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How would the empty weight center of gravity be expressed in % MAC?

- MAC = Station 895.2 to 1205.7
- Empty Weight = 198,600 lbs.
- EWCG = 912.9"

Answer :

To calculate the %MAC, subtract the LEMAC station from the TEMAC station to find the MAC length, subtract the EWCG position from the LEMAC to find the distance of EWCG from the LEMAC, divide this distance by the MAC length, and multiply by 100.Therefore, the empty weight center of gravity expressed in %MAC is (17.7 / 310.5) * 100 ≈ 5.70%.

The question is asking how to express the empty weight center of gravity (EWCG) of an aircraft in percentage of the Mean Aerodynamic Chord (%MAC). The Mean Aerodynamic Chord is a reference chord length for an airplane's wing that represents the aerodynamic center of the wing. To calculate the %MAC, one needs the position of the empty weight center of gravity (EWCG), the leading edge of the MAC (LEMAC) station, and the trailing edge of the MAC (TEMAC) station.

First, find the MAC length by subtracting the LEMAC station from the TEMAC station. Then, subtract the position of the EWCG from the LEMAC station to find the distance of the EWCG from the LEMAC. Finally, divide this distance by the total MAC length and multiply by 100 to express it as a percentage.

For the given values, the MAC length is 1205.7 - 895.2 = 310.5 inches. The distance of EWCG from LEMAC is 912.9 - 895.2 = 17.7 inches. Therefore, the empty weight center of gravity expressed in %MAC is (17.7 / 310.5) * 100 ≈ 5.70%.

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