2026 Aircraft Weight & Balance Complete Practice Test

CG is the weighted average location of all empty-weight components, found by dividing the total moment by the total weight. Start from the original empty weight and moment: 1,800 lb with a CG of +31.5 in gives a moment of 1,800 × 31.5 = 56,700 in-lb.

Apply each change while updating both weight and moment:

- Remove 30 lb at +72 in: weight becomes 1,770 lb, moment becomes 56,700 − (30 × 72) = 54,540 in-lb.

- Add 14 lb at +76 in: weight becomes 1,784 lb, moment becomes 54,540 + (14 × 76) = 55,604 in-lb.

- Add 20 lb at +73.5 in: weight becomes 1,804 lb, moment becomes 55,604 + (20 × 73.5) = 57,074 in-lb.

- Add 30 lb at +30 in: weight becomes 1,834 lb, moment becomes 57,074 + (30 × 30) = 57,974 in-lb.

Final CG = 57,974 / 1,834 ≈ 31.61 in.

Thus the new empty weight CG is about +31.61 inches.