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Physics

Altitude Pressure Calculator

P ≈ P₀ e^(-h/8500). Free online Altitude Pressure Calculator. Calculate altitude pressure online — fast, accurate, mobile-friendly, no signup needed.

Pressure (kPa)
56.266418

Derivation

  1. ├── 01Givenh_m = 5000
  2. ├── 02Formula101.325 × exp(-t / 8500)
  3. └── 03Compute Pressure (kPa)56.266418
Did you know?

Blaise Pascal showed in 1647 that pressure in a fluid depends only on depth, not container shape — the "hydrostatic paradox".

§01What is

Understanding the Altitude Pressure Calculator

The Altitude Pressure Calculator computes Pressure (kPa) from 1 input: altitude (m). P ≈ P₀ e^(-h/8500).

Physics is the toolkit for turning a real-world observation into a prediction. Whether it’s a falling object, a moving car, or a stressed beam, the equations here are the same ones every engineer relies on. The Altitude Pressure Calculator sits in that toolkit — it P ≈ P₀ e^(-h/8500). Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

101.325 × exp(-t / 8500)

Where

h_m
Altitude (m)
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Altitude (m) = 5000.

  1. 01Start by noting the input — Altitude (m): 5000.
  2. 02Substitute these values into the formula: 101.325 × exp(-t / 8500)
  3. 03Compute Pressure (kPa): the calculator returns 56.2664.
  4. 04Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Altitude Pressure Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Altitude (m) halved

h_m = 2500 (from 5000)

Keep every other input at its default and halve the altitude (m). See how pressure (kpa) responds.

  1. 01New Altitude (m): 2500
  2. 02Baseline Pressure (kPa): 56.2664
  3. 03New Pressure (kPa): 75.5063
  4. 04Pressure (kPa) increases by 34.2% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Altitude (m) doubled

h_m = 10000 (from 5000)

Keep every other input at its default and double the altitude (m). See how pressure (kpa) responds.

  1. 01New Altitude (m): 10000
  2. 02Baseline Pressure (kPa): 56.2664
  3. 03New Pressure (kPa): 31.2451
  4. 04Pressure (kPa) decreases by 44.5% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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