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Given the following information, calculate the centre of gravity of a jet as %MAC...

MAC Leading edge: 13.21 m aft of datum
MAC Trailing edge: 15.63 m aft of datum

Weighing of aircraft:
Tail jack: 3345.25 kg
Right main wheel: 19 720.57 kg
Left main wheel: 19 730.69 kg

Locations:
Center of gravity: 13.65 m aft of datum
Tail jack: 21.34 m aft of datum
Nose jack: 4.22 m aft of datum
Main wheels: 16.98 m aft of datum

  • A

    Not enough data to calculate the CG position.

  • B
    112.5% MAC (CG is behind MAC).
  • C

    18.2% MAC.

  • D

    43% MAC.

MAC Leading edge: 13.21 m aft of datum
MAC Trailing edge: 15.63 m aft of datum

⇒ MAC length = 15.63 m - 13.21 m = 2.42 m

Center of gravity: 13.65 m aft of datum

⇒ CG is 0.44 m aft of MAC LE (13.65 m - 13.21 m)

CG position % relative to MAC = (CG distance from LE / MAC length) x 100
CG position % relative to MAC = (0.44 / 2.42) x 100 = 18.2%

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