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Regarding the horizontal tail of a conventional airplane, which one of the following statements is true?

  • A.It contributes to \(C_{m_{\alpha}} \lt 0\)
  • B.It makes \(C_{m_{\alpha}} = 0\)
  • C.It makes \(C_{m_{\alpha}} \gt 0\)
  • D.It makes \(C_{m0} \gt 0\) and \(C_{m_{\alpha}} \gt 0\)

Answer: A

The horizontal tail contributes to \(C_{m_{\alpha}} \lt 0\).

Static longitudinal stability requires the pitching moment coefficient to fall as angle of attack rises (\(C_{m_{\alpha}} \lt 0\)), so that a nose-up disturbance produces a nose-down restoring moment. A tail behind the centre of gravity gains lift when the angle of attack increases, and because it acts on a long moment arm aft of the c.g., that lift produces a nose-down moment. This is the main stabilising contribution in a conventional airplane.

The tail does not make \(C_{m_{\alpha}}\) zero (neutral stability) or positive (unstable); those would describe an aircraft without adequate tail volume. The tail is usually set to give a positive \(C_{m0}\) for trim, but paired with a positive \(C_{m_{\alpha}}\) that option describes an unstable airplane.

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