Weight and Balance — FAA A&P Test Questions (ACS AM.I.C)
Weight and Balance is the one General subject area that is almost purely arithmetic, and it is also the one most candidates can fix in an afternoon. Nearly every question resolves to three relationships: moment equals weight times arm, center of gravity equals total moment divided by total weight, and useful load equals maximum allowable weight minus empty weight. Around those sit definitions you have to know exactly, including datum, arm, tare weight, ballast and empty weight. The FAA tests the definitions as hard as the math, and the math is arithmetic you can do on paper if you set it up correctly.
Written by the AMTprep editorial team · Published · Last reviewed
Written against the FAA primary sources cited at the foot of this page.
What ACS AM.I.C covers
The questions in this area split cleanly between computation and vocabulary, and both halves follow FAA-H-8083-30. On the computation side, expect to find a moment by multiplying a weight by its arm, to find a center of gravity by dividing a total moment by a total weight, and to say which way the CG shifts when equipment is added or removed at a stated location. A typical stem gives an aircraft weighing 4,000 pounds with a total moment of 600,000 inch-pounds and asks where the CG lies, which is a single division. Others ask what happens to the CG when an item is removed from a station aft of it, which needs no arithmetic at all if you know the direction rule. On the vocabulary side you need the terms used on an actual weighing sheet: the datum as the imaginary plane all arms are measured from, arms forward of the datum carrying a negative sign and arms aft a positive one, tare as the chocks, blocks and leveling gear that must be subtracted from each scale reading, net weight as what remains, empty weight, maximum allowable gross weight, useful load, and ballast added to bring a CG back inside limits. Practical procedure appears as well: leveling the aircraft, positioning and zeroing the scales, and recording the result in the aircraft's weight and balance records, which 14 CFR Part 43 ties to the maintenance record entry.
Where this sits on the test
ACS AM.I.C is tested on the FAA General written test, one of 1,553 ACS-tagged questions in the General bank. Every question tagged to this area carries a worked rationale and its FAA handbook reference, so you can drill the code itself rather than the whole test.
FAA handbook references
- FAA-H-8083-30
Three traps candidates fall into
- Arms measured forward of the datum are negative and arms aft of it are positive. Candidates who ignore the sign add every moment and get a CG that could not exist on the airframe. If your computed CG lands outside the physical aircraft, you almost certainly dropped a negative arm somewhere in the table.
- Tare is not part of the aircraft. It is everything on the scale that is not the aircraft, meaning chocks, blocks, jacks and leveling gear, and it is subtracted from each scale reading before anything else happens. Candidates treat the scale reading and the net weight as the same number and carry that error through every later step.
- Removing weight aft of the CG moves the CG forward, and removing weight forward of the CG moves it aft. Candidates memorize the phrase remove weight, CG moves forward with no reference to location, then miss the half of the questions where the item came from ahead of the center of gravity.
43 free sample questions from ACS AM.I.C
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The center of gravity (CG) of an aircraft is best described as the point where the aircraft would
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Answer: balance if it were suspended
Why: The center of gravity is the point about which the nose-heavy and tail-heavy moments are exactly equal; it is the point at which the aircraft would balance if suspended. It is found by dividing total moment by total weight. The other options describe stall behavior and ground contact, which are unrelated to the definition of CG.· FAA-H-8083-30 — Weight and balance: center of gravity
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The moment of an item in a weight and balance computation is found by
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Answer: multiplying the weight by its arm
Why: Moment equals weight multiplied by arm, expressed in inch-pounds. This is the basic relationship used to build a weight and balance computation, where the total moment is divided by total weight to find the CG. Dividing or subtracting the values does not yield a valid moment and would produce incorrect balance results.· FAA-H-8083-30 — Weight and balance: moment, weight, and arm
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An aircraft has a total weight of 4,000 pounds and a total moment of 600,000 inch-pounds. The center of gravity is located at
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Answer: 150 inches from the datum
Why: The CG is found by dividing total moment by total weight: 600,000 ÷ 4,000 = 150 inches from the datum. The other answers result from incorrect arithmetic, such as using the wrong divisor, and do not satisfy the moment-divided-by-weight relationship.· FAA-H-8083-30 — Weight and balance: CG computation
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Useful load is determined by
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Answer: subtracting the empty weight from the maximum allowable weight
Why: Useful load is the difference between maximum allowable (gross) weight and empty weight; it represents the crew, payload, and usable fuel the aircraft can carry. Reversing the subtraction yields a negative value and adding the two weights together produces a meaningless total, so those distractors are incorrect.· FAA-H-8083-30 — Weight and balance: useful load
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An arm measured forward of the datum is given which sign in weight and balance computations?
