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Sizes & Units

PSI to Feet of Head, and the Two Conversions That Do Not Exist

Convert psi, bar, kPa, atmospheres, torr, inches of mercury and metres of water, and turn any of them into head of a fluid at its own specific gravity.

Gauge pressure, the kind a dial reads with nothing connected showing zero.

Water columns are quoted at 4 °C, where water is densest. A hot-water system reads a few per cent low against these.

Water 1.00, seawater 1.025, diesel 0.85, petrol 0.72, 20% brine 1.15, glycol mix 1.07, mercury 13.6. Only the head lines use it.

N

For the question this page keeps being asked. A force alone is not a pressure — it needs the area it acts on.

in²

The contact patch the force actually presses on. Change this and the psi changes with it, which is the whole point.

Head of your fluid

69.2ft

The pressure divided by the weight of the fluid. Denser liquid, fewer feet for the same pressure — which is exactly why a pump curve in feet transfers between fluids and one in psi does not.

In pascals
206,842.72Pa

The SI base for all of this: one newton spread over one square metre. Everything below is this number divided by a constant.

In psi
30psi
In bar
2.06843bar

Defined as exactly 100 kPa, which makes it about 1.3% smaller than an atmosphere rather than equal to one.

In kilopascals
206.843kPa
In megapascals
0.206843MPa
In standard atmospheres
2.04138atm
In torr, or mmHg
1,551.448Torr

A millimetre of mercury. Blood pressure is in these, and so is every vacuum gauge above the fine range.

In millitorr, or microns
1,551,448mTorr

A thousandth of a torr, and the unit a vacuum pump is rated in. One millitorr is about 19 millionths of a psi, which is why the conversion looks so lopsided.

In inches of mercury
61.0806inHg

What an altimeter and a manifold gauge read. Standard sea-level pressure is 29.92 inHg absolute.

In inches of water
830.397inH₂O

The unit for duct static pressure and gas appliance manifolds, where a psi would be far too coarse a number to read.

In feet of water
69.2ftH₂O
In metres of water
21.0921mH₂O
In kgf per square centimetre
2.1092kgf/cm²

Still on plant nameplates across much of the world. Close enough to a bar that people treat them as equal, and they differ by just under 2%.

The same head in metres
21.0921m

What "psi to m head" is asking for. At specific gravity 1 this is simply the metres-of-water line above.

Pressure gained per foot of this fluid
0.4335psi/ft

The famous 0.433 for water, scaled by density. Multiply by the height of a column and you have the pressure at its base.

Feet of this fluid per psi
2.3067ft/psi

The reciprocal, and the one worth memorising: 2.31 ft of water to a psi. A three-storey building is about 13 psi of static loss on its own.

As an absolute pressure
44.6959psia

Gauge plus one standard atmosphere. Vacuum work, gas laws and compressor ratios all need absolute; a plumbing gauge does not.

As a share of a full vacuum
-204.14%

Only meaningful for a negative gauge pressure. A hundred per cent would be a perfect vacuum, which nothing reaches.

Your force, spread over your area
741.87psi

Newtons converted to pounds-force and divided by square inches. This line exists because "newtons to psi" is not a conversion: change the area and this number changes while the force does not.

That same force in kilopascals
5,115.01kPa

The metric route to the same thing: newtons over square metres, since a square inch is 0.00064516 m².

Area that force would need to make this pressure
24.729in²

Working the other way: the contact patch at which your force produces the pressure at the top of this page. Hidden when that pressure is zero, because then no area is small enough.

Energy this pressure holds per litre
206.84J

The nearest thing to "psi to joules" that is true: pressure times volume is energy, so a pascal is a joule per cubic metre and this is that per litre. Without a volume the question has no answer.

How to use this calculator

  1. Type your measured number into the Pressure input box and choose the matching unit from the In these units drop-down menu.
  2. Select or type the Specific gravity of the fluid if you are calculating head height, leaving it at 1.00 for plain water.
  3. Optionally enter a force and an area below to calculate mechanical pressure directly from physical dimensions.
  4. Read the instant conversions across bars, pascals, atmospheres, and head heights updated simultaneously across every unit.

Understanding Pressure Units and Conversions

Pressure is force distributed over an area, but in practical engineering and fluid mechanics, it is rarely measured that way directly. Instead, dials, sensors, and digital readouts tell us how hard a gas or liquid is pushing against a boundary. When you need to translate those readings across different standards, a pressure unit conversion calculator becomes essential for matching specifications on valves, pumps, and piping schematics. The underlying physics relies on pascals as the fundamental SI unit, where one pascal equals one newton per square metre. Because that unit is remarkably small for everyday industrial work, engineers and technicians rely on multiples like kilopascals and megapascals, or entirely different historical units such as bars, technical atmospheres, and pounds per square inch.

The confusion between these systems often arises from historical conventions rather than scientific necessity. Meteorologists prefer millibars or inches of mercury, hydraulic technicians work in psi or bar, and vacuum system operators measure in torr or millitorr to track fractional atmospheres. Converting between them requires precise constants rather than rough estimations. For instance, one standard atmosphere is defined exactly as 101,325 pascals, while one psi equals approximately 6,894.76 pascals. When you input a value, every other unit on the reference list is derived by dividing your starting pressure in pascals by that unit's specific conversion factor.

