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Refer to figure.
What is the location of the center of gravity (including fuel)?

  • A

    37.1 cm

  • B

    0.401 m

  • C

    37.3 cm

  • D

    0.403 m

Refer to figure.
In order to find the center of gravity (CG):

1. Calculate total mass
Fuel volume (l) should be converted into fuel mass (kg) using specific gravity 0.72 kg/l.

  • Mass (kg) = Volume (l) x Specific Gravity = 60 l x 0.72 kg/l = 43.2 kg

Total mass = BEM + Pilot and passenger mass + Baggage mass + Fuel mass = 560 kg + 150 kg + 15 kg + 43.2 kg = 768.2 kg

2. Calculate total moment

  • Moment = Mass x Balance Arm

Individual moments:

  • BEM moment = 560 kg x 0.35 m = 196 kg.m
  • Pilot and passenger moment = 150 kg x 0.4 m = 60 kg.m
  • Baggage moment = 15 kg x 0.65 m = 9.75 kg.m
  • Fuel moment = 43.2 kg x 0.45 m = 19.44 kg.m

Total moment = 196 kg.m + 60 kg.m + 9.75 kg.m + 19.44 kg.m = 285.19 kg.m

3. Calculate the CG

  • CG = Total Moment / Total Mass

CG = 285.19 kg.m / 768.2 kg = 0.371 m = 37.1 cm

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  • Austro Control