What is the loaded moment and the category of the aircraft with an empty weight of 1,350 lb, pilot and front passenger weight of 380 lb, and fuel of 48 gallons?

To determine the loaded moment and category of the aircraft, you first need to calculate the total weight and the corresponding moment.

The empty weight of the aircraft is 1,350 lb. The pilot and front passenger add an additional 380 lb. Next, you would need to account for the fuel weight. With 48 gallons of fuel, and assuming an average fuel weight of 6 lb per gallon, the total weight of the fuel would be 288 lb (48 gallons x 6 lb/gallon).

Adding these components together gives a total weight:

1,350 lb (empty weight) + 380 lb (pilot and passenger) + 288 lb (fuel) = 2,018 lb total weight.

Next, to calculate the loaded moment, you would typically use a specified moment arm for each component (aircraft, passengers, and fuel). These moment arms are often defined in the aircraft's weight and balance documentation. For instance, if you assume the moment arms are 10 inches for the aircraft empty weight, 37 inches for both the pilot and front passenger, and 30 inches for the fuel, you would calculate the moments as follows:

• Aircraft moment: 1,350 lb * 10 in = 13,