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Pressure Altitude Calculator

Calculate pressure altitude from station pressure (aviation barometric formula).

Reviewed for accuracy by the Math Ora X team Last updated

Result

About the Pressure Altitude Calculator

Pressure altitude is the altitude in the International Standard Atmosphere corresponding to a given pressure. Pilots use it for aircraft performance calculations.

$$ PA = (1 - (p/1013.25)^{0.190284})\times 145366.45\ \text{ft} $$

How to use

Enter the current station pressure (hPa), then click Calculate.

Worked example

At 1013.25 hPa → pressure altitude 0 ft (sea level).

How to use this calculator

  1. Enter the station pressure from your altimeter or weather source.
  2. Make sure the pressure is in a supported unit such as hPa or inHg.
  3. Click calculate to get the pressure altitude in feet.
  4. Review the step-by-step breakdown if you want to see how the result was computed.

The formula explained

$$ h_p = \left(1 - \left(\frac{p}{p_0}\right)^{0.190284}\right) \cdot 145366.45 $$

  • \(h_p\) = pressure altitude
  • \(p\) = station pressure
  • \(p_0\) = standard sea level pressure, 1013.25 hPa or 29.92 inHg
  • \(0.190284\) = constant from the standard atmosphere formula
  • \(145366.45\) = conversion factor that turns the result into feet

Step by step method

  1. Start with the station pressure, which is the actual atmospheric pressure at your location.
  2. Compare it to standard sea level pressure used in aviation.
  3. Apply the aviation barometric formula to convert that pressure into altitude above the standard datum plane.
  4. Read the final pressure altitude result in feet.

Worked example

Suppose a pilot has a station pressure of 950.00 hPa at an airport and wants the pressure altitude.

  1. Use the formula \(h_p = \left(1 - \left(\frac{950.00}{1013.25}\right)^{0.190284}\right) \cdot 145366.45\).
  2. First compute the ratio: \(950.00 / 1013.25 \approx 0.93752\).
  3. Raise it to the power: \(0.93752^{0.190284} \approx 0.98775\).
  4. Finish the calculation: \(h_p \approx (1 - 0.98775) \cdot 145366.45 \approx 1779\) feet.

Answer. Pressure altitude is about 1,779 feet.

Tips and common mistakes

  • Use the correct pressure reading, not altimeter setting, unless the tool specifically asks for that.
  • Check the units before calculating, since hPa and inHg are not the same.
  • Pressure altitude can be higher than field elevation on low-pressure days and lower on high-pressure days.
  • Small input errors can change the result, so enter the pressure carefully.

Frequently asked questions

What is pressure altitude?+

The height above the standard 1013.25 hPa datum where that pressure occurs in the standard atmosphere.

Why do pilots use it?+

Aircraft engine and aerodynamic performance depend on air density, which tracks pressure altitude.

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