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Answer :
Final answer:
To find the new CG after an aircraft's alterations, calculate the weight and moment changes for each alteration, sum them with the original weight and moment values, and divide the new moment by the new empty weight.
Explanation:
The question asks about the calculation of the new empty weight and centre of gravity (CG) after several alterations to an aircraft. To calculate the new empty weight CG, one must account for the weight changes and the associated arm (moment arm) of each alteration. The moment is the product of the weight of an item and its arm. After all alterations are made, we calculate the total moment and divide by the new empty weight to determine the new CG.
Removing two passenger seats:
-30 lbs (2 seats x 15 lbs) at a moment arm of +71.
Installing a cabinet:
+97 lbs at a moment arm of +71.
Installing a seat and safety belt:
+20 lbs at a moment arm of +94.
Installing radio equipment:
+30 lbs at a moment arm of +94.
To find the new moment:
Original moment: 101673
- (2 seats x 15 lbs x 71) for the seats
+ (97 lbs x 71) for the cabinet
+ (20 lbs x 94) for the seat and the safety belt
+ (30 lbs x 94) for the radio equipment
Then, to find the new empty weight:
Original empty weight: 2886 lbs
- 30 lbs for the seats
+ 97 lbs for the cabinet
+ 20 lbs for the seat and the safety belt
+ 30 lbs for the radio equipment
The new empty weight is the sum of the original empty weight and the weight changes. The new moment is the sum of the original moment and the moment changes. The new CG equals the new moment divided by the new empty weight. Through these calculations, the direction in which the CG has moved (forward or aft from the original position) can be determined.
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