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An aircraft has a design weight of \( 640 \) kN and a chosen wing loading of \( 5.8 \) kN/m\(^2\). The wing area required is

  • A.110.3 m\(^2\)
  • B.3712 m\(^2\)
  • C.91.4 m\(^2\)
  • D.55.2 m\(^2\)

Answer: A

Correct answer: 110.3 m\(^2\)

Wing area is the design weight divided by the chosen wing loading:

\[ S = \frac{W}{W/S} = \frac{640}{5.8} = 110.3\ \mathrm{m}^2 \]

The distractor \( 3712 \) multiplies instead of dividing, which is the error to guard against - a quick sanity check is that a wing loading in kilonewtons per square metre divided into a weight in kilonewtons must leave square metres. This area, with the installed thrust from the other coordinate, is the principal output of the sizing exercise.

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