What is the location of the center of gravity (CG) of a nose wheel airplane with specified weights and positions?

To determine the center of gravity (CG) of a nose wheel airplane, it is essential to understand the principle of balancing the moment created by the weights of the aircraft in relation to their distances from a reference point. The CG represents the point where the aircraft would balance if it were suspended; thus, calculating it requires analyzing the total weight distribution and their respective positions.

In this scenario, if the given weight and position data lead correctly to a CG of -88.2, this indicates that the cumulative effect of the various weights and their distances from the reference point result in a center of gravity located at this specific position. The negative sign signifies that the CG is located ahead of the reference point, which aligns with the typical balance of a nose wheel aircraft where the forward placement of the nose wheel usually means the CG is somewhat forward but still within acceptable limits for stability and control.

Understanding that the other answers represent various positional calculations for the CG, it's clear that they do not align with the balance achieved by the given weights and positions in the problem. Thus, the calculation that leads to -88.2 is confirmed as the accurate position of the center of gravity for this nose wheel airplane.