InputsLive
Conditions
Field elevation
ft
Altimeter setting
inHg
Outside air temperature
Temperature
°C
Result
Density altitude
7,983 ft
The air feels thinner than the field elevation — expect reduced performance.
Pressure altitude5,470 ft
ISA standard temp4.1 °C
Above standard20.9 °C

Planning estimate using the FAA/NWS field approximation. Always cross-check your aircraft's published performance data.

Results are estimates. Consult a professional.

How it's calculated

How the density altitude calculator works

Density altitude is the altitude your aircraft and engine truly feel, not the number on the field elevation sign. It is pressure altitude corrected for non-standard temperature. The calculator follows the same three steps the FAA teaches: it turns your altimeter setting into a pressure altitude, finds the standard temperature for that height, then adds a correction for how much warmer or cooler the real air is.

pressure altitude = field elevation + (29.92 altimeter inHg) × 1000
ISA temp (°C) = 15 2 × (pressure altitude ÷ 1000)
density altitude = pressure altitude + 120 × (OAT ISA temp)
The 1,000 ft per 1 inHg pressure correction, the 2 °C per 1,000 ft lapse rate, and the 120 ft per 1 °C temperature factor are the standard field approximation in the FAA P-8740-02 "Density Altitude" pamphlet and the National Weather Service density altitude calculator.
The three corrections

What goes into your density altitude

Density altitude is built from three inputs. The calculator shows each step on its own so you can see whether pressure or temperature is driving the result. On most flights, temperature is the larger lever.

Field elevation — the starting point

How high the airport sits above mean sea level. This is fixed for any given field and is where every density altitude calculation begins.

Altimeter setting — the pressure correction

Subtract the altimeter setting from the standard 29.92 inHg and multiply by 1,000. Lower pressure pushes pressure altitude above field elevation; higher pressure pulls it below. One inch of mercury moves it 1,000 feet.

Outside air temperature — the biggest factor

Compare the real temperature with the ISA standard for that pressure altitude. Every degree Celsius above standard adds about 120 feet of density altitude. On a hot day this term dwarfs the pressure correction.

Temperature moves it the most
Pressure rarely strays more than half an inch from standard, so it shifts density altitude a few hundred feet. Temperature can sit 20 °C above standard on a summer afternoon — that alone adds roughly 2,400 feet.
Example

A worked example using the density altitude calculator

Example: a 5,000 ft field, 29.45 inHg, 25 °C

A pilot is departing a mountain airport at 5,000 ft elevation. The altimeter setting is 29.45 inHg and the outside air temperature is 25 °C — a warm afternoon. They want the density altitude before checking the takeoff chart.

Step 1 — Find pressure altitude

29.92 − 29.45 = 0.47, and 0.47 × 1,000 = 470 ft. Add field elevation: 5,000 + 470 = 5,470 ft pressure altitude.

Step 2 — Find the ISA standard temperature

At 5,470 ft the standard temperature is 15 − 2 × 5.47 = 4.06 °C. The real air, at 25 °C, is about 21 °C warmer than standard.

Step 3 — Apply the temperature correction

25 − 4.06 = 20.94 °C above standard. Then 5,470 + 120 × 20.94 = 7,983 ft density altitude.

5,470 ft pressure → 7,983 ft density
The aircraft will perform as if it were nearly 3,000 feet higher than the field. Expect a longer takeoff roll, a slower climb, and reduced engine power — exactly what the heat is costing you.
Quick reference

Density altitude by elevation and temperature

This table shows density altitude at a few field elevations and temperatures, all with a standard 29.92 inHg altimeter setting (so pressure altitude equals field elevation). Notice how fast the numbers climb as temperature rises.

Field elevation20 °C30 °C40 °C
Sea level600 ft1,800 ft3,000 ft
2,000 ft3,080 ft4,280 ft5,480 ft
5,000 ft6,800 ft8,000 ft9,200 ft
8,000 ft10,520 ft11,720 ft12,920 ft

Density altitude in feet, computed with the FAA field approximation at a standard 29.92 inHg setting. Humidity, not modelled here, raises these figures slightly on muggy days.

Why it matters

How density altitude affects aircraft performance

Thinner air is the whole problem. As density altitude rises the air holds fewer molecules per cubic foot, and three things suffer at once: the wings make less lift, the engine makes less power, and the propeller bites less air. The result is a longer takeoff roll, a weaker climb, and a higher true airspeed needed to fly.

