A loading calculation with no implied approval
A fictional planning worksheet gives an empty aeroplane mass of 800 kilograms at an arm of 2.10 metres aft of the datum. Crew mass is 160 kilograms at 2.30 metres and fuel mass is 100 kilograms at 2.50 metres. These are the complete supplied loads for this model, and each arm uses the same reference. A learner averages the three arm values without weighting them by mass. Another correctly adds moments but claims that the resulting center of gravity proves the flight is approved. The task asks for the combined mass and center of gravity and for the limits of the conclusion. No actual loading envelope, maximum mass, fuel reserve or aircraft performance data are supplied. A sound response must show the weighted calculation and keep it separate from certification and operational planning.
1. Calculate total mass and center of gravity.
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Mass is 1060 kilograms. Total moment is 800×2.10+160×2.30+100×2.50=2298 kilogrammetres. Center of gravity is 2298/1060, approximately 2.168 metres aft of datum.
2. Does the numerical result establish approved loading?
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No. The actual applicable mass and center-of-gravity limits and other requirements are absent. A correctly calculated value is not itself evidence that it lies within an approved envelope.