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Answer :
The Empty Weight Center of Gravity (EWCG) expressed in terms of the Mean Aerodynamic Chord (MAC) is calculated by finding the distance of the EWCG from the Leading Edge of the MAC (LEMAC), dividing by MAC, and then expressing as a percentage. Based on the given values, the EWCG is 2.75% of the MAC.
The question is asking to calculate the Empty Weight Center of Gravity (EWCG) expressed in terms of the Mean Aerodynamic Chord (MAC). To find the EWCG as a percentage of MAC, use the formula:
EWCG% of MAC = ((EWCG - LEMAC) / MAC) * 100%
Based on the provided values:
MAC = 1208 inches
LEMAC = 856.8 inches
Empty Weight (EW) = 124,090 lbs
EWCG = 890 inches
First, calculate the distance of the EWCG from the Leading Edge of the Mean Aerodynamic Chord (LEMAC):
Distance from LEMAC = EWCG - LEMAC
Now we can plug in the numbers:
Distance from LEMAC = 890" - 856.8" = 33.2"
Next, divide this distance by the MAC and multiply by 100 to get the percentage:
EWCG% of MAC = (33.2" / 1208") * 100% EWCG% of MAC = 2.75%
The EWCG expressed in terms of MAC is 2.75% of the MAC.
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