How do you calculate the CG in percent of MAC if given CG as 840.5 inches aft of datum, LEMAC as 786 inches, and TEMAC as 1,029 inches?

To calculate the Center of Gravity (CG) as a percentage of the Mean Aerodynamic Chord (MAC), you first need to find the MAC value. The MAC can be determined using the formula:

[ MAC = TEMAC - LEMAC ]

In this case, substituting the provided values:

[ MAC = 1029 \text{ inches} - 786 \text{ inches} = 243 \text{ inches} ]

Next, calculate the distance of the CG from the Leading Edge of the Mean Aerodynamic Chord (LEMAC). The CG should be expressed in relation to the MAC:

[ \text{Distance from LEMAC to CG} = CG - LEMAC = 840.5 \text{ inches} - 786 \text{ inches} = 54.5 \text{ inches} ]

The next step is to find the CG as a percentage of the MAC:

[ \text{Percentage of MAC} = \left( \frac{\text{Distance from LEMAC to CG}}{MAC} \right) \times 100 ]

Plugging in the values:

[ \text{Percentage of MAC} = \left( \frac{54.5 \text