Density Altitude Calculator

Find density altitude from field elevation, altimeter setting, and outside air temperature, with a plain-language pilot performance note.

🌡️ Density Altitude Calculator
Field elevation
ft
Altimeter setting
inHg
Outside air temperature (OAT)
°C
Density altitude (DA)
—
Pressure altitude (PA)
—
Step-by-step working

🌡️ What is Density Altitude?

Density altitude is pressure altitude corrected for non-standard temperature, it is the altitude in the International Standard Atmosphere (ISA) that would produce the same air density as the actual local conditions. Because air density directly determines how much power an engine can produce, how efficiently a propeller bites the air, and how much lift a wing generates, density altitude is the single number pilots use to judge how the air will actually "feel" to the aircraft, regardless of what the field elevation sign says.

Pilots and flight planners check density altitude before nearly every flight, to estimate takeoff roll and climb performance accurately, especially at high-elevation or backcountry airports, to recognize the dangerous "hot and high" combination where high field elevation and high temperature stack together to erode performance far beyond what field elevation alone would suggest, to decide whether a loaded aircraft can safely clear obstacles on departure, and to understand why the same airplane performs noticeably differently at the same airport on a cold winter morning versus a hot summer afternoon.

A common misconception is that density altitude only matters at high-elevation mountain airports. In reality, a low-elevation airport on an unusually hot day can also reach a meaningfully elevated density altitude, since temperature, not just elevation, drives the correction. Density altitude can also come out below field elevation on a cold day, meaning better-than-standard performance, it is not a one-directional penalty.

This calculator computes pressure altitude internally from field elevation and altimeter setting using the standard FAA formula, then applies the ISA lapse rate (15°C at sea level, decreasing 1.98°C per 1000 ft of pressure altitude) to find density altitude, and adds a plain-language note on how much aircraft performance is likely to be affected.

📐 Formula

PA (ft) = field elevation (ft) + (29.92 − altimeter setting (inHg)) × 1000
Pressure altitude is computed first, using the same FAA formula as the Pressure Altitude Calculator.
TISA,PA = 15 − 1.98 × (PA ÷ 1000)
TISA,PA = ISA standard temperature at pressure altitude PA (°C), per the ISA lapse rate of 1.98°C per 1000 ft
DA (ft) = PA + 120 × (OAT − TISA,PA)
OAT = outside air temperature (°C)
DA = density altitude (ft)
Example: field elevation = 5000 ft, altimeter = 29.92 inHg, OAT = 35°C → PA = 5000 ft, TISA,PA = 5.10°C, DA = 5000 + 120 × (35 − 5.10) = 8588 ft

Per the FAA Pilot's Handbook of Aeronautical Knowledge, this two-step calculation (pressure altitude, then ISA temperature correction) is the standard method for finding density altitude.

📖 How to Use This Calculator

Steps

1
Enter the field elevation. Type the airport or field elevation above sea level, in feet.
2
Enter the altimeter setting. Type the current altimeter setting in inHg.
3
Enter the outside air temperature. Type the current outside air temperature (OAT), in degrees Celsius.
4
Read the density altitude and performance note. The calculator reports density altitude in feet along with a plain-language performance note.

💡 Example Calculations

Example 1 — Hot and High Airport

Field elevation = 5000 ft, altimeter = 29.92 inHg, OAT = 35°C

1
PA = 5000 + (29.92 − 29.92) × 1000 = 5000 ft
2
TISA,PA = 15 − 1.98 × (5000 ÷ 1000) = 15 − 9.9 = 5.10 °C
3
DA = 5000 + 120 × (35 − 5.10) = 5000 + 3588 = 8588 ft
DA = 8588 ft, over 3500 ft above field elevation, a classic hot-and-high performance hazard
Try this example →

Example 2 — Standard Day at Sea Level

Field elevation = 0 ft, altimeter = 29.92 inHg, OAT = 15°C

1
PA = 0 + (29.92 − 29.92) × 1000 = 0 ft
2
TISA,PA = 15 − 1.98 × (0 ÷ 1000) = 15.00 °C
3
DA = 0 + 120 × (15 − 15.00) = 0 ft
DA = 0 ft, exactly matches field elevation and pressure altitude on a fully standard day
Try this example →

Example 3 — Cold Day, Better Than Standard

Field elevation = 3000 ft, altimeter = 30.10 inHg, OAT = -5°C

1
PA = 3000 + (29.92 − 30.10) × 1000 = 3000 − 180 = 2820 ft
2
TISA,PA = 15 − 1.98 × (2820 ÷ 1000) = 15 − 5.58 = 9.42 °C
3
DA = 2820 + 120 × (-5 − 9.42) = 2820 − 1730 = 1090 ft
DA = 1090 ft, well below field elevation, better-than-standard performance on this cold day
Try this example →

