AQT Aviation Mathematics & Calculations 2 — Questions and Answers
Question 1: An aircraft has a gross weight of 3,000 lbs and a wing area of 200 sq ft. What is the wing loading?
- 10 lbs/sq ft
- 12 lbs/sq ft
- 15 lbs/sq ft (Correct answer)
- 20 lbs/sq ft
Correct answer: 15 lbs/sq ft
Wing loading = gross weight ÷ wing area = 3,000 ÷ 200 = 15 lbs/sq ft.
Question 2: The crosswind component equals wind speed × sin(angle off runway). If wind is 20 knots at 30° off the runway heading, what is the crosswind component?
- 10 knots (Correct answer)
- 17.3 knots
- 20 knots
- 15 knots
Correct answer: 10 knots
Crosswind = 20 × sin(30°) = 20 × 0.5 = 10 knots.
Question 3: An aircraft has 60 gallons of usable fuel burning at 9 gph. What is the maximum endurance (no reserve)?
- 5 hours
- 6 hours 40 min (Correct answer)
- 7 hours
- 8 hours
Correct answer: 6 hours 40 min
Endurance = fuel quantity ÷ fuel burn rate = 60 ÷ 9 = 6.67 hours = 6 hours 40 minutes.
Question 4: An aircraft climbs at 500 fpm. How long will it take to climb from 1,000 ft to 8,500 ft?
- 10 minutes
- 12 minutes
- 15 minutes (Correct answer)
- 17 minutes
Correct answer: 15 minutes
Altitude to climb = 8,500 − 1,000 = 7,500 ft; time = 7,500 ÷ 500 = 15 minutes.
Question 5: An aircraft weighs 2,500 lbs and has a moment arm of 85 inches aft of the datum. What is the moment?
- 200,000 in-lbs
- 212,500 in-lbs (Correct answer)
- 225,000 in-lbs
- 187,500 in-lbs
Correct answer: 212,500 in-lbs
Moment = weight × arm = 2,500 × 85 = 212,500 in-lbs.
Question 6: Pressure altitude is 6,000 ft where standard temperature is +3°C. The actual temperature is −6°C. What is the ISA deviation?
- -9°C (Correct answer)
- -3°C
- +3°C
- -6°C
Correct answer: -9°C
ISA deviation = actual − standard = −6 − 3 = −9°C.
Question 7: An aircraft has a groundspeed of 180 knots and must travel 90 nm. What is the ETE in minutes?
- 20 minutes
- 25 minutes
- 30 minutes (Correct answer)
- 35 minutes
Correct answer: 30 minutes
ETE = distance ÷ groundspeed = 90 ÷ 180 = 0.5 hours = 30 minutes.
AQT Aviation Mathematics & Calculations 2
An aircraft has a gross weight of 3,000 lbs and a wing area of 200 sq ft.
What is the wing loading?