If 40 lb of baggage is moved from 120 inches to 60 inches, with weight remaining 2,200 lb, what is the new CG?

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Study for the Aircraft Weight and Balance Test. Prepare with flashcards and multiple-choice questions with hints and explanations. Ace your aviation exam with confidence!

Multiple Choice

If 40 lb of baggage is moved from 120 inches to 60 inches, with weight remaining 2,200 lb, what is the new CG?

Explanation:
Center of gravity moves by the amount of weight shifted times how far it moves, divided by the total weight. Here, a 40 lb baggage item is shifted 60 inches toward the nose (from 120 to 60). Compute the change in moment: 40 × (60 − 120) = 40 × −60 = −2400 in-lb. This negative moment means the CG moves forward. The corresponding change in CG is −2400 / 2200 ≈ −1.09 inches. So the CG shifts forward by about 1.1 inches from its original position. If the initial CG before moving the baggage was about 77.6 inches, the new CG is approximately 77.6 − 1.09 ≈ 76.5 inches.

Center of gravity moves by the amount of weight shifted times how far it moves, divided by the total weight. Here, a 40 lb baggage item is shifted 60 inches toward the nose (from 120 to 60).

Compute the change in moment: 40 × (60 − 120) = 40 × −60 = −2400 in-lb. This negative moment means the CG moves forward. The corresponding change in CG is −2400 / 2200 ≈ −1.09 inches.

So the CG shifts forward by about 1.1 inches from its original position. If the initial CG before moving the baggage was about 77.6 inches, the new CG is approximately 77.6 − 1.09 ≈ 76.5 inches.

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