The Hong Kong Polytechnic UniversityDepartment of Aeronautical and Aviation Engineering

THE INSTRUMENT SEES PRESSURE.

Pitot–Static & Airspeed

Separate true speed from pressure-derived indications. Trap a pressure, change the flight condition and reveal the measurement error.

INTERACTIVE CALCULATED DIAGRAMB · LIVE
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Preparing the calculation…

A · no saved reference

01 / READ THE CHANGE

Total minus static

Impact pressure is sensed total pressure minus sensed static pressure. At appreciable Mach number, it is not simply ½ρV².

02 / READ THE CHANGE

Three different speeds

TAS is motion through the air. EAS represents dynamic pressure at sea-level density. The ideal indicated value is CAS because installation and instrument errors are set to zero.

03 / READ THE CHANGE

A trapped pressure stays trapped

The trapping altitude and speed are separate inputs. A sealed pressure line does not update as the aircraft climbs or accelerates.

THE SAME MODEL, CONNECTED VIEWS

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B · solid turquoise   A · dashed amber

Compare A and B

QuantityA · savedB · liveB − AUnit

A remains fixed until saved again. Export includes the model version, settings and plotted data.

Equations, assumptions & sources

Read the balance, then connect each symbol to the model. Open a symbol key for definitions and units. Long equations can be scrolled sideways.

01 · From Mach number to total pressure

ptp=(1+0.2M2)3.5

This is the isentropic perfect-gas relation used by the subsonic model.

Symbols & units
pt,p
Total and static pressure, Pa; γ = 1.4.
M
Mach number, dimensionless.

02 · Density connects TAS and EAS

EAS=TASρρ0

Equivalent airspeed accounts for density when comparing aerodynamic loading.

Symbols & units
TAS,EAS
True and equivalent airspeed, m/s.
ρ,ρ0
Local air density and reference density 1.225 kg/m³.

03 · What the pressure instrument indicates

qc=pt,sensed−ps,sensed CAS=a05[(1+qcp0)27−1]

Blockage can make sensed pressures differ from the surrounding atmosphere. The calculation uses the sensed pressure difference.

Symbols & units
qc
Sensed impact pressure, Pa. No real CAS is reported for a negative value.
a0,p0
Reference sound speed √(γR × 288.15 K), m/s; reference pressure 101325 Pa.
CAS
Ideal calibrated airspeed, m/s; instrument and position errors are excluded.

Subsonic isentropic stagnation relation; dry tropospheric ISA pressure, selected temperature offset, no icing growth, leaks, line dynamics or instrument mechanical effects. A negative sensed pressure difference is an invalid indication, not a negative airspeed. Pressure altitude is the ISA inversion of the sensed static pressure.

NASA · isentropic flow ↗FAA · aviation handbook library ↗

Physical relations and teaching sources support the stated concepts. Generic coefficients are explicitly illustrative; they are not measured manufacturer data. Numerical verification is separate from experimental validation. Model version: applied-labs-v1.1.

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