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Answer: Negative
Why: By convention, arms measured aft of the datum are positive and arms measured forward of the datum are negative. Correctly applying these signs is essential so the resulting moments add and subtract properly. Assigning a positive or zero value to a forward arm would corrupt the moment calculation.· FAA-H-8083-30 — Weight and balance: arm sign convention
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Ballast is added to an aircraft primarily to
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Answer: bring the center of gravity within allowable limits
Why: Ballast is weight added to move the CG into the allowable range, most often when the CG falls outside limits after loading or a modification. It does not raise the certificated maximum gross weight and, since it adds weight, it cannot reduce empty weight, making those distractors incorrect.· FAA-H-8083-30 — Weight and balance: ballast
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When weighing an aircraft, the weight registered on the scales minus the weight of chocks, blocks, and other items used to level the aircraft is called the
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Answer: net weight at each weighing point
Why: The net weight at each weighing point is the scale reading minus the tare, where tare is the weight of chocks, blocks, and similar items on the scale. Tare itself is what is subtracted, not the resulting value, and useful load is an entirely different quantity unrelated to scale tare.· FAA-H-8083-30 — Weight and balance: weighing and tare
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If a piece of equipment is removed from a location aft of the CG, the center of gravity of the aircraft will
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Answer: move forward
Why: Removing weight from behind the CG reduces the tail-heavy moment, so the CG shifts toward the lighter end, which is forward. The CG always moves away from weight that is removed and toward weight that is added. It cannot move aft or stay the same when a tail-located item is taken out.· FAA-H-8083-30 — Weight and balance: weight change effect on CG
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The center of gravity range of an aircraft is best described as the
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Answer: distance between the forward and aft CG limits
Why: The CG range is the distance between the most forward and most aft allowable CG limits, within which the loaded CG must fall for safe operation. The distance from the datum to the wing is unrelated, and the difference between empty and gross weight defines useful load, not the CG range.· FAA-H-8083-30 — Weight and balance: CG range and limits
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Two weights are installed aft of an aircraft's center of gravity: a 10-pound weight 40 inches aft and a 5-pound weight 20 inches aft. How far forward of the center of gravity must a 20-pound weight be placed to balance the aircraft?
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Answer: 25 inches.
Why: Moment equals weight times arm. The two aft weights create a moment of (10 lb x 40 in) + (5 lb x 20 in) = 500 in-lb aft. To balance, the 20-pound weight must produce an equal opposing moment forward: 500 in-lb divided by 20 lb = 25 inches forward of the center of gravity.· FAA-H-8083-30 — Weight and Balance
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Two items weighing 11 pounds and 8 pounds are placed 2 inches and 1 inch, respectively, aft of the center of gravity of an aircraft. How far forward of the center of gravity must a 30-pound weight be placed so the center of gravity is not changed?
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Answer: 1 inch.
Why: To keep the center of gravity unchanged, the forward moment must equal the total aft moment. The aft moment is (11 × 2) + (8 × 1) = 30 inch-pounds. The 30-pound weight must produce the same moment forward, so 30 × d = 30, giving d = 1 inch.· FAA-H-8083-30 — Weight and Balance
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The single point at which the total weight of a body is considered to act is the
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Answer: center of gravity.
Why: The center of gravity is the single point at which the entire weight (total gravitational force) of a body can be considered to act; supporting the body there produces balance. A fulcrum is a pivot point, not the location where the body's weight acts.· FAA-H-8083-30 — Weight and Balance
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On an aircraft, the reference edge, line, or plane from which all longitudinal dimensions are measured is called the
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Answer: datum.
Why: The datum is the reference edge, line, or plane from which all longitudinal (fore-and-aft) station dimensions are measured. Water lines and butt lines are themselves located relative to a reference and describe vertical and lateral positions, not the origin reference itself.· FAA-H-8083-30 — Weight and Balance
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On an aircraft station diagram, water lines are used to locate points by their
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Answer: vertical height measured above a horizontal reference.
Why: Water lines are horizontal reference planes used to locate points by their vertical height above a chosen reference. Fore-and-aft positions are given by fuselage stations, and left/right positions by buttock (butt) lines, so the vertical reference is the water line.· FAA-H-8083-30 — Weight and Balance
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Who is responsible for ensuring that the weighing equipment used for an aircraft weight and balance check is serviceable and in calibration before use?
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Answer: The person carrying out the weight and balance procedure.