❓ Frequently Asked Questions

What is density altitude?+
Density altitude is pressure altitude corrected for non-standard temperature. It represents the altitude in the standard atmosphere that would have the same air density as the actual conditions, and it directly affects engine power, propeller efficiency, and wing lift.
How do you calculate density altitude?+
DA (ft) = PA (ft) + 120 x (OAT in degrees C - ISA standard temperature at PA in degrees C). Pressure altitude (PA) is computed first from field elevation and altimeter setting, then compared to the standard ISA temperature at that pressure altitude.
What is the ISA standard temperature formula?+
The International Standard Atmosphere (ISA) temperature at a given pressure altitude is 15 degrees C minus 1.98 degrees C for every 1000 ft of pressure altitude: T_ISA = 15 - 1.98 x (PA / 1000).
Why is density altitude important for pilots?+
Density altitude directly affects takeoff roll, climb rate, and service ceiling. High density altitude, from hot temperatures, high elevation, or both, means thinner air, meaning less engine power, less propeller thrust, and less lift, which can significantly lengthen takeoff distance and reduce climb performance.
What is a "hot and high" airport?+
A "hot and high" airport combines high field elevation with high outside air temperature, both of which push density altitude well above field elevation. This combination is a well known hazard in aviation, since it can silently erode aircraft performance far more than pilots expect from field elevation alone.
Does this calculator require pressure altitude as a separate input?+
No. This calculator accepts field elevation and altimeter setting directly and computes pressure altitude internally using the same formula as the Pressure Altitude Calculator, then applies the ISA lapse rate to derive density altitude, so you do not need to calculate pressure altitude separately first.
Can density altitude be lower than field elevation?+
Yes. On a cold day, when the outside air temperature is below the ISA standard temperature for that pressure altitude, density altitude comes out below pressure altitude (and often below field elevation too), meaning better-than-standard aircraft performance.
How much does density altitude affect takeoff distance?+
The exact effect depends on the specific aircraft's performance charts, but as a rule of thumb, every roughly 1000 ft increase in density altitude noticeably lengthens takeoff roll and reduces climb rate, effects that compound quickly at density altitudes several thousand feet above field elevation.
What temperature unit does this calculator use?+
Outside air temperature (OAT) is entered in degrees Celsius, matching the ISA standard atmosphere convention used throughout the density altitude formula.
Is density altitude the same everywhere on a given day?+
No. Density altitude depends on local field elevation, local altimeter setting, and local outside air temperature, all three vary by location, so density altitude must be computed separately for each airport and each set of current conditions.

What is density altitude?

Density altitude is pressure altitude corrected for non-standard temperature. It represents the altitude in the standard atmosphere that would have the same air density as the actual conditions, and it directly affects engine power, propeller efficiency, and wing lift.

How do you calculate density altitude?

DA (ft) = PA (ft) + 120 x (OAT in degrees C - ISA standard temperature at PA in degrees C). Pressure altitude (PA) is computed first from field elevation and altimeter setting, then compared to the standard ISA temperature at that pressure altitude.

What is the ISA standard temperature formula?

The International Standard Atmosphere (ISA) temperature at a given pressure altitude is 15 degrees C minus 1.98 degrees C for every 1000 ft of pressure altitude: T_ISA = 15 - 1.98 x (PA / 1000).

Why is density altitude important for pilots?

Density altitude directly affects takeoff roll, climb rate, and service ceiling. High density altitude, from hot temperatures, high elevation, or both, means thinner air, meaning less engine power, less propeller thrust, and less lift, which can significantly lengthen takeoff distance and reduce climb performance.

What is a 'hot and high' airport?

A 'hot and high' airport combines high field elevation with high outside air temperature, both of which push density altitude well above field elevation. This combination is a well known hazard in aviation, since it can silently erode aircraft performance far more than pilots expect from field elevation alone.

Does this calculator require pressure altitude as a separate input?

No. This calculator accepts field elevation and altimeter setting directly and computes pressure altitude internally using the same formula as the Pressure Altitude Calculator, then applies the ISA lapse rate to derive density altitude, so you do not need to calculate pressure altitude separately first.

Can density altitude be lower than field elevation?

Yes. On a cold day, when the outside air temperature is below the ISA standard temperature for that pressure altitude, density altitude comes out below pressure altitude (and often below field elevation too), meaning better-than-standard aircraft performance.

How much does density altitude affect takeoff distance?

The exact effect depends on the specific aircraft's performance charts, but as a rule of thumb, every roughly 1000 ft increase in density altitude noticeably lengthens takeoff roll and reduces climb rate, effects that compound quickly at density altitudes several thousand feet above field elevation.

What temperature unit does this calculator use?

Outside air temperature (OAT) is entered in degrees Celsius, matching the ISA standard atmosphere convention used throughout the density altitude formula.

Is density altitude the same everywhere on a given day?

No. Density altitude depends on local field elevation, local altimeter setting, and local outside air temperature, all three vary by location, so density altitude must be computed separately for each airport and each set of current conditions.