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Refer to figure.
Determine the Centre of Gravity (CG) at the Landing Mass, given:

Basic Empty Mass: 3210 lb
Pilot and front passenger: 380 lb
Passengers (centre seats): 330 lb
Baggage zone 1: 100 lb
Baggage zone 4: 100 lb
Fuel loading: 85 US gal
Fuel allowance for start-up and taxi: 4 US gal
Estimated fuel burn-off: 60 US gal
Fuel density: 6 lb/US gal

  • A

    91.3 cm

  • B

    93.1 in

  • C

    89.6 in

  • D

    91.3 in

Refer to figure.
Note: With these calculations questions, always be careful to verify the units, in this case inches and not cm.

For this question, a fine technique would be to take it in 2 steps:

  • Step one - calculate the Landing Mass
  • Step two - calculate the moments to finally arrive at the Landing CG. There is no need to waste time on calculating the Ramp, Take-off or Zero Fuel lines.

STEP ONE: The fuel at landing will equal the fuel loading minus fuel allowance for start-up and taxi, minus estimated fuel burn-off:

  • Fuel loading (lb) = 85 US Gal x 6 lb/US gal = 510 lb
  • Fuel allowance for start-up and taxi (lb) = 4 US gal x 6 lb/US gal = 24 lb
  • Estimated fuel burn-off (lb) = 60 US gal x 6 lb/US gal = 360 lb

Fuel at landing (lb) = 510 lb - 24 lb - 360 lb = 126 lb

  • Landing Mass (LM) = BEM + Pilot and front passenger + Passengers + Baggage Zone 1 + Baggage Zone 4 + Fuel at landing
  • Landing Mass (LM) = 3210 lb + 380 lb + 330 lb + 100 lb + 100 lb + 126 lb = 4246 lb

STEP TWO: Using the attached trim sheet, work out the relevant moments by multiplying the mass by the arm.

  • Mass x Arm = Moments.

When completed down to the Landing Mass, then divide the total moments by the landing mass.

Be careful that the moments for both the taxi and trip fuel are negative as the mass is being removed as the fuel is burned off.

  • Landing Moments / Landing Mass = Landing CG

See the attached figure for confirmation of the calculations.

Your Notes (not visible to others)



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