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An aircraft carrying wild animals, has four small cargo bays available for an animal cage. In favor of a wildlife operation, a caged wild animal of 144.75 kg has to be transported. Before loading the wild animal, the aircraft had initially a Take-off Mass of 6224.25 kg and a CG positioned 9.8 m aft of the datum. So as to displace the CG 9.9 m aft of datum, at which cargo bay must the animal be loaded?
  • A
    14.2 m
  • B
    15.1 m
  • C
    12.4 m
  • D

    4.3 m

The following formulae help to find out in which cargo bay the animal has to be loaded so as to displace the CG by 0.1 m (9.9 m - 9.8 m) more aft of the datum:

  • Mass Change / Old Total Mass = Change of CG / Distance between new mass and new CG

Solving for Distance between new mass and new CG, we get: Distance between new mass and new CG = Old Total Mass x Change of CG / Mass Change = 6224.25 kg x 0.1 m / 144.75 kg = 4.3 m .

Thus, the animal must loaded at a cargo bay: New CG + Distance between new mass and new CG = 9.9 m + 4.3 m = 14.2 m aft of the datum.

OR

  • Mass Change / New Total Mass = Change of CG / Distance between new mass and old CG

Solving for Distance between new mass and old CG, we get: Distance between new mass and old CG = New Total Mass x Change of CG / Mass Change = (6224.25 kg + 144.75 kg) x 0.1 m / 144.75 kg = 4.4 m.

Thus, the animal must loaded at a cargo bay: Old CG + Distance between new mass and Old CG = 9.8 m + 4.4 m = 14.2 m aft of the datum.

Note: This question has also been reported as a type in question for the UK CAA.

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