A fuel tank \( 4 \) m aft of the centre of gravity is filled with \( 3 \) t on a \( 70 \) t aircraft. The centre of gravity moves aft by
Answer: A
Correct answer: 0.164 m
Adding weight increases the total, so it appears in the denominator: \[ \Delta x = \frac{w \times d}{W + w} = \frac{3 \times 4}{70 + 3} = \frac{12}{73} = 0.164\ \text{m aft.} \] Using 70 rather than 73 gives 0.171 m, which is offered as a distractor. The rule is the same in both directions: divide the moment by the weight the aircraft finishes with.
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