If 20 lb is added at 60 inches while weight becomes 2,220 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 20 lb is added at 60 inches while weight becomes 2,220 lb, what is the new CG?

Explanation:
Adding weight shifts the center of gravity toward the location where the weight is added. The new CG is the weighted average of the old weight and CG, plus the contribution of the added weight, calculated as CG_new = (W_old × CG_old + W_added × arm_added) / (W_old + W_added). In this scenario, the plane starts at 2,200 lb with a CG of 77.66 inches. A 20 lb weight is added at 60 inches, making the total weight 2,220 lb. The new moment is 2,200 × 77.66 + 20 × 60 = 170,852 + 1,200 = 172,052 in-lb. Divide by the new total weight: CG_new = 172,052 / 2,220 ≈ 77.50 inches. So the CG moves slightly forward, to about 77.5 inches, which matches the given answer.

Adding weight shifts the center of gravity toward the location where the weight is added. The new CG is the weighted average of the old weight and CG, plus the contribution of the added weight, calculated as CG_new = (W_old × CG_old + W_added × arm_added) / (W_old + W_added).

In this scenario, the plane starts at 2,200 lb with a CG of 77.66 inches. A 20 lb weight is added at 60 inches, making the total weight 2,220 lb. The new moment is 2,200 × 77.66 + 20 × 60 = 170,852 + 1,200 = 172,052 in-lb. Divide by the new total weight: CG_new = 172,052 / 2,220 ≈ 77.50 inches.

So the CG moves slightly forward, to about 77.5 inches, which matches the given answer.

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