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For an aspect ratio of 8 with an elliptic loading and a section slope of \( 2\pi \), the finite-wing lift curve slope from \( C_{L_\alpha} = a_0/(1 + a_0/\pi A) \) is about

  • A.3.1 per radian
  • B.8.0 per radian
  • C.5.0 per radian
  • D.6.3 per radian

Answer: C

Substituting the section value and the aspect ratio:

\[ \begin{aligned} \frac{a_0}{\pi A} &= \frac{6.283}{25.1} = 0.25 \\ C_{L_\alpha} &= \frac{6.283}{1.25} = 5.03 \end{aligned} \]

so about 5.0 per radian: the finite wing loses a fifth of the section slope to induced downwash. 6.3 is the section value returned unchanged, which would need infinite aspect ratio. 3.1 halves it. 8.0 is the aspect ratio quoted back as a slope, which is a units error rather than an arithmetic one.

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