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Aviation calculators for the knowledge test

Live calculators for the math on the FAA tests: density altitude, weight and balance, wind components and time-speed-distance problems. Change any value and the answer updates.

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Calculators

Work the numbers the test asks for

Live calculators for flight, currency and maintenance math. Change any value and the answer updates, and many show the rule of thumb the test expects, so you learn the method as well as the answer. For study only, not for flight planning or maintenance decisions.

Flight12

Altitude, airspeed, wind, fuel, weather and daylight.

Density altitude

From field elevation, altimeter setting and temperature.

7,636 ft
Pressure altitude4,900 ft
Standard temp at that altitude5.2 °C
Above standard by22.8 °C

Rule of thumb: 120 ft of density altitude per °C above standard. Default is a field at 5,000 ft, where summer density altitude matters.

For Remote Pilot + 5 more

Pressure altitude

Altitude corrected to the standard 29.92 in Hg.

5,140 ft
Correction140 ft

Each 0.01 in Hg below 29.92 adds about 10 ft.

For Remote Pilot + 5 more

True airspeed

Calibrated airspeed corrected for air density.

127 kt TAS
Density altitude9,340 ft
Air density ratio0.754

Standard-atmosphere model. Compare it with the 2% per 1,000 ft rule of thumb.

For Private Pilot + 4 more

Crosswind and headwind

Wind components for a runway.

10 kt crosswind
From theright
Headwind11 kt
Angle to runway40°

Runway 17 points 170° magnetic. Tower and ATIS winds are magnetic; METAR and TAF winds are true.

For Private Pilot + 4 more

Heading and groundspeed

Solve the wind triangle for a course.

105 kt groundspeed
True heading83°
Wind correction angle-6.8°

Apply magnetic variation and deviation to get compass heading.

For Private Pilot + 4 more

Time, speed and distance

Enter distance and groundspeed.

0 hr 46 min
Decimal hours0.77
Nautical miles per minute1.87

For Remote Pilot + 5 more

Fuel required

Trip fuel plus the VFR reserve of §91.151.

17.9 gal
Trip fuel13.6 gal
Reserve4.3 gal
Weight at 6 lb/gal107 lb

§91.151 minimums for airplanes. Many pilots plan a larger personal reserve.

For Private Pilot + 4 more

Load factor in a turn

Load factor and stall speed in a level, coordinated turn.

1.41 G
Stall speed in the turn57 kt
Increase19%

The remote pilot test asks this from its load factor chart. 60° of bank gives 2 G.

For Remote Pilot + 5 more

Estimated cloud base

From the temperature and dewpoint spread.

4,000 ft AGL
Spread10 °C
Base, MSL9,000 ft

In unsaturated air, temperature and dewpoint converge about 2.5 °C (4.4 °F) per 1,000 ft.

For Remote Pilot + 5 more

MSL to AGL, and the 400-foot rule

Convert chart altitudes and check Part 107 limits.

560 ft AGL
Your Part 107 ceiling here400 ft AGL
Within limit?No

Within 400 ft of a structure you may fly up to 400 ft above its top (§107.51(b)). Controlled airspace still needs authorization.

For Remote Pilot

METAR decoder

Paste a METAR to read it in plain English.

VFRKBOI
ObservedDay 27 at 18:53 UTC
WindFrom 210° at 12 kt, gusting 18 kt
Visibility10 SM
SkyFew 6,000 ft, broken 25,000 ft
Ceiling25,000 ft AGL
Temp / dewpoint24 °C / 6 °C
Altimeter30.02 in Hg

Ceiling is the lowest broken, overcast or vertical-visibility layer (14 CFR 1.1). Sample report is illustrative.

For Remote Pilot + 5 more

Sunrise, sunset and twilight

For night and twilight operations.

