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Given the following data, where is the CG located after landing?

Take-off mass: 2300 lb
Calculated CG: 95.75 in
Fuel burn: 170 lbs on station 87.00 in

  • A

    97.39 in

  • B

    96.45 in

  • C

    94.11 in

  • D

    96.57 in

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

  • Mass change: 170 lb
  • New total mass: 2300 lb - 170 lb = 2130 lb
  • Change of CG: ?
  • Distance from mass to old CG: 95.75 in - 87 in = 8.75 in

170 lb / 2130 lb = Change of CG / 8.75 in
Change of CG = 170 / 2130 x 8.75 = 0.7 in

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

New CG position = Old CG position + Change of CG = 95.75 in + 0.7 in = 96.45 in

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