What is the CG expressed in %MAC when the LEMAC is 500 inches aft of datum, MAC is 100 inches, and the center of gravity is located 522 inches aft of datum?

To determine the center of gravity (CG) expressed in percentage of Mean Aerodynamic Chord (MAC), start by finding the difference between the CG location and the Leading Edge of the Mean Aerodynamic Chord (LEMAC).

First, calculate where the LEMAC is located relative to the CG:

• The LEMAC is at 500 inches aft of the datum.

• The CG is at 522 inches aft of the datum.

Next, calculate the distance from LEMAC to CG:

• Distance from LEMAC to CG = CG location - LEMAC location

= 522 inches - 500 inches

= 22 inches.

Now, convert that distance into a fraction of the total Mean Aerodynamic Chord (MAC):

• Since the MAC is given as 100 inches, the percentage of MAC that the CG is located from LEMAC is calculated as follows:

Percentage of MAC = (Distance from LEMAC to CG / MAC) * 100

= (22 inches / 100 inches) * 100

= 22 percent.

Thus, expressing the CG in percent of MAC shows that the CG is located 22 percent aft of LEMAC, which corresponds to the correct answer.