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Calculate the center of gravity (CG) location of a loaded aeroplane in Mean Aerodynamic Chord (MAC) percentage.
Physics
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Step-by-step solution
5 stepsTo find the center of gravity (CG) location of the loaded aeroplane in MAC%, we need to calculate the total mass, total moment, the overall CG in inches, and then convert it to a percentage of the Mean Aerodynamic Chord (MAC).
Calculate the moment for each component.
The moment is calculated as mass multiplied by its arm (station).
- Basic Empty Mass (BEM) moment:
- Pilot's mass moment:
- Fuel mass moment:
Calculate the total mass of the loaded aeroplane.
Calculate the total moment of the loaded aeroplane.
Calculate the overall Center of Gravity (CG) in inches.
Convert the CG location to a percentage of MAC.
The 0% MAC is at station 80 inches, and the length of the MAC is 60 inches.
\text{CG}_{\%MAC} = \frac{\text{CG}_{\text{inches}} - \text{Station of 0% MAC}}{\text{Length of MAC}} \times 100\%Comparing this to the given options, the closest answer is D.
The final answer is
\text{D) 27.2% MAC}.
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