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Given the following data, calculate the new CG location after landing:

Calculated take-off mass: 746 kg
Calculated CG: 37.1 cm
Fuel burn: 30.5 l on station 45 cm

  • A

    37.2 cm

  • B

    37.5 cm

  • C

    36.3 cm

  • D

    36.9 cm

CHANGE OF CG POSITION
Fuel volume (l) should be converted into fuel mass (lb) by using specific gravity 0.72 kg/l.

  • Mass (kg) = Volume (l) x Specific Gravity = 30.5 l x 0.72 kg/l = 21.96 kg

Mass change / New total mass = Change of CG / Distance from mass to old CG

  • Mass change: 21.96 kg
  • New total mass: 746 kg - 21.96 kg = 724.04 kg
  • Change of CG: ?
  • Distance from mass to old CG: 45 cm - 37.1 cm = 7.9 cm

21.96 kg / 724.04 kg = Change of CG / 7.9 cm
Change of CG = 21.96 kg / 724.04 kg x 7.9 cm = 0.24 cm

Since the fuel station is further away from the datum than the old CG location, the new position of CG will be shifted closer the datum and will be:

New CG position = Old CG position + Change of CG = 37.1 cm - 0.24 cm = 36.9 cm

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