Given the empty weight of 1,495.0 lb and an arm of 101.4 inches, what is the center of gravity (CG) for the pilot and passengers if they weigh 380.0 lb and the arm is 64.0 inches?

To calculate the center of gravity (CG) for the aircraft with the included weight of the pilot and passengers, you first need to determine the total weight and the moment about the reference point.

The moment is calculated by multiplying the weight by its corresponding arm (distance from the reference point).

First, calculate the total weight:

• Empty weight = 1,495.0 lb

• Pilot and passengers = 380.0 lb

• Total weight = 1,495.0 lb + 380.0 lb = 1,875.0 lb

Next, find the moments:

• Moment for empty weight = Weight x Arm = 1,495.0 lb x 101.4 inches = 151,353.0 lb-in

• Moment for pilot and passengers = Weight x Arm = 380.0 lb x 64.0 inches = 24,320.0 lb-in

Now, add the moments together:

• Total moment = 151,353.0 lb-in + 24,320.0 lb-in = 175,673.0 lb-in

Now you can calculate the center of gravity using the formula:

CG = Total moment / Total weight

Plugging in the values:

CG =