The JAA
ATPL Mass and Balance
test bank contains questions pertaining to
031-03-02 Calculation of CG
. The following list contains only a relatively small percentage of the pertinent
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Mass and Balance
test bank.
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| Sample Questions
from the JAA ATPL
Mass and Balance
Test Bank |
- The mass and balance information gives:Basic mass: 1 200 kgBasic balance arm: 3.00 mUnder these conditions the Basic centre of gravity is at 25% of the mean aerodynamic chord (MAC). The length of MAC is 2m. In the mass and balance section of the flight manual the following information is given:Position Arm front seats: 2.5 mPosition Arm rear seats: 3.5 mPosition Arm rear hold: 4.5 mPosition Arm fuel tanks: 3.0 mThe pilot and one passenger embark; each weighs 80 kg. Fuel tanks contain 140 litres of petrol with a density of 0.714. The rear seats are not occupied. Taxi fuel is negligible.The position of the centre of gravity at take-off (as % MAC) is:
- The planned take-off mass of a turbojet aeroplane is 190 000 kg, with its centre of gravity located at 29 % MAC (Mean Aerodynamic Cord). Shortly prior to engine start, the local staff informs the flight crew that 4 000 kg must be unloaded from cargo 4 (23.89 m aft of the reference point).Given:Distance from reference point to leading edge: 14 mLength of MAC = 4.6 m.After the handling operation, the new centre of gravity location in % MAC will be:
- (Refer to figure L-302)Just prior to departure, you accept 10 passengers additional on board who will be seated in compartment OC and you have 750 kg unloaded from cargo compartment 5.The take-off centre of gravity in MAC % (Mean Aerodynamic Chord) will be located at:
- (Refer to CAP696 figure 4-3)What moment change occurs when the flaps are fully retracted from the 15 degree position?
- (For this Question use CAP 696 - Figure 4.12)What is the Dry Operating Index?
- (Refer to CAP696 figures 4-1 & 4-4)The leading edge of the MAC is given as 625.6 inches aft of the datum. What is the distance of the CG from the datum if it is found to be 16% of the MAC?
- If the BEM is 1500 kg and the CG is at 25 % of a 1 m long MAC, what must be done to move the CG to 40 % MAC?
- The total mass of an aeroplane is 9000 kg. The centre of gravity (cg) position is at 2.0 m from the datum line.The aft limit for cg is at 2.1 m from the datum line. What mass of cargo must be shifted from the front cargo hold (at 0.8 m from the datum) to the aft hold (at 3.8 m), to move the cg to the aft limit?
- An aircraft has a mass of 7900 kg and the CG is located at 81.2 in aft of the datum. If a package of mass 250 kg was loaded in a hold situated 32 in aft of the datum, what would the new CG position be?
- A mass of 16 kg is added at an arm of +3 ft from the CG of an object that has a mass of 97 kg. What effect will this have on the original CG?
- Give the distance of the CG from the datum for an aircraft where the CG is 23% MAC. The MAC is 90” and LEMAC is located 321" aft of the datum.
- An aircraft has three holds situated 10 in 100 in and 250 in aft of the datum, identified as holds A, B and C respectively. The total aircraft mass is 3500 kg and the CG is 70 in aft of the datum. The CG limits are from 40 in to 70 in aft of the datum. How much load must be removed from hold C to ensure that the CG is positioned on the forward limit?
- The CG limits of an aircraft are from 83 inches to 93 inches aft of the datum. The CG as loaded is bound to be at 81 inches aft of the datum. The loaded mass is 3240 lb. How much mass must be moved from the forward hold, 25 inches aft of the datum, to the aft hold, 142 inches aft of the datum, to bring the CG onto the forward limit?
- An aeroplane has a planned take-off mass of 200 000 kg, with its centre of gravity (C.G.) 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.Distance from reference point to leading edge = 14 m. Length of MAC = 4.6 m. 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:
- The planned take-off mass of an aeroplane is 190 000 kg, with its centre of gravity located at 29 % MAC (Mean Aerodynamic Cord). Distance from reference point to leading edge = 14 m. Length of MAC = 4.6 m.Shortly prior to engine start, the local staff informs the flight crew that an additional load of 4 000 kg must be loaded in cargo 4 (located at 24.26 m aft of the reference point). After loading this cargo, the new centre of gravity location will be:
- An aeroplane has a mean aerodynamic chord (MAC) of 134.5 inches. The leading edge of this chord is at a distance of 625.6 inches aft of the datum. Give the location of the centre of gravity of the aeroplane in terms of percentage MAC if the mass of the aeroplane is acting vertically through a balance arm located 650 inches aft of the datum.
- (Refer to CAP696 figure 3-3)The CG when the TOM is 4,300 lb and the corresponding moment is 408,500 lb in is :
- An aeroplane is loaded as follows:Mass ‘ A’ of 200 lbs at an Arm of 14 in. aft of the nose datum.Mass ‘ B’ of 160 lbs at an Arm of 80 in. aft of the nose datum.Mass ‘ C’ of 125 lbs at an Arm of 175 in. aft of the nose datum.Using the above information the CG would be located at:
- (Refer to CAP696 figure 4-4)With reference to the attached chart, the distance of the leading edge of the MAC from the datum is:
- An aircraft of mass 62,500 kg has the leading and trailing edges of the MAC at body stations +16 and +19.5 respectively (stations are measured in metres). What is the arm of the CG if the CG is at 30% MAC?
- If the CG position is 30m aft of the datum after 3 000 kg was added to a hold 50m aft of the datum and the original weight was 24 000 kg, the original CG arm was:
- Given that the total mass of an aeroplane is 112 000 kg with a centre of gravity position at 22.62m aft of the datum. The centre of gravity limits are between 18m and 22m. How much mass must be removed from the rear hold (30 m aft of the datum) to move the centre of gravity to the middle of the limits:
- Assume:Aeroplane gross mass: 4750 kgCentre of gravity at station: 115.8What will be the new position of the centre of gravity if 100 kg is moved from the station 30 to station 120?
- (Refer to figure L-303)The weight and balance sheet is available and contrary to the forecast, cargo compartment 1 is empty.The zero fuel weight centre of gravity in MAC % (Mean Aerodynamic Chord) is located at:
- An aircraft of mass 17,400 kg, has its CG at station 122.2. The CG limits are 118 to 122. How much cargo must be moved from the rear hold at station 162 to the forward hold at station -100 (forward of the datum) to bring the CG to the mid position of its range?
- The loaded mass of an aircraft is 12,400 kg. The aft CG limit is 102 inches aft of the datum. If the CG as loaded is 104.5 inches aft of the datum, how many rows forward must two passengers move from the rear seat row (224 inches aft) to bring the CG on to the aft limit, if the seat pitch is 33 inches? Assume a passenger mass of 75 kg each.
- If the C.G. position is 21% MAC, the MAC is 73 inches, and the C.G. datum is 26 inches aft of the leading edge of the MAC, what is the C.G. position relative to the datum?
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