Chapter 10 of 14

Performance and Weight & Balance

12 practice questions from the 330 in this chapter of StudyWren Aviation. Pick an answer and check it to see the explanation and its FAA source.

Weight Shift & Weight Change PAR-10-180

An airplane's fuel tanks are located aft of its loaded CG. As fuel is burned during flight, the CG will

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The answer is B: move forward

Removing weight located aft of the CG removes positive moment faster than it reduces weight, so the CG moves forward (away from the removed weight). The pilot should confirm the landing CG is still within limits.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-181

An airplane weighs 2,300 lb. A 180-lb rear-seat passenger (arm 73.0 in) moves to the empty front passenger seat (arm 37.0 in). How far does the CG move?

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The answer is B: 2.8 in forward

ΔCG = (180 × 36.0) ÷ 2,300 = 2.8 in. The weight moved forward, so the CG moves forward. 5.7 in uses the rear-seat arm (73.0 in) instead of the 36.0-in distance moved.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-182

In a 2,400-lb airplane, how far must a 40-lb item be moved to shift the CG 0.5 in?

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The answer is A: 30 in

Distance = (total weight × ΔCG) ÷ weight moved = (2,400 × 0.5) ÷ 40 = 30 in. 120 in comes from inverting the formula (2,400 ÷ (40 × 0.5)).

Source: PHAK Ch. 10 FAA-H-8083-1B ACS PA.I.F

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Weight Shift & Weight Change PAR-10-183

Which relationship is used to find the CG change when weight is shifted within the airplane?

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The answer is C: Weight moved divided by total weight equals CG change divided by distance moved

The weight-shift formula is: weight moved / total weight = ΔCG / distance weight is moved. Rearranged, ΔCG = (weight moved × distance) ÷ total weight.

Source: PHAK Ch. 10 FAA-H-8083-1B ACS PA.I.F

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Weight Shift & Weight Change PAR-10-184

A pilot moves a 50-lb box from the baggage compartment to the rear seat. What changes?

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The answer is C: The total moment and CG change, but not total weight

Shifting weight within the airplane changes its arm and therefore the total moment and CG location, but total weight is unchanged. Adding or removing weight changes total weight, moment, and usually CG.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-185

An airplane weighs 2,510 lb with a moment of 121,190 lb-in (CG 48.3 in; aft limit 47.3 in). One 200-lb rear passenger (arm 73.0 in) moves to the empty front passenger seat (arm 37.0 in). What is the new CG, to the nearest 0.1 in?

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The answer is B: 45.4 in

Moment change = 200 × (73.0 − 37.0) = 7,200 lb-in. New moment = 113,990; weight unchanged at 2,510 lb. CG = 45.4 in, now within limits. 42.5 in uses the 73.0-in arm instead of the 36.0-in distance moved; 51.2 in moves the CG the wrong way.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-186

An airplane weighs 2,510 lb with a moment of 121,190 lb-in. The pilot removes 40 lb of baggage stowed at an arm of 123.0 in. What is the new CG, to the nearest 0.1 in?

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The answer is A: 47.1 in

Removed moment = 40 × 123 = 4,920 lb-in. New weight = 2,510 − 40 = 2,470 lb; new moment = 121,190 − 4,920 = 116,270 lb-in; CG = 116,270 ÷ 2,470 = 47.1 in. Dividing by the old 2,510 lb instead forgets to take the bag's weight off, and 49.5 in adds the bag instead of removing it.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-187

An airplane's takeoff CG is exactly at the aft limit, and its fuel tanks are forward of the CG. What should the pilot expect as fuel burns?

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The answer is B: The CG will move aft of the limit

Removing weight located forward of the CG moves the CG aft. Starting at the aft limit, burning fuel will put the CG beyond it, so the airplane must be loaded so that both takeoff and landing CG are within limits.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-188

An airplane takes off at 3,000 lb with its CG at 82.0 in (aft limit 83.0 in). Its fuel is located at an arm of 75.0 in. After burning 40 gal of avgas, what is the CG, to the nearest 0.1 in?

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The answer is C: 82.6 in

Fuel burned = 40 × 6 = 240 lb; moment removed = 240 × 75 = 18,000. New CG = (246,000 − 18,000) ÷ 2,760 = 82.6 in, still within the aft limit. 89.1 in removes the weight but not the moment; 81.4 in moves the CG the wrong way.

Source: PHAK Ch. 10 ACS PA.I.F

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Weight Shift & Weight Change PAR-10-189

The datum of an airplane is the firewall. Its empty weight is 1,200 lb with a CG of 12.0 in. A 30-lb item is installed at an arm of −15.0 in (forward of the firewall). What is the new empty-weight CG, to the nearest 0.1 in?

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The answer is C: 11.3 in

Moment = 1,200 × 12.0 = 14,400; item moment = 30 × (−15.0) = −450, negative because the item is forward of the datum. New CG = 13,950 ÷ 1,230 = 11.3 in. 12.1 in treats the arm as positive, and 12.0 in ignores the effect: an item installed forward of the firewall reduces the total moment and moves the CG forward.

Source: PHAK Ch. 10 FAA-H-8083-1B ACS PA.I.F

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Effects of CG & Weight PAR-10-192

What is the most hazardous effect of loading an airplane with the CG aft of the aft limit?

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The answer is A: Reduced stability and possible inability to recover from a stall or spin

An aft CG reduces longitudinal stability and leaves less nose-down elevator authority. If the CG is too far aft, the pilot may be unable to lower the nose for stall recovery, and spins may become flat and unrecoverable.

Source: PHAK Ch. 10 ACS PA.I.F

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Effects of CG & Weight PAR-10-193

Landing with the CG forward of the forward limit could result in

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The answer is C: insufficient elevator authority to flare

A CG ahead of the forward limit makes the airplane nose-heavy; at low landing speeds the elevator may not have enough authority to raise the nose for the flare, risking a nosewheel-first landing. Light control forces are an aft-CG trait.

Source: PHAK Ch. 10 ACS PA.IV.B

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