The loading of an aircraft uses the following data given below. If 250 kg of cargo is repositioned to the station arm 8.21 m, which option is correct about the new take-off CG position?
Take-Off Mass: 17 800 kg
Cargo Mass: 420 kg (moment arm: 18.57 m)
Take-off CG position: 13.41 m
Forward CG limit: 13.28 m
Aft CG limit: 15.65 m
Details to clarify from the question:
- The 250 kg mass is being moved forward, from 18.57 m to 8.21 m.
- This will result in the current CG position of 13.41 m moving forward.
- The CG is currently in limits, but may move beyond the forward limit of 13.28 m.
- There are answers in metres, centimetres and millimetres - a typical EASA trap.
Step 1. Establish the parameters:
- m = mass to be moved (250 kg)
- M = total mass (17 800 kg)
- d = CG movement (?)
- D = relevant distance, between the station arms (distance between 8.21 m and 18.57 m = 10.36 m)
Step 2. Time for the formula:
- m/M = d/D
- 250/17 800 = ?/10.36
- d = 0.1455 m forward movement of the CG
By moving 250 kg, the CG is moved forward from 13.41 m by 0.1455 m to 13.2645 m.
The CG forward limit is 13.28 m.
The CG is now out of limits: 13.28 m - 13.2645 m = 15.5 mm (rounded up to 16 mm).
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