What would the licensed empty weight CG be if an aircraft was weighted with various weights at specific arm locations?

To determine the licensed empty weight center of gravity (CG) of an aircraft, one must apply the principles of weight and balance calculations. These calculations involve summing the moments produced by various weights at their respective arm locations and then dividing this total moment by the total weight.

When calculating the CG, you first need to list the weights and their corresponding arms (the distances from a reference point, usually the aircraft's datum). The moment for each weight is calculated by multiplying the weight by its arm. The total moment is then summed up, and the licensed empty weight is used to find the CG by taking the total moment divided by the total weight.

The answer indicates a specific numerical result, suggesting that these calculations were done correctly based on the weights and arms provided. In this case, choosing the answer associated with a CG value of 53.14 implies that it aligns with the proper calculations for the given weights and their respective locations. This value would indicate where the aircraft's balance point is when it is weighted appropriately in accordance with standard practices, accounting for all components that contribute to the aircraft's weight and balance, thus ensuring safety and performance in operation.

Understanding these fundamentals is key for an A&P professional, as maintaining proper weight and balance is