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Is it allowed to fly under otherwise identical conditions if a pilot is weighing 10 kg more as given? Assume that the datum is located in front of the aircraft.

Item Mass (kg) Distance aft of the datum (m)
Empty Mass 1 050 3.2
Pilot and Copilot or Front PAX 140 1.44
Rear PAX 220 2.29
Cargo (PAX floor) - 2.31
Cargo (PAX foot rest) - 1.70
Hold - 3.04
Fuel (Mean centering) 276 3.12
(Forward limit: 2.80 m aft of datum; aft limit: 3.15 m aft of datum)
  • A
    Yes, the new centre of gravity is now located more forward within the allowable range.
  • B
    Yes, the new centre of gravity is now located 5 cm forward of the aft limit, within the allowable range.
  • C
    Yes, the increased mass can only have a positive effect.
  • D
    No, the new centre of gravity is now located 1 cm aft of the aft limit, thus outside the allowable range.
Center of gravity = Total moment / total mass

(1) Calculate the planned Total Moment and Centre of Gravity:

ITEM MASS (kg) Distance aft of the datum (m) Moment (m x kg)
Empty mass 1050 3.2 1050 x 3.2 = 3360
Pilot and Copilot or front PAX 140 1.44 140 x 1.44 = 201.6
Rear PAX 220 2.29 220 x 2.29 = 503.8
Cargo (PAX floor) - 2.31
Cargo (PAX foot rest) - 1.70
Hold - 3.04
Fuel (Mean centering) 276 3.12 276 x 3.12 = 861.1
Total Mass: 1686 Total Moment: 4926.52
  • Centre of gravity = Total moment / total mass
    Centre of gravity = 4926.52 / 1686
    Centre of gravity = 2.92 m

(1) Calculate the Total Moment and Centre of Gravity if the pilot weighs 10 kg more:

ITEM MASS (kg) Distance aft of the datum (m) Moment (m x kg)
Empty mass 1050 3.2 1050 x 3.2 = 3360
Pilot and Copilot or front PAX 150 1.44 150 x 1.44 = 216
Rear PAX 220 2.29 220 x 2.29 = 503.8
Cargo (PAX floor) - 2.31
Cargo (PAX foot rest) - 1.70
Hold - 3.04
Fuel (Mean centering) 276 3.12 276 x 3.12 = 861.1
Total Mass: 1696 Total Moment: 4940.9
  • Centre of gravity = Total moment / total mass
    Centre of gravity = 4940.9 / 1696
    Centre of gravity = 2.91 m

=> Forward limit: 2.80 m aft of datum; aft limit: 3.15 m aft of datum => therefore at 2.91, we are still within the allowable range
Compared to the planned CG (2.92 aft of datum), the new CG (2.91 aft of datum) is located 1 cm forward.

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