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DG DG-500M - C.G. Calculation

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DG Flugzeugbau GmbH
Flight manual DG-500M
6.9 C.G. calculation
The actual C.G. can be determined as follows:
For each item, the moment mass x C.G. has to be determined and to be
added up and divided by the total mass. See the following example:
1 kg = 2.2046 lbs = .264 US gal.water 0.305 m = 1 ft
Item mass C.G. behind moment
datum
kg m m kg
aircraft empty 530 0,70 371,0
Pilot front 75 - 1,35 - 101,25
rear 85 - 0,27 - 22,95
Waterballast
in the wings 40 0,243 9,72
fuel in fuse-
lage tank 20 0,409 8,18
Sum
750
XS=0,353
264,7
CG=moment/mass
The limits of the inflight C.G. 0.255 m - 0.48 m should not be exceeded!
The most important C.G. positions (behind datum):
Pilot:
The C.G. position is dependent on the pilots shape, mass and thickness of
the parachute. The pilot C.G. position can be determined by executing a
weight and balance measurement with glider empty and equipped with the
pilot etc. see maintenance manual. Please note, that the distance a has to be
measured with both configurations, as it may change due to deflection of the
landing gear.
The pilot C.G. can be determined by the following equation:
XP = (XSF MF - XSE ME)/MP
MF = flight mass XSF = flight C.G. MP = pilot mass
ME = empty mass XSE = empty C.G.
Issued: April 1997 6.8