After using 30 gallons of fuel, will the CG remain within limits if the initial loading includes an empty weight of 1,271 lbs, a pilot and copilot of 360 lb, a rear seat passenger of 340 lb, and cargo of 340 lb?

To determine if the center of gravity (CG) remains within limits after using 30 gallons of fuel, it's essential to first understand the distribution of weight in the aircraft based on the provided loading values.

Initially, the empty weight of the aircraft is 1,271 lbs. Adding the weights of the pilot and copilot (360 lbs), the rear seat passenger (340 lbs), and the cargo (340 lbs) gives a total initial weight of 2,271 lbs (1,271 + 360 + 340 + 340). When 30 gallons of fuel are consumed from the total weight, the overall weight decreases, which can affect the moments around the center of gravity.

Fuel usage typically shifts the aircraft's CG forward due to the positioning of fuel tanks and the weight being removed from the aft section of the aircraft. In many small aircraft, reducing fuel weight generally helps in keeping the CG within limits since the aft load is decreased.

Since the empty weight and loaded weight resulted in a CG that was still within operational limits prior to fuel consumption, and given that removing weight from the system helps in keeping the CG more forward, the CG remains within acceptable limits even after the fuel is burned.

Therefore, after considering the removal of