An aircraft with an empty weight of 1500 lb and EWCG of +28.4 inches is altered by removing two 12-lb seats at +68.5, adding +28-lb structural mods at +73, adding 30-lb seat at +70.5, and adding 25-lb radio at +85. What is the new empty weight CG?

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Multiple Choice

An aircraft with an empty weight of 1500 lb and EWCG of +28.4 inches is altered by removing two 12-lb seats at +68.5, adding +28-lb structural mods at +73, adding 30-lb seat at +70.5, and adding 25-lb radio at +85. What is the new empty weight CG?

Explanation:
To find the new empty weight CG, add up the moments of all changes and divide by the new total weight. Start with the original moment: 1500 lb × 28.4 in = 42,600 in-lb. Apply the changes: - Remove two 12-lb seats at 68.5 in: −24 lb at 68.5 in → −24 × 68.5 = −1,644 in-lb. - Add 28-lb structural mods at 73 in: +28 × 73 = +2,044 in-lb. - Add 30-lb seat at 70.5 in: +30 × 70.5 = +2,115 in-lb. - Add 25-lb radio at 85 in: +25 × 85 = +2,125 in-lb. Net weight change: −24 + 28 + 30 + 25 = +59 lb, so new weight = 1500 + 59 = 1,559 lb. Net moment change: −1,644 + 2,044 + 2,115 + 2,125 = +4,640 in-lb, so new moment = 42,600 + 4,640 = 47,240 in-lb. New empty weight CG = 47,240 in-lb ÷ 1,559 lb ≈ 30.30 in. The CG moves forward to about +30.30 inches.

To find the new empty weight CG, add up the moments of all changes and divide by the new total weight.

Start with the original moment: 1500 lb × 28.4 in = 42,600 in-lb.

Apply the changes:

  • Remove two 12-lb seats at 68.5 in: −24 lb at 68.5 in → −24 × 68.5 = −1,644 in-lb.

  • Add 28-lb structural mods at 73 in: +28 × 73 = +2,044 in-lb.

  • Add 30-lb seat at 70.5 in: +30 × 70.5 = +2,115 in-lb.

  • Add 25-lb radio at 85 in: +25 × 85 = +2,125 in-lb.

Net weight change: −24 + 28 + 30 + 25 = +59 lb, so new weight = 1500 + 59 = 1,559 lb.

Net moment change: −1,644 + 2,044 + 2,115 + 2,125 = +4,640 in-lb, so new moment = 42,600 + 4,640 = 47,240 in-lb.

New empty weight CG = 47,240 in-lb ÷ 1,559 lb ≈ 30.30 in.

The CG moves forward to about +30.30 inches.

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