Refer to Annex-031-014.
An aeroplane, whose specific data is shown in the annex, has a planned take-off mass of 200 000 kg, with its centre of gravity (C.G.) is located at 15.38 m rearward of the reference point, representing a C.G. location at 30% MAC (Mean Aerodynamic Cord). For performance purposes, the captain decides to reset the value of the centre of gravity location to 35% MAC.
The front and rear cargo compartments are located at a distance of 15 m and 25 m from the reference point respectively, the cargo load mass which needs to be transferred from the front to the rear cargo compartment is:
Distance between holds = 10m
The length of the MAC = 4.6m
CG change = 5% x 4.6m = 0.23m
Now use the formula:
Change in Mass / Total Mass = Change in CG / Total Distance Moved
Transpose formula:
Change in Mass = (Change in CG x Total Mass) / Total Distance Moved
Change in Mass = (0.23 x 200000) / 10
Change in Mass = 4600 kg
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