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A yawing moment derivative of \( +0.09 \) produces, at 5 degrees of sideslip, a coefficient of

  • A.0.45 in the destabilising sense
  • B.0.45 in the restoring sense
  • C.0.018
  • D.0.09

Answer: B

Correct answer: 0.45 in the restoring sense

The derivative is a slope, so the coefficient is its product with the sideslip angle:

\[ C_n = C_{n\beta}\,\beta = 0.09 \times 5 = 0.45 \]

The sign carries the meaning. A positive \( C_{n\beta} \) gives a moment that yaws the nose towards the relative wind, reducing the sideslip that produced it - a restoring moment, which is precisely what directional stability means. Had the derivative been negative the same arithmetic would give a destabilising moment of the same size, which is why the sense must be stated with the number.

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