Why: Responsibility for confirming that the weighing equipment is serviceable and in calibration rests with the person performing the weight and balance task, because that person certifies the result. They cannot rely on the equipment manufacturer or a separate technician to assure the equipment at the point of use.· FAA-H-8083-30 — Weight and Balance
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How often should aircraft weighing scales be calibrated?
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Answer: On a periodic basis, generally once a year.
Why: Weighing equipment used for aircraft weight and balance must be calibrated on a routine periodic basis, typically once a year, so its accuracy remains traceable and within tolerance. A full calibration before every weighing is impractical, and assuming scales never need calibration would invalidate the recorded weights.· FAA-H-8083-30 — Weight and Balance
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What is the term for the weight of an aircraft that includes the airframe, powerplant, required equipment, all permanently installed equipment, unusable fuel, and full operating fluids (including engine oil), but excludes usable fuel, crew, and payload?
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Answer: Empty weight
Why: Per FAA-H-8083-1B, (basic) empty weight is the weight of the airframe, engine(s), all permanently installed equipment, unusable fuel, and full operating fluids including full engine oil. It excludes usable fuel, crew, and payload. Useful load is the difference between maximum weight and empty weight, and maximum zero-fuel weight is a limit on the loaded weight without usable fuel.· FAA-H-8083-1 — Weight and Balance
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The center of gravity (CG) of an aircraft is defined as the point about which
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Answer: the aircraft would balance if suspended
Why: FAA-H-8083-1 defines the center of gravity as the point at which an aircraft would balance if it were possible to suspend it at that point; it is the imaginary point where all the weight is considered to be concentrated.· FAA-H-8083-1 — Weight and Balance
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The horizontal distance from the reference datum to the center of gravity of an item is known as the item's
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Answer: arm
Why: FAA-H-8083-1 defines the arm as the horizontal distance, in inches, from the reference datum line to the center of gravity of an item.· FAA-H-8083-1 — Weight and Balance
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The center of gravity of a loaded aircraft is determined by
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Answer: dividing the total moment by the total weight
Why: FAA-H-8083-1 states that the CG location is found by dividing the total moment by the total weight of the aircraft. The result is the distance, in inches, of the CG from the datum.· FAA-H-8083-1 — Weight and Balance
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From which point are all weight and balance arms and CG locations measured?
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Answer: The reference datum
Why: Per FAA-H-8083-1, the reference datum is an imaginary vertical plane or line from which all horizontal measurements (arms) are taken with the aircraft in level flight attitude. The manufacturer establishes its location.· FAA-H-8083-1 — Weight and Balance
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Who establishes the location of the reference datum for a particular aircraft?
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Answer: The aircraft manufacturer
Why: FAA-H-8083-1 states that the reference datum is established by the aircraft manufacturer. It may be located at the nose, the firewall, the leading edge of the wing, or some other convenient location, and is identified in the aircraft specifications or Type Certificate Data Sheet.· FAA-H-8083-1 — Weight and Balance
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The useful load of an aircraft is determined by
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Answer: subtracting the empty weight from the maximum gross weight
Why: Per FAA-H-8083-1, useful load is found by subtracting the empty weight from the maximum allowable gross weight. It includes the pilot, passengers, usable fuel, oil, and cargo.· FAA-H-8083-1 — Weight and Balance
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When an aircraft is weighed to determine its empty weight, which fuel is normally drained from the aircraft?
