A&P weight and balance: moments, CG and adverse loading
Weight and balance questions on the General test are arithmetic dressed in terminology. If you can compute a moment, a loaded CG, the effect of removing equipment and a percent of MAC, and you know what tare, datum and basic empty weight mean, the subject is free points.
| Moment | Weight × arm, in inch-pounds |
| Center of gravity | Total moment ÷ total weight |
| Arm sign | Positive = aft of the datum; negative = forward of it |
| Datum | Imaginary vertical plane set by the manufacturer, given in the TCDS |
| Tare | Chocks, blocks or a jack on the scale: subtract it |
| Basic empty weight | Includes full engine oil (most aircraft certified after 1978) |
| Useful load | Maximum gross weight − empty weight |
| Minimum fuel (adverse check) | METO horsepower ÷ 2, in pounds |
| Percent of MAC | (CG − LEMAC) ÷ MAC × 100 |
| Ballast needed | Weight × distance out of limits ÷ distance from ballast to desired CG |
Where the point is lost: The most common miss is averaging the arms instead of dividing total moment by total weight. The second is forgetting that removing weight behind the CG moves the CG forward, not aft.
A&P weight and balance: moments, CG and adverse loading
12 questions on A&P weight and balance practice, each with an explanation and statute citation.
12 questions
Pass line: 70%, same as the real exam
Questions and answers, explained
All 12 questions above, with the correct answer and why it is correct. Everything here is on a&p weight and balance: moments, cg and adverse loading.
A 170-pound passenger sits at an arm of +45 inches. What moment does the passenger create?
Why: Moment = weight × arm = 170 lb × 45 in = 7,650 in-lb. Moments are always weight times distance from the datum, expressed in inch-pounds.
Reference AM.I.C.K4 · FAA-H-8083-30B, Ch. 6 (Moment)
An airplane's empty weight is 1,800 lb at +30.0 in. A 180-lb pilot is added at +40.0 in and 240 lb of fuel at +48.0 in. Where is the loaded CG?
Why: Moments: 1,800 × 30 = 54,000; 180 × 40 = 7,200; 240 × 48 = 11,520. Total moment 72,720 in-lb ÷ total weight 2,220 lb = +32.76 in. Averaging the three arms (39.33) ignores how much each item weighs.
Reference AM.I.C.K4 · FAA-H-8083-30B, Ch. 6 (Center of Gravity)
In weight and balance, the datum is
Why: The datum is an imaginary vertical plane from which all horizontal measurements are taken, with the aircraft in level flight attitude. The manufacturer chooses it and it is identified in the aircraft specifications or TCDS. The balance point is the CG, not the datum.
Reference AM.I.C.K1 · FAA-H-8083-30B, Ch. 6 (Datum)
The term basic empty weight applies when the empty weight includes
Why: The handbook: basic empty weight includes the full engine oil capacity, standard for most aircraft certified after 1978. Licensed empty weight includes only residual oil (older aircraft). Standard empty weight is the manufacturer's figure without optional equipment.
Reference AM.I.C.K1 · FAA-H-8083-30B, Ch. 6 (Empty Weight)
An airplane has an empty weight of 3,100 lb and a maximum allowable gross weight of 3,950 lb. What is its useful load?
Why: Useful load = maximum allowable gross weight − empty weight = 3,950 − 3,100 = 850 lb. It covers fuel, crew, passengers, baggage and any fluids not in the empty weight. This exact example appears in the FAA handbook.
Reference AM.I.C.K1 · FAA-H-8083-30B, Ch. 6 (Useful Load)
A main-wheel scale reads 1,260 lb, but wheel chocks weighing 12 lb were left on the scale. What net weight should be recorded for that wheel?
Why: Anything on the scale that is not part of the aircraft, such as chocks, blocks or a jack used to level a tailwheel airplane, is tare weight and must be subtracted: 1,260 − 12 = 1,248 lb.
Reference AM.I.C.K3 · FAA-H-8083-30B, Ch. 6 (Tare Weight)
For an adverse-loading check on an airplane whose piston engine is rated at 230 METO horsepower, how much minimum fuel is used?
Why: Minimum fuel is 1/12 gallon per METO horsepower, which works out to METO hp ÷ 2 in pounds: 230 ÷ 2 = 115 lb. It represents half an hour of operation and is the fuel you cannot leave out when checking CG limits.
Reference AM.I.C.K7 · FAA-H-8083-30B, Ch. 6 (Adverse-Loaded CG Checks)
In a forward adverse-loaded CG check, how is the useful load arranged?
Why: The check deliberately tries to push the CG past the forward limit: every item of useful load forward of that limit is loaded and everything behind it is left empty. The exception is fuel behind the limit, which is entered as minimum fuel because the aircraft cannot fly without it.
Reference AM.I.C.K7 · FAA-H-8083-30B, Ch. 6 (Adverse-Loaded CG Checks)
An airplane weighs 1,600 lb empty with its CG at +36.5 in. The aft CG limit is +36.0 in, and ballast can be installed at −14.0 in. Using the FAA handbook formula, how much ballast is needed?
Why: Ballast = aircraft weight × distance out of limits ÷ distance between the ballast and the desired CG = 1,600 × 0.5 ÷ (36.0 − (−14.0)) = 800 ÷ 50 = 16 lb, placed forward to pull the CG back within the aft limit.
Reference AM.I.C.K9 · FAA-H-8083-30B, Ch. 6 (Ballast)
An airplane's CG is at +70.0 in. The leading edge of the mean aerodynamic chord (LEMAC) is at +58.0 in and the MAC is 60 in long. Where is the CG in percent of MAC?
Why: %MAC = (CG − LEMAC) ÷ MAC × 100 = (70.0 − 58.0) ÷ 60 × 100 = 20 percent. The CG is 12 inches behind the leading edge of a 60-inch chord.
Reference AM.I.C.K4 · FAA-H-8083-30B, Ch. 6 (Mean Aerodynamic Chord)
An airplane weighs 2,000 lb empty with its CG at +35.0 in. A 20-lb radio located at +60.0 in is removed. What is the new empty-weight CG?
Why: Original moment 2,000 × 35 = 70,000 in-lb. Removing the radio subtracts 20 lb and 20 × 60 = 1,200 in-lb: 68,800 ÷ 1,980 = +34.75 in. Removing weight from behind the CG moves the CG forward.
Reference AM.I.C.K4 · FAA-H-8083-30B, Ch. 6 (Equipment Change and Aircraft Alteration)
When raising an airplane with two wing jacks for weighing, what should the technician do as the jacks go up?
Why: The handbook: raise two wing jacks simultaneously so the aircraft does not slip off, and keep the safety collars screwed down against the cylinder so the aircraft cannot tilt if one jack loses hydraulic pressure. Follow the manufacturer's jacking instructions in detail.
Reference AM.I.C.K10 · FAA-H-8083-30B, Ch. 6 (Jacking the Aircraft)
Drill the whole domain
- Weight and Balance (6%)
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