E6B Calculator + Airspeed Calculator

Airspeed Calculator

CAS / EAS / TAS / Mach
Altitude selection is mandatory.
Select temperature as ISA deviation or OAT.

Select one speed below to calculate the remaining.
Theory / Formulas (ISA)

This calculator computes airspeed relationships using the International Standard Atmosphere (ISA) physical model. Altitude is first converted to meters and ISA temperature is obtained as \(T_{ISA} = T_0 - L\,h\), where \(T_0 = 288.15\,K\) and \(L = 0.0065\,K/m\). The user can define temperature either as ISA deviation \(\Delta ISA\) (in \(^\circ C\)) or as Outside Air Temperature (OAT, in \(^\circ C\)); internally both are converted to absolute temperature in Kelvin as \(T = T_{ISA} + \Delta ISA\) or \(T = OAT + 273.15\).

Static pressure is computed using the tropospheric ISA relation \(p = p_0\,\left(1 - \frac{L\,h}{T_0}\right)^{\frac{g}{R\,L}}\), and air density is then \(\rho = \frac{p}{R\,T}\).

Depending on the selected input speed, the remaining speeds are derived as follows: for Calibrated Airspeed (CAS), impact pressure is first computed as:

$$q_c = p_0\left[\left(1 + \frac{\gamma - 1}{2}\left(\frac{V_{CAS}}{a_0}\right)^2\right)^{\frac{\gamma}{\gamma-1}} - 1\right]$$ $$EAS = \sqrt{\frac{2\,q_c}{\rho_0}}$$ $$TAS = EAS\,\sqrt{\frac{\rho_0}{\rho}}$$ $$M = \frac{TAS}{a},\quad a = \sqrt{\gamma\,R\,T}$$

All calculations assume subsonic flow and standard compressible aerodynamics consistent with aviation performance practice.

Course, Ground Speed, & Wind Correction Angle

Inputs

°
kt
°
kt
°
kt

Calculated

°
kt
°
°
kt

E6B Calculator

Heading / GS / WCA / Time / Fuel

Heading, Ground Speed, & Wind Correction Angle

°
kt
°
kt
kt
kt
°
°
kt

Flight Time for Distance & Ground Speed

NM
kt

Fuel Consumption for Flight Time

min
gal/h
gal
If you detect any issues or calculation errors, please report them to [email protected].

Illustration

Wind: —
WCA: —
Course: —
Heading: —
GS: —
TAS: —
E6B Illustration Compass rose with vectors for wind, course, and heading. WCA Invalid Values N E S W