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Answer: Usable fuel
Why: Per FAA-H-8083-1B, all usable fuel is normally drained before the aircraft is weighed for empty weight. The residual (unusable) fuel stays in the system and is part of the empty weight, so it is not drained. If the fuel cannot be drained, its weight must be subtracted from the scale readings.· FAA-H-8083-1 — Weight and Balance
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The empty weight center of gravity (EWCG) of an aircraft weighed on three scales is found by dividing the
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Answer: total moment by the total weight
Why: Per FAA-H-8083-1, after recording each scale's weight and computing each moment about the datum, the EWCG is found by dividing the total moment (sum of all scale moments) by the total weight (sum of all scale readings, corrected for tare).· FAA-H-8083-1 — Weight and Balance
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An aircraft is loaded so that its center of gravity is forward of the forward CG limit. The most likely effect on the aircraft is that it will be
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Answer: nose-heavy and difficult to rotate or flare
Why: Per FAA-H-8083-1, a forward CG makes an aircraft nose-heavy and more stable but harder to rotate and control. An excessively forward CG can make the aircraft difficult or impossible to flare for landing and can exceed elevator authority.· FAA-H-8083-1 — Weight and Balance
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An aircraft loaded so that its center of gravity is aft of the rearward limit will most likely be
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Answer: tail-heavy with reduced longitudinal stability
Why: FAA-H-8083-1 states that an aft CG decreases longitudinal stability and makes the aircraft tail-heavy. An excessively aft CG can lead to stall and spin recovery difficulties and reduced controllability.· FAA-H-8083-1 — Weight and Balance
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The maximum weight of an aircraft, fully loaded and ready for flight, that is approved for operation is called the
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Answer: maximum gross weight
Why: Per FAA-H-8083-1, maximum (allowable) gross weight is the maximum authorized weight of the aircraft and its contents as listed in the specifications or Type Certificate Data Sheet.· FAA-H-8083-1 — Weight and Balance
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When weight is added to or removed from an aircraft, the change in the location of the CG can be computed by dividing the
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Answer: change in moment by the new total weight
Why: FAA-H-8083-1 gives the weight-shift/addition formula: the change in CG (ΔCG) equals the change in moment divided by the new total weight. When weight is added or removed, the CG shift is the added (or removed) moment divided by the new gross weight.· FAA-H-8083-1 — Weight and Balance
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When the position of the center of gravity is expressed as a percentage of the mean aerodynamic chord (MAC), 0 percent MAC represents the
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Answer: leading edge of the mean aerodynamic chord
Why: Per FAA-H-8083-1, when CG is expressed in percent MAC, the leading edge of the MAC (LEMAC) is 0 percent and the trailing edge (TEMAC) is 100 percent. The CG location is computed relative to the leading edge of the MAC.· FAA-H-8083-1 — Weight and Balance
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An aircraft has an empty weight of 1,800 pounds and a maximum gross weight of 2,500 pounds. What is the useful load?
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Answer: 700 pounds
Why: Per FAA-H-8083-1, useful load = maximum gross weight − empty weight. 2,500 − 1,800 = 700 pounds.· FAA-H-8083-1 — Weight and Balance
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A 50-pound radio is installed at station +30 (30 inches aft of the datum). What is the moment of this installation about the datum?
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Answer: 1,500 inch-pounds
Why: Per FAA-H-8083-1, moment = weight × arm. 50 lb × 30 in = 1,500 in-lb. Because the item is aft of the datum, the moment is positive (+1,500 in-lb).· FAA-H-8083-1 — Weight and Balance
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If a weight is added at a station forward of the reference datum, its moment is considered to be
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Answer: negative
Why: Per FAA-H-8083-1, arms and moments measured forward of the datum are negative, and those aft of the datum are positive. A weight installed forward of the datum therefore produces a negative moment.· FAA-H-8083-1 — Weight and Balance
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An aircraft's empty weight and empty weight CG must be recomputed and the records revised when
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Answer: equipment is added, removed, or relocated
Why: Per FAA-H-8083-1, whenever equipment is added, removed, or relocated such that the empty weight or empty weight CG changes, the technician must revise the weight and balance records to reflect the new condition.· FAA-H-8083-1 — Weight and Balance
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The arm of an item is measured in
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Answer: inches
Why: Per FAA-H-8083-1, the arm is the horizontal distance, measured in inches, from the reference datum to the center of gravity of the item.· FAA-H-8083-1 — Weight and Balance
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Improper loading that places an aircraft outside its CG limits primarily affects the aircraft's
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Answer: stability and controllability
Why: FAA-H-8083-1 emphasizes that loading an aircraft outside its CG limits adversely affects stability and controllability, which can make the aircraft dangerous or impossible to control.· FAA-H-8083-1 — Weight and Balance
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What is the primary purpose of leveling an aircraft before weighing it?
