Dividing total moments by total weight gives you what measurement?

Dividing total moments by total weight provides the measurement of the center of gravity (CG) of an aircraft. The center of gravity is a critical point that represents the average location of the weight of an aircraft. It is the point where the entire weight of the aircraft can be considered to act, and it plays a significant role in determining the aircraft's stability and control during flight.

In practical terms, moments are the product of weight and the distance from a reference point (such as the nose of the aircraft) to the CG. By taking the total moments and dividing by the total weight, you effectively calculate the position of this center of gravity based on the distribution of weight within the aircraft. This calculation is essential for ensuring that the aircraft is within acceptable CG limits, which influence flight performance and handling characteristics.

Other options like weight distribution and balance point may relate to the broader concepts of aircraft loading and stability, but they do not represent the precise mathematical definition that dividing total moments by total weight yields. Payload refers specifically to the weight of cargo and passengers, and not the overall measurement associated with moments, making it distinct from the calculation of CG.