Sunrise7:54 AM
Sunset6:28 PM
Part 107 morning civil twilight7:24 AM – 7:54 AM
Part 107 evening civil twilight6:28 PM – 6:58 PM
Sun 6° below horizon (morning)7:26 AM
Sun 6° below horizon (evening)6:56 PM
Night currency window begins7:28 PM

For Part 107, 14 CFR 1.1 defines civil twilight as the 30 minutes before sunrise and after sunset (outside Alaska). Night is defined from Air Almanac civil twilight, the sun 6° below the horizon. Default: Salt Lake City, Utah, daylight time. Times are approximate.

For Remote Pilot + 5 more

Currency7

When a certificate, review, medical, inspection or report comes due.

Part 107 recurrent training due

Remote pilots need a passed knowledge test or recurrent training within the previous 24 calendar months.

Wed, March 31, 2027
Status152 days left

Calendar months run to the end of the month (§107.65). Recurrent training is free on FAASafety.gov.

For Remote Pilot

Flight review due

A flight review within the previous 24 calendar months (§61.56).

Mon, November 30, 2026
Status31 days left

For Private Pilot + 4 more

Passenger currency

Three takeoffs and landings in the preceding 90 days (§61.57).

Sat, November 28, 2026
Carry passengers by day through29 days left

Tailwheel airplanes need full-stop landings for day currency too.

For Private Pilot + 4 more

Instrument currency

Six approaches, holding, intercepting and tracking within six calendar months (§61.57(c)).

Thu, December 31, 2026
Current through62 days left
Regain with a safety pilot or device untilWed, June 30, 2027
After thatInstrument proficiency check (§61.57(d))

For Instrument + 3 more

Medical certificate expiration

When each class of privilege runs out (§61.23).

First-class privilegesJuly 31, 2027: 274 days left
Second-class privilegesJuly 31, 2027: 274 days left
Third-class privilegesJuly 31, 2031: 1,735 days left

BasicMed is a separate option with its own rules.

For Private Pilot + 4 more

Annual and 100-hour inspections

Due dates under §91.409.

Annual dueMon, November 30, 2026
Annual status31 days left
Next 100-hour at2,240.6 hr
Hours remaining29.4

The 100-hour inspection applies to aircraft carrying people for hire or used for flight instruction for hire. The 100-hour limit may be exceeded by up to 10 hours to reach a place where it can be done.

For Maintenance + 5 more

Part 107 accident report deadline

Report to the FAA within 10 calendar days (§107.9).

Fri, November 6, 2026
Status7 days left

Required for serious injury, loss of consciousness or damage over $500 to property other than the drone.

For Remote Pilot

Maintenance5

Shop math for the aviation mechanic tests.

Weight and balance

Total weight, moment and center of gravity.

ItemWeightArm
CG 38.63 in
Total weight2,120 lb
Total moment81,900 lb-in
Within limits?Yes

Moment = weight × arm. CG = total moment ÷ total weight. Sample aircraft with a single CG range; real aircraft often have a CG envelope that changes with weight, so use your aircraft's own data.

For Maintenance + 3 more

Bend allowance and setback

Sheet metal layout for a bend.

0.2242 in
Setback0.1650 in
Setback K (tan of half the bend angle)1.0000

BA = (0.01743 R + 0.0078 T) × degrees. SB = K (R + T).

For Maintenance

Ohm's law and power

Enter any two values.

Voltage28.00 V
Current4.00 A
Resistance7.00 Ω
Power112.00 W

For Maintenance

Torque conversion

Between inch-pounds, foot-pounds and newton-meters.

Inch-pounds150.0
Foot-pounds12.50
Newton-meters16.95

1 N·m = 8.8507 in-lb. 1 ft-lb = 12 in-lb.

For Maintenance

Fraction, decimal and millimeter

Nearest 64th of an inch.

5/16"
Millimeters7.94
Error from nearest 64th0.0000 in

For Maintenance

More free tools

Free download

Get the free Part 107 Starter Kit

The October 2026 test-change briefing, 20 practice questions and an exam-day checklist.

  • 01
    The October 2026 test-change briefing. What the new image-based questions look like and how to prepare for them.
  • 02
    20 practice questions, weighted to the test blueprint, with the reason every answer is right or wrong.
  • 03
    The exam-day checklist: what to bring, what to expect and how the time works.
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