Aircraft Weight & Balance Practice Test

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By how many inches forward did the CG move when the 20 pounds of potable water and 23 pounds of hydraulic fluid were added, compared to the empty-CG position?

0.652 inches aft

0.652 inches forward

Shifting the CG occurs when you add weight in front of or behind the empty-CG position. The distance the CG moves is found from the total moment of the added weights about the empty-CG, divided by the total added weight: delta CG = (sum of Wi * di) / (sum Wi).

Here the added weights are 20 lb of potable water and 23 lb of hydraulic fluid, for a total of 43 lb. The CG will move toward the added weights by the average distance of those weights from the empty-CG, weighted by their masses. Using the given data, this results in a forward shift of 0.652 inches, so the CG moves forward by 0.652 inches relative to the empty-CG position. The forward direction makes sense because both added weights are located ahead of the empty-CG.

1.000 inches forward

0.500 inches forward