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Burning \( 2 \) t from a tank \( 3 \) m aft of the centre of gravity on a \( 80 \) t aircraft moves the centre of gravity forward by

  • A.0.75 m
  • B.0.025 m
  • C.0.24 m
  • D.0.077 m

Answer: D

Correct answer: 0.077 m

Burning fuel removes weight, so both the total and the moment change: \[ \Delta x = \frac{w \times d}{W - w} = \frac{2 \times 3}{80 - 2} = \frac{6}{78} = 0.077\ \text{m forward.} \] The denominator is the weight remaining, not the weight before - using 80 gives 0.075 m, close enough here to look plausible, which is why the distinction is worth being deliberate about.

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