant energy, which is why it predicts the period well and says nothing about the damping.

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