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An aircraft of mass \( 52000 \) kg has a wing area of \( 105 \) m\(^2\). Its wing loading is

  • A.0.21 kN/m\(^2\)
  • B.9.81 kN/m\(^2\)
  • C.4.86 kN/m\(^2\)
  • D.495 kN/m\(^2\)

Answer: C

Correct answer: 4.86 kN/m\(^2\)

Convert the mass to weight before dividing by the area:

\[ W = 52000 \times 9.81 = 510.1\ \mathrm{kN} \]

\[ \frac{W}{S} = \frac{510.1}{105} = 4.86\ \mathrm{kN/m}^2 \]

The distractor \( 495 \) divides the mass in kilograms by the area without converting to weight, giving kg/m\(^2\) - a perfectly valid unit but not the one asked for. Mixing the two conventions is the commonest error in this calculation; the factor between them is \( g \).

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