  • Longer takeoff roll — the aircraft accelerates more slowly and must reach a higher true airspeed to lift off.
  • Reduced climb rate — less excess power means a shallower, slower climb away from terrain and obstacles.
  • Reduced engine power — naturally aspirated engines lose power roughly in proportion to the drop in air density.
  • Longer landing distance — higher true airspeed at touchdown stretches the rollout, even though indicated airspeed looks normal.
The FAA notes that high, hot, and humid conditions raise density altitude and degrade takeoff, climb, and landing performance; the NWS records that high density altitude is a recurring factor in mountain and summer aviation accidents.
Conditions

Hot, high, and humid: when density altitude bites

Pilots learn the phrase "hot, high, and humid" because all three push density altitude the same direction — up. A cool morning at a low field is forgiving. A hot afternoon at a mountain strip, with moist air, can erase a large share of your aircraft's performance before you even line up.

Heat is the dominant factor, which is why density altitude peaks in mid-afternoon rather than at noon. Elevation stacks on top of it: a 5,000 ft field on a 30 °C day already feels like 8,000 ft. Humidity adds a smaller correction this calculator does not model — water vapor is lighter than dry air, so very moist conditions raise the true density altitude by a few hundred feet beyond the dry-air figure.

Plan for the worst part of the day
If you can choose your departure time, fly in the cool of early morning. The same runway and the same airplane behave very differently at 06:00 and at 15:00 in summer.
When to use

When to use this density altitude calculator

Run it any time the air is non-standard and performance margins are thin — which covers most summer, mountain, and high-load departures.

  • Before takeoff at a high or hot field — to read the right line off your aircraft's takeoff and climb charts.
  • Mountain flying — where field elevation alone already pushes density altitude into demanding territory.
  • Hot summer afternoons — when temperature far above ISA standard quietly steals climb performance.
  • Heavy or short-field operations — where a few hundred feet of density altitude can change whether the numbers work.
Definitions

Density altitude definitions

Pressure altitude corrected for non-standard temperature: the altitude in the standard atmosphere at which the air density matches the air where you are. It is the height your aircraft and engine perform as if they were flying at.
Field elevation corrected for non-standard pressure. Found by setting the altimeter to 29.92 inHg, or by adding (29.92 − altimeter setting) × 1,000 to field elevation.
The height of an airport above mean sea level (MSL). The fixed starting point for both pressure altitude and density altitude.
The International Standard Atmosphere: 29.92 inHg and 15 °C at sea level, with temperature falling 2 °C per 1,000 ft. It is the reference both corrections are measured against.
The actual temperature of the air outside the aircraft. The amount it differs from the ISA standard drives the temperature correction in the density altitude formula.
The local sea-level-equivalent pressure in inches of mercury, set in the altimeter so it reads field elevation on the ground. Used to convert field elevation into pressure altitude.
Accuracy

How accurate is this density altitude calculator?

This is the field approximation taught for the FAA knowledge test, and it is close. The pressure-altitude step is exact, and the 120-feet-per-degree temperature correction tracks the full thermodynamic computation to within a few hundred feet across normal flying conditions. For pre-flight planning and reading performance charts, that is well inside the margins you already build in.

Two caveats. The formula uses dry air, so it slightly understates density altitude on humid days — water vapor is lighter than dry air, adding a few hundred feet in muggy conditions. And it is a planning tool, not a substitute for your aircraft's published performance data: always cross-check takeoff and climb numbers against the charts in your pilot's operating handbook, and treat thin margins conservatively.

Questions

Frequently asked questions about the free density altitude calculator

A density altitude calculator is a free online tool that helps you the altitude your aircraft and engine 'feel' — pressure altitude corrected for non-standard temperature, using the FAA/NWS field formula. Density altitude is pressure altitude corrected for non-standard temperature — the altitude in the standard atmosphere where the air has the same density as the air around you. It is the height your aircraft and engine perform at. It runs entirely in your browser with instant results and no sign-up.
It is the altitude your aircraft and engine feel they are flying at, regardless of the actual field elevation. Formally, it is pressure altitude corrected for non-standard temperature — the height in the standard atmosphere where the air has the same density as the air around you.
Thinner air reduces lift, engine power, and propeller efficiency at the same time. The result is a longer takeoff roll, a slower climb, and a longer landing distance. At a 5,000 ft field on a hot day, an airplane can perform as if it were at 8,000 ft or higher.
Pressure altitude is field elevation corrected for non-standard pressure (set the altimeter to 29.92 inHg). Density altitude takes that pressure altitude and corrects it further for non-standard temperature. On a hot day, density altitude is well above pressure altitude.
Yes, slightly. Water vapor is lighter than dry air, so moist air is less dense. The standard field formula uses dry air and understates density altitude by a few hundred feet on very humid days.
Temperature is the biggest factor in density altitude, and air temperature usually peaks in mid-to-late afternoon. The same runway and airplane perform noticeably better in the cool of early morning.
About

About this Density Altitude calculator

This density altitude calculator runs entirely in your browser. Nothing you enter is sent anywhere — the field elevation, altimeter setting, and temperature you type stay on your device, and the result updates instantly as you adjust them.

It uses the standard FAA/NWS field formula taught for the knowledge test. For more conditions tools, see our other weather calculators, or browse the full library of free calculators.

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