What is the new empty weight CG after the listed alterations?

What is the new empty weight CG after the listed alterations?

• A. +32.50
• B. +34.25
• C. +33.68
• D. +33.00

Answer: (C)

The concept being tested is how to determine the new empty weight center of gravity after making alterations. The CG is found by balancing moments around a reference datum: you sum all the moments (weight × arm) of what contributes to the empty weight, and you sum all the weights, then divide the total moment by the total weight to get the CG location. To apply this after alterations, add up the moments of every added or swapped item (each item’s weight times its arm), and add those weights to the original empty weight to get the new empty weight. The new CG is then the total moment divided by this new empty weight. The resulting value of +33.68 inches means that, when you combine the original empty weight, the added equipment, and their respective arms, the total moment divided by the new empty weight comes out to +33.68 inches. If you had different sums of added weight or different arm positions, you’d get different CG values, which would correspond to the other options. The value shown reflects the actual data (weights and arms) from the alterations and the math described above.

The concept being tested is how to determine the new empty weight center of gravity after making alterations. The CG is found by balancing moments around a reference datum: you sum all the moments (weight × arm) of what contributes to the empty weight, and you sum all the weights, then divide the total moment by the total weight to get the CG location.

To apply this after alterations, add up the moments of every added or swapped item (each item’s weight times its arm), and add those weights to the original empty weight to get the new empty weight. The new CG is then the total moment divided by this new empty weight. The resulting value of +33.68 inches means that, when you combine the original empty weight, the added equipment, and their respective arms, the total moment divided by the new empty weight comes out to +33.68 inches.

If you had different sums of added weight or different arm positions, you’d get different CG values, which would correspond to the other options. The value shown reflects the actual data (weights and arms) from the alterations and the math described above.