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.

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 1,558 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

  1. 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.
  2. 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.
  3. 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.

7 free sample questions from ACS AM.I.C

  1. AM.I.CTap an answer

    The center of gravity (CG) of an aircraft is best described as the point where the aircraft would

  2. AM.I.CTap an answer

    The moment of an item in a weight and balance computation is found by

  3. AM.I.CTap an answer

    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

  4. AM.I.CTap an answer

    Useful load is determined by

  5. AM.I.CTap an answer

    An arm measured forward of the datum is given which sign in weight and balance computations?

  6. AM.I.CTap an answer

    Ballast is added to an aircraft primarily to

  7. AM.I.CTap an answer

    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

The center of gravity (CG) of an aircraft is best described as the point where the aircraft would

ACS code: AM.I.C

Correct answer: balance if it were suspended

Rationale: 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.

The moment of an item in a weight and balance computation is found by

ACS code: AM.I.C

Correct answer: multiplying the weight by its arm

Rationale: 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.

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

ACS code: AM.I.C

Correct answer: 150 inches from the datum

Rationale: 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.

Useful load is determined by

ACS code: AM.I.C

Correct answer: subtracting the empty weight from the maximum allowable weight

Rationale: 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.

An arm measured forward of the datum is given which sign in weight and balance computations?

ACS code: AM.I.C

Correct answer: Negative

Rationale: 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.

Ballast is added to an aircraft primarily to

ACS code: AM.I.C

Correct answer: bring the center of gravity within allowable limits

Rationale: 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.

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

ACS code: AM.I.C

Correct answer: net weight at each weighing point

Rationale: 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.

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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.

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