Private Pilot · Chapter 10 of 14

Performance and Weight & Balance

12 free 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. Part of the free Private Pilot practice test.

Density Altitude PAR-10-022

At an airport with a pressure altitude of 2,000 ft, what outside air temperature would produce a density altitude of 5,000 ft (use DA ≈ PA + 120 × (OAT − ISA))?

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The answer is C: 36°C

Required increase = 5,000 − 2,000 = 3,000 ft; 3,000 ÷ 120 = 25°C above standard. ISA at 2,000 ft = 15 − 4 = 11°C, so OAT = 11 + 25 = 36°C. The 25°C figure is only the deviation, and 11°C is the standard temperature itself, which would give a density altitude equal to pressure altitude.

Source: PHAK Ch. 11 IFH Ch. 4 ACS PA.I.F

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Performance Effects of Density Altitude PAR-10-032

Why does takeoff distance increase at a high density altitude?

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The answer is A: The airplane must reach a higher true airspeed with less power available

Liftoff occurs at the same indicated airspeed, which corresponds to a higher true airspeed in thin air. At the same time a normally aspirated engine and the propeller produce less thrust, so acceleration is slower and the higher speed takes more runway to reach.

Source: PHAK Ch. 11 ACS PA.I.F

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Takeoff Performance PAR-10-062

Short-field takeoff, 2,400 lb, flaps 10°, paved level dry runway, zero wind (ground roll / total distance to clear a 50-ft obstacle, ft): Pressure alt | 0°C | 10°C | 20°C | 30°C Sea level | 820 / 1,450 | 885 / 1,560 | 955 / 1,675 | 1,025 / 1,795 Additional note: Increase the ground roll 7% for each 1% of uphill runway gradient. Pressure altitude is sea level, the OAT is 20°C, the wind is calm, and the runway has a 2% uphill gradient. What is the ground roll, to the nearest 10 ft?

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The answer is B: 1,090 ft

The chart ground roll at sea level and 20°C is 955 ft. A 2% uphill gradient × 7% per 1% = a 14% increase: 955 × 1.14 = 1,088.7 ≈ 1,090 ft. Adding only 7% treats it as a 1% gradient (1,020 ft), and taking 14% off (820 ft) treats the upslope as a benefit.

Source: PHAK Ch. 11 ACS PA.IV.A

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Landing Performance PAR-10-069

Short-field landing, 2,550 lb, flaps 30°, paved level dry runway, zero wind (ground roll / total distance over a 50-ft obstacle, ft): Pressure alt | 10°C | 20°C 2,000 ft | 605 / 1,385 | 630 / 1,420 4,000 ft | 655 / 1,460 | 675 / 1,495 Notes: Decrease distances 10% for each 9 kt of headwind. For tailwinds up to 10 kt, increase distances 10% for each 2 kt. On a dry grass runway, increase the ground roll 45%. Pressure altitude is 4,000 ft, the OAT is 10°C, the wind is calm, and the runway is dry grass. What is the landing ground roll, to the nearest 10 ft?

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The answer is A: 950 ft

Read the ground roll (the first figure) for 4,000 ft at 10°C: 655 ft on pavement. Dry grass adds 45% to the ground roll: 655 × 1.45 = 949.75 ≈ 950 ft. 2,120 ft applies the 45% to the total distance over 50 ft instead, and 655 ft leaves out the grass correction.

Source: PHAK Ch. 11 ACS PA.IV.D

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Climb Performance PAR-10-090

What is the absolute ceiling of an airplane?

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The answer is B: The altitude at which the airplane can no longer climb

Absolute ceiling is the altitude at which no excess power remains and the maximum rate of climb is zero. The 100-fpm altitude is the service ceiling.

Source: PHAK Ch. 11 ACS PA.I.F

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Cruise Performance PAR-10-105

To remain airborne for the longest time (maximum endurance) in a piston airplane, the pilot should fly at

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The answer is B: the airspeed that requires the least power

Fuel flow in a piston airplane is roughly proportional to power, so maximum endurance occurs at the airspeed for minimum power required. Maximum range in a propeller airplane occurs at the higher L/D max speed.

Source: PHAK Ch. 11 ACS PA.I.F

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Crosswind & Headwind Components PAR-10-130

Which wind report gives the wind direction relative to magnetic north?

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The answer is A: The wind given by the tower or the ATIS

Winds in printed or written reports and forecasts, such as the METAR and TAF, are referenced to true north. Winds spoken by the tower or broadcast on ATIS are magnetic, so they match the runway numbers.

Source: AIM 4-3-6 AIM 7-1-10 ACS PA.I.F

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Weight & Balance Terms PAR-10-146

The difference between standard empty weight and basic empty weight is the weight of

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The answer is A: installed optional and special equipment

Basic empty weight = standard empty weight + optional and special equipment installed. Standard empty weight already includes unusable fuel and full engine oil.

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

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Weight & Balance Calculations PAR-10-164

Airplane data: Basic empty weight 1,680 lb, moment 65,520 lb-in (arm 39.0 in). Station arms (in aft of datum): front seats 37.0; rear seats 73.0; fuel 48.0 (53 gal usable, 6 lb/gal); baggage area A 95.0 (max 100 lb); baggage area B 123.0 (max 50 lb). Maximum takeoff weight 2,550 lb. CG limits: forward 35.0 in at 1,950 lb or less, increasing linearly to 41.0 in at 2,550 lb; aft 47.3 in at all weights. Loading: pilot 190 lb (front), 20 gal of fuel, 100 lb in baggage area A, 50 lb in baggage area B (2,140 lb, moment 93,960 lb-in). What is the maximum total rear-seat passenger weight that keeps both weight and CG within limits?

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The answer is B: About 280 lb

By weight: 2,550 − 2,140 = 410 lb. By aft CG: (93,960 + 73x) ÷ (2,140 + x) = 47.3 → 25.7x = 7,262 → x ≈ 282 lb. The CG limit governs, so about 280 lb. 250 lb results from dividing by (73 − old CG) instead of (73 − 47.3).

Source: PHAK Ch. 10 FAA-H-8083-1B 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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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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POH & Operating Limitations PAR-10-211

Why should a pilot add a safety margin to POH performance figures?

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The answer is B: The data came from a new airplane flown by test pilots in ideal conditions

Manufacturers obtain performance data from flight tests of new airplanes with new engines, flown by experienced test pilots under carefully controlled conditions. A typical airplane and pilot may not achieve those numbers, so a margin should be added.

Source: PHAK Ch. 11 ACS PA.I.F

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