How to calculate true airspeed from calibrated airspeed (and Mach)
True airspeed is calibrated airspeed corrected for air density. Thinner air, same needle reading, faster you're actually going. 120 kt CAS at 8,000 ft, 29.92 inHg, 5 °C comes out to 137 kt TAS, Mach 0.210 — 17 knots you don't see on the gauge but absolutely feel in the fuel burn. E6B Calc's free True Airspeed screen works it out from CAS, altitude, altimeter setting and OAT.
Why you need true airspeed
The airspeed indicator measures dynamic pressure, and that falls as air thins out. So at altitude you're covering more ground than the needle lets on. Every navigation figure that matters — the wind triangle, ground speed, time, fuel on the navlog — starts from true airspeed, not from what you glance at on climb-out.
IAS, CAS, EAS and TAS in one line each
- IAS: what the needle shows.
- CAS: IAS corrected for instrument and position error, from the airspeed calibration table in your POH.
- EAS: CAS corrected for compressibility, which matters above about 200 kt.
- TAS: EAS corrected for density. Your real speed through the air mass.
How to calculate true airspeed from indicated airspeed
There's no IAS field here, on purpose: the IAS-to-CAS correction is different for every airframe and every flap setting, so a generic field would just be wrong for someone. Look your planned IAS up in the POH's airspeed calibration table, get CAS, enter that. In a lot of light singles at cruise the two sit within a couple of knots of each other — but check your own table before you assume that applies to you.
Step by step in E6B Calc
- On E6B, open True Airspeed under Flight.
- Enter Calibrated airspeed in your speed unit.
- Enter Indicated altitude: the altitude you will fly.
- Check the Altimeter setting (it starts at standard) and enter the Outside air temperature at that altitude.
- Read True airspeed, Mach number, Equivalent airspeed, Pressure altitude and Density altitude.
Worked examples
| CAS | Altitude | Altimeter | OAT | TAS | Mach | EAS |
|---|---|---|---|---|---|---|
| 120 kt | 8,000 ft | 29.92 inHg | 5 °C | 137 kt | 0.210 | 120 kt |
| 250 kt | 35,000 ft | 29.92 inHg | −54 °C | 428 kt | 0.741 | 238 kt |
Row one is an ordinary light-aircraft cruise, density altitude 8,690 ft, TAS 17 kt above CAS. Row two is why the app bothers with compressible-flow equations at all: the old slide-rule method, CAS over the square root of the density ratio, would say 449 kt — about 21 kt too fast, and at jet speeds that error doesn't shrink.
The true airspeed formula in aviation
For slow aircraft, TAS ≈ CAS ÷ √(density ratio) — the shortcut the mechanical slide rule uses. The app runs the longer chain instead: impact pressure from CAS, Mach at the actual pressure, then TAS from Mach and OAT. At 120 kt the two methods agree within a knot; at jet speeds they diverge sharply.
Tips and mistakes
- Use the temperature at cruise altitude, not on the ground. If you only have the ground value, subtract about 2 °C per 1,000 ft for a planning estimate.
- A rough mental check: TAS is about 2 % more than CAS per 1,000 ft of altitude.
- The app refuses supersonic inputs and shows Beyond the model.
- Speed can be kt, km/h or mph in Settings > Units of measurement; altitude is always feet.
Questions and answers
Can I calculate true airspeed from ground speed?
How do I calculate true airspeed in a climb?
What is Mach used for here?
Why does my E6B give a different answer at high speed?
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