At a given mass the CG position is at 15% MAC. If the leading edge of MAC is at a position 625.6 inches aft of the datum and the MAC is given as 134.5 inches, determine the position of the CG in relation to the datum.
For the swept wing aircraft, it is more convenient, for aerodynamic purposes, to relate the CG position to the Mean Aerodynamic Chord (MAC) of a wing. In this case the CG is expressed as a percentage of its position along the MAC (%MAC) from the leading edge (LEMAC).
For this question, 15% MAC means that the CG is 15% along the MAC length (134.5 in.), which corresponds to: 134.5 in. x 0.15 = 20.18 in. aft from the LEMAC.
The LEMAC is 625.6 in. aft from the datum, thus the CG position is: 625.6 in. + 20.18 in. = 645.78 inches aft of the datum.
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