Density altitude calculator with dew point
This density altitude calculator follows the National Weather Service formulas: station pressure from the altimeter setting, virtual temperature from the dew point, then the density altitude. At a 5,000 ft field with 29.92 inHg, 30 °C and a dew point of 10 °C the air is as thin as at 7,997 ft in the standard atmosphere.
Example: Elevation unit: feet · Field elevation 5,000 · Altimeter setting (QNH) 29.92 · Temperature unit: °C · Outside air temperature 30 · Dew point 10 → Density altitude: Density altitude 7,997 ft (2,437 m). Source: NOAA National Weather Service (El Paso) – Density Altitude: vapor pressure, virtual temperature and density altitude formulas (read 09.10.2026). Updated: .
How it is calculated
Density altitude is the altitude in the standard atmosphere at which the air has the same density as at your field. Heat, low pressure and humidity make the air thinner, so engines, propellers and wings perform as if the airplane were higher up. The calculator uses the formulas of the National Weather Service (El Paso office):
- Station pressure = altimeter setting × ((288 − 0.0065 × h) ÷ 288)^5.2561 with h in meters
- Vapor pressure e = 6.11 × 10^(7.5 × Td ÷ (237.3 + Td)) hPa
- Virtual temperature Tv = T ÷ (1 − (e ÷ p) × (1 − 0.622)) in kelvin
- Density altitude = 145366 × (1 − (17.326 × p ÷ Tv)^0.235) ft, with p in inHg and Tv in degrees Rankine
Examples (altimeter 29.92 inHg)
| Field elevation | Temperature / dew point | Density altitude |
|---|---|---|
| 0 ft | 15 °C / 0 °C | 96 ft |
| 0 ft | 35 °C / 20 °C | 2,587 ft |
| 2,000 ft | 30 °C / 15 °C | 4,406 ft |
| 5,000 ft | 15 °C / 0 °C | 6,258 ft |
| 5,000 ft | 30 °C / 10 °C | 7,997 ft |
| 8,000 ft | 25 °C / 0 °C | 11,013 ft |
In the 5,000 ft example the station pressure is 24.89 inHg (842.9 hPa), the vapor pressure 12.28 hPa and the virtual temperature 31.7 °C; the pressure altitude is 5,002 ft. In °F the same day reads 95 °F with a 50 °F dew point at 35 °C / 10 °C: 8,524 ft.
Why humidity matters
Water vapor is lighter than dry air. At 5,000 ft and 30 °C a dew point of 25 °C instead of 10 °C raises the density altitude from 7,997 ft to 8,280 ft. Even at sea level in standard conditions the formulas give a few dozen feet rather than exactly zero, because they are fitted approximations.
Pressure altitude
Pressure altitude only looks at pressure: (1 − (p ÷ 1013.25)^0.190284) × 145366.45 ft with p in hPa. Air density on its own is in the air density calculator; the dew point from relative humidity in the dew point calculator.
Frequently asked questions
How do you calculate density altitude?
Find the station pressure from elevation and altimeter setting, the virtual temperature from temperature and dew point, then use 145366 × (1 − (17.326 × p ÷ Tv)^0.235). At 5,000 ft, 29.92 inHg, 30 °C and 10 °C dew point the result is 7,997 ft.
What is the density altitude at sea level on a hot day?
At 0 ft with 29.92 inHg, 35 °C and a 20 °C dew point it is 2,587 ft.
Does humidity really change density altitude?
Yes. At 5,000 ft and 30 °C, a dew point of 25 °C instead of 10 °C adds 283 ft (8,280 instead of 7,997 ft).
What is the difference between pressure altitude and density altitude?
Pressure altitude corrects only for pressure; density altitude also corrects for temperature and humidity. In the 5,000 ft example: 5,002 ft versus 7,997 ft.
Can I enter the altimeter setting in hPa?
Yes. Values above 100 are read as hPa and converted with 1 inHg = 33.8639 hPa.
Can I plan a take-off with this?
Use it as an estimate only. Take-off distance and climb rate come from the POH/AFM performance charts of your aircraft.
Sources and legal basis
- NOAA National Weather Service (El Paso) – Density Altitude: vapor pressure, virtual temperature and density altitude formulas (read 09.10.2026)
- NOAA National Weather Service (El Paso) – Station Pressure from elevation and altimeter setting (read 09.10.2026)
- NOAA National Weather Service (El Paso) – Pressure Altitude: (1 − (p/1013.25)^0.190284) × 145366.45 ft (read 09.10.2026)
- NOAA National Weather Service (El Paso) – Pressure Conversion: 1 inHg = 33.8639 hPa (read 09.10.2026)
- NIST SP 811, Appendix B.8 – conversion factors: 1 ft = 0.3048 m, degree Rankine and degree Fahrenheit (read 09.10.2026)
- FAA – Pilot’s Handbook of Aeronautical Knowledge, Chapter 4 “Principles of Flight”: definition of density altitude, effect of humidity (read 09.10.2026)
- FAA – Density Altitude, FAA-P-8740-2: longer take-off distance, reduced climb rate, POH first, add 10 % to the take-off distance in high humidity (read 09.10.2026)
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