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Answer: To ensure accurate horizontal arm measurements
Why: Per FAA-H-8083-1, the aircraft must be level both longitudinally and laterally during weighing so that the measured arms (horizontal distances from the datum to each weighing point) are accurate. An out-of-level condition introduces error into the arm measurements.· FAA-H-8083-1 — Weight and Balance
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When computing the weight and balance of an aircraft, the total weight multiplied by the CG distance from the datum equals the
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Answer: total moment
Why: Per FAA-H-8083-1, moment equals weight times arm; therefore the total weight multiplied by the CG distance (the total arm) equals the total moment of the loaded aircraft.· FAA-H-8083-1 — Weight and Balance
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After an aircraft is weighed and the empty weight CG determined, the technician must
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Answer: record the results in the aircraft weight and balance records
Why: FAA-H-8083-1 requires that the results of weighing and the empty weight CG computation be recorded in the aircraft weight and balance records, including the date, empty weight, empty weight CG, and useful load.· FAA-H-8083-1 — Weight and Balance
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The center of gravity of an empty aircraft, with only residual fluids and permanently installed equipment, is referred to as the
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Answer: empty weight center of gravity
Why: Per FAA-H-8083-1, the empty weight center of gravity (EWCG) is the CG of the aircraft in its empty weight condition, used as the baseline for all subsequent loading computations.· FAA-H-8083-1 — Weight and Balance
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An aircraft with a total weight of 2,000 pounds and a total moment of 170,000 inch-pounds has a center of gravity located at
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Answer: 85 inches aft of the datum
Why: Per FAA-H-8083-1, CG = total moment ÷ total weight. 170,000 in-lb ÷ 2,000 lb = 85 inches aft of the datum.· FAA-H-8083-1 — Weight and Balance
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Which document must a mechanic ensure remains current and accurate when equipment changes affect an aircraft's weight and balance?
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Answer: The aircraft weight and balance record
Why: Per FAA-H-8083-1, the aircraft's weight and balance record (the equipment list and empty weight CG record) must be kept current whenever equipment is changed so the aircraft can be loaded within its approved limits.· FAA-H-8083-1 — Weight and Balance
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Adverse-loaded CG checks are performed to verify that an aircraft remains within its CG limits under the
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Answer: most extreme forward and aft loading conditions
Why: Per FAA-H-8083-1, adverse-loaded CG checks determine whether the aircraft stays within limits under the most extreme (most forward and most aft) practical loading conditions. The forward check loads weight forward and the aft check loads weight aft to confirm CG stays within limits.· FAA-H-8083-1 — Weight and Balance
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Frequently asked questions
- How do you calculate the center of gravity of an aircraft?
- Add every weight to get the total weight, multiply each weight by its arm to get its moment, add the moments to get the total moment, then divide the total moment by the total weight. The answer is a distance from the datum in inches. An aircraft at 4,000 pounds with a 600,000 inch-pound total moment has its CG 150 inches aft of the datum.
- What is the difference between useful load and payload?
- Useful load is the maximum allowable weight minus the empty weight, so it is everything you are permitted to add: usable fuel, crew, passengers, cargo and any drainable fluids not counted in the empty weight. Payload is the part of the useful load left for people and cargo once the fuel is aboard. Written questions usually ask for useful load, which is a single subtraction.
- Where is the datum located on an aircraft?
- Wherever the manufacturer put it. The datum is an imaginary vertical plane chosen by the manufacturer and published in the type certificate data sheet and the aircraft's weight and balance records. It may sit at the nose, at the firewall, or some distance ahead of the aircraft entirely. Its position is arbitrary; what matters is that every arm on that aircraft is measured from the same plane.
- Can I use a calculator on the weight and balance questions?
- Testing centers generally allow a simple non-programmable calculator, and the proctor may inspect it and require the memory to be cleared before you start, so confirm the current policy with your center before test day. The numbers in these questions are chosen to divide cleanly anyway, and knowing the setup matters far more than the arithmetic itself.
All 40 ACS areas
General
- Fundamentals of Electricity and Electronics
- Aircraft Drawings
- Weight and Balance
- Fluid Lines and Fittings
- Aircraft Materials, Hardware, and Processes
- Ground Operations and Servicing
- Cleaning and Corrosion Control
- Mathematics
- Regulations, Maintenance Forms, Records, and Publications
- Physics for Aviation
- Inspection Concepts and Techniques
- Human Factors
Airframe
- Metallic Structures
- Non-Metallic Structures
- Flight Controls
- Airframe Inspection
- Landing Gear Systems
- Hydraulic and Pneumatic Systems
- Environmental Systems
- Aircraft Instrument Systems
- Communications, Light Signals, and Runway Lighting Systems
- Aircraft Fuel Systems
- Aircraft Electrical Systems
- Ice and Rain Control Systems
- Airframe Fire Protection Systems
- Rotorcraft Fundamentals
- Water and Waste Systems
Powerplant
- Reciprocating Engines
- Turbine Engines
- Engine Inspection
- Engine Instrument Systems
- Engine Fire Protection Systems
- Engine Electrical Systems
- Engine Lubrication Systems
- Ignition and Starting Systems
- Engine Fuel and Fuel Metering Systems
- Reciprocating Engine Induction and Cooling Systems
- Turbine Engine Air Systems
- Engine Exhaust and Reverser Systems
- Propellers
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