Centimeters Of Water to Atmospheres Converter

Convert centimeters of water to atmospheres with the exact factor 0.000967841, plus real reference values in both units.

Result in atmospheres
Adjust the inputs

Your result updates live as you type.

To convert centimeters of water to atmospheres, multiply by 0.0009678411054. That factor is the whole relationship: both units measure pressure, so the conversion is a proportion with no offset and no substance-specific constant.

The unit ventilator and CPAP pressures are set in. Standard atmospheric pressure by definition — 101,325 pascals exactly.

Gauge versus absolute. A tyre gauge reading 32 psi means 32 psi above atmospheric, which is about 46.7 psi absolute. Converting the number is straightforward; remembering which zero it was measured from is where the mistakes happen. N/mm² and MPa are the same size, so a drawing quoting either is quoting the same stress. The tables underneath give both a plain step-by-step lookup and a list of real quantities expressed in atmospheres, so you can sanity-check whether your answer is a plausible size.

The formula

atmospheres = centimeters of water × 0.000967841105354
centimeters of water
The amount you are converting, in centimeters of water
0.000967841105354
The exact number of atmospheres in one centimeter of water
atmospheres
The converted result

How it works, step by step

  1. Enter the value in centimeters of water.
  2. It is multiplied by 0.000967841105354, the exact factor between the two units.
  3. The answer is shown in atmospheres, with the reverse conversion beneath it.
  4. Check the reference table if you want a figure of comparable size.

Worked examples

A steam boiler: 1.02e+04 cmH₂O in atmospheres

At 1.02e+04 cmH₂O (a steam boiler), the same quantity in atmospheres is 1.02e+04 × 0.000967841 = 9.87198 atm. One centimeter of water is 0.000967841 atmospheres, so the numbers shrink as expected.

A car tyre: 2250 cmH₂O in atmospheres

At 2250 cmH₂O (a car tyre), the same quantity in atmospheres is 2250 × 0.000967841 = 2.17764 atm. One centimeter of water is 0.000967841 atmospheres, so the numbers shrink as expected.

How to read your score

0–0ZeroZero centimeters of water is zero atmospheres.
0–1Under one unitThe answer is less than one atmosphere.
1–1,000Everyday rangeA typical working figure in atmospheres.
1,000–—Large valueLarge enough that the exact figure below the gauge is easier to read than the gauge itself.

Frequently asked questions

How many atmospheres are in one centimeter of water?

Exactly 0.000967841105354. Every figure on this page is that one number multiplied by your input, so the only rounding is at the display step.

What is the formula to convert centimeters of water to atmospheres?

atmospheres = centimeters of water × 0.000967841105354. Reversed, centimeters of water = atmospheres ÷ 0.000967841105354, which is the same as multiplying by 1033.2274528.

Which is the bigger unit, the centimeter of water or the atmosphere?

The atmosphere. One centimeter of water is only 0.000967841 of a atmosphere, so it takes 1033.23 centimeters of water to make one atmosphere.

What does this quantity actually measure?

Both units measure pressure. That is why a single factor is enough: there is no temperature offset and no material property involved, unlike conversions that cross between different quantities.

What is a centimeter of water?

The unit ventilator and CPAP pressures are set in.

What is a atmosphere?

Standard atmospheric pressure by definition — 101,325 pascals exactly.

Why does my answer differ from another converter?

Almost always because the other tool rounded the factor before multiplying. This page keeps full double precision through the calculation and rounds only for display, and it prints the factor it used so you can see where any difference came from.

Is there a quick way to do cmH₂O to atm in my head?

Plenty of people do this in their head: divide by 1000 instead of using the exact factor 0.0009678411054. At 100 that shortcut gives 0.1 atmospheres, off by 0.003216 atmospheres or about 3.32%. Fine for a rough estimate, not fine for anything you are cutting to size or dosing.

Centimeters Of Water to atmospheres reference tables

Centimeters Of Water to atmospheres conversion table
Centimeters Of WaterAtmospheres
0.5 cmH₂O0.000483921 atm
1 cmH₂O0.000967841 atm
2 cmH₂O0.00193568 atm
3 cmH₂O0.00290352 atm
5 cmH₂O0.00483921 atm
10 cmH₂O0.00967841 atm
20 cmH₂O0.0193568 atm
25 cmH₂O0.024196 atm
50 cmH₂O0.0483921 atm
75 cmH₂O0.0725881 atm
100 cmH₂O0.0967841 atm
250 cmH₂O0.24196 atm
500 cmH₂O0.483921 atm
1000 cmH₂O0.967841 atm
5000 cmH₂O4.83921 atm

Exact factor: 1 centimeter of water = 0.000967841105354 atmospheres.

Real pressure figures in centimeters of water and atmospheres
QuantitycmH₂Oatm
Sea-level air1033 cmH₂O1 atm
A car tyre2250 cmH₂O2.177 atm
Blood pressure, systolic163.1 cmH₂O0.1579 atm
A bicycle tyre6328 cmH₂O6.124 atm
A domestic water main4079 cmH₂O3.948 atm
A steam boiler1.02e+04 cmH₂O9.869 atm

Published reference values, converted with the same factor this page uses.

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