Transport & Manufacturing
Aircraft True Airspeed (TAS) from Calibrated Airspeed (CAS) & Alt
Calculate aircraft true airspeed (tas) from calibrated airspeed (cas) & alt using the stated engineering or scientific relationship and adjustable field inputs.
Preparing your result…
What this calculator does
Calculates Aircraft True Airspeed (TAS) from Calibrated Airspeed (CAS) & Alt using the formula verified against the cited source.
What your result means
An estimate from the inputs you enter, within the scope stated below — not advice.
Formula
Low-Mach approximation: TAS ≈ CAS × √(ρ₀ ÷ ρ), ρ = p ÷ (R·T) with ISA pressure at the pressure altitude and the actual outside-air temperature (ρ₀ = 1.225 kg/m³)
The step-by-step working for your own numbers appears with the result above and in the PDF report.
Frequently asked questions
Symbols and assumptions
- Inputs
- The values entered in the fields above
- • The 2%-per-1000ft TAS rule is only a rough approximation. In the low-Mach limit TAS≈EAS√(ρ0/ρ), with CAS≈EAS only when compressibility corrections are negligible.
Sources and review
Reviewed 2026-10-18 · Next review 2027-04-18
- • Pressure altitude alone does not establish actual air density; outside-air temperature is missing. For accurate CAS-to-TAS use static pressure/temperature and the compressible airspeed relation or approved air-data method. Label a retained 2% rule as an estimate rather than an exact conversion; do not silently assume standard temperature.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Quick reference
| Scenario | Calibrated airspeed (CAS) (kt) | Pressure altitude (ft) | Outside air temperature (°C) | True airspeed (TAS) |
|---|---|---|---|---|
| Worked example | 120 | 6,000 | 3 | 131.2271 kt |
| Half the amounts | 60 | 3,000 | 1.5 | 61.8753 kt |
| Double the amounts | 240 | 12,000 | 6 | 296.2077 kt |
Need the full picture? Get the detailed PDF report with charts, tables, formulas and working steps.
Reviewed 2026-10-18 · Next review 2027-04-18
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