The Mechanics of Fluid Head and Specific Gravity

One of the most frequent challenges in fluid dynamics is moving between static pressure and the vertical column of liquid that creates it, known as head. A psi to head conversion allows pump operators to determine how high a given pressure can lift a column of liquid before gravity halts its ascent. For pure water at its densest temperature of 4 degrees Celsius, every foot of vertical height exerts roughly 0.4335 psi of pressure at the base, meaning it takes about 2.3067 feet of water to generate a single psi of gauge pressure. This relationship forms the foundation of total head calculations in water supply and drainage systems.

However, water is rarely isolated in pure form within industrial applications, which makes the Specific gravity of the fluid a vital input for accurate results. Seawater is denser at around 1.025, glycol cooling mixes sit near 1.07, heavy brine solutions reach 1.15, and liquid mercury has a specific gravity of 13.6. A psi to meters of head calculation must scale inversely with this density multiplier. If you pump a fluid that is denser than water, a given pressure will support a shorter vertical column because each foot of that denser liquid weighs more and accumulates pressure faster. Ignoring this density factor leads to severely misjudged pump performance curves and inadequate system head requirements.

Specialized industries require units that span immense orders of magnitude. In high-vacuum environments found in semiconductor manufacturing and scientific instrumentation, standard pressure units are far too coarse. Operators rely on torr and millitorr to psi equivalents to track pressures approaching a perfect vacuum. One torr equals one millimeter of mercury, representing a tiny fraction of a standard atmosphere. As systems pull deeper vacuums, tracking the percentage of full vacuum becomes a clearer way to communicate performance than reading extremely small decimal values of pascals.

At the opposite end of the spectrum, mechanical engineers working with hydraulic presses or structural loads frequently need to verify force against surface area. A force acting on a small contact patch generates immense localized pressure, while the same force spread over a broad plate creates negligible stress. This is also where a psi to joules request comes unstuck: a pascal is a joule per cubic metre, so a pressure only becomes an energy once a volume is named. That is why a hydraulic line, whose oil barely compresses, holds very little energy at 3,000 psi, while a gas receiver of the same volume at the same pressure holds enough to be treated as a hazard in its own right.

Where a pressure unit conversion calculator goes wrong

Even the most precise mathematical conversion can fail if the underlying physical assumptions do not match reality. Temperature fluctuations alter fluid density and viscosity, meaning a hot-water system will read a few per cent lower in head pressure than a cold-water baseline calculated at standard conditions. Furthermore, mechanical pressure gauges suffer from calibration drift, hysteresis, and mounting orientation errors. A dial gauge mounted horizontally on a vertical pipe may register a slight offset simply due to the weight of the internal mechanical linkage acting against gravity.

Another common pitfall involves confusing total dynamic head with static head during pump selection. A proper pressure head conversion must account for friction losses through pipe walls, valves, and fittings, which consume energy that would otherwise contribute to lifting height. When sizing industrial pumping equipment, relying solely on static head calculations without adding friction losses will result in an underpowered pump that fails to meet required flow rates at the discharge point. Always consult manufacturer pump curves and certified hydraulic engineers for critical installations where equipment failure carries safety or financial risks.

Unit NameSymbolPascals (Pa)Common Application
Pound per square inchpsi6,894.76Hydraulics, tires, pneumatics
Barbar100,000.00Industrial pumps, plumbing
KilopascalkPa1,000.00HVAC, structural engineering
Standard atmosphereatm101,325.00Aviation, meteorology, physics
TorrTorr133.32Vacuum systems, medical devices
Metres of watermH2O9,806.65Water supply, civil engineering

The formula

every conversion is pascals ÷ the unit constant; 1 psi = 6894.757293 Pa exactlyhead h = p ÷ (ρ g), which in practice is pressure ÷ (2989.0669 × specific gravity) for feetwater gives 0.4335 psi per foot and 2.3067 feet per psi; other fluids scale with densityforce ÷ area is a pressure — a force on its own is not, and neither is a pressure an energy

Frequently asked questions

What is the difference between gauge pressure and absolute pressure?

Gauge pressure measures the level above the surrounding atmospheric pressure, setting ambient air as zero. Absolute pressure includes the atmospheric weight itself, measured from a complete vacuum. To convert a gauge reading to absolute pressure, you simply add approximately 14.7 psi to your starting value.

Why does fluid specific gravity change head calculations?

Fluid head measures the vertical height of a liquid column supported by a given pressure. Because denser liquids weigh more per cubic foot, a heavier fluid generates more pressure per unit of height than water. Consequently, fluids with a higher specific gravity require fewer vertical feet to produce the exact same pressure reading.

How do I convert psi to feet of head for water?

For clear water at standard temperatures, every psi of pressure supports approximately 2.307 feet of vertical column height. Conversely, every vertical foot of water exerts 0.4335 psi of pressure at the base of the column. You can multiply your psi reading by 2.3067 to find the corresponding head in feet.

Can I calculate pressure directly from a known force and area?

Yes, pressure is defined as force divided by the surface area over which that force acts. Entering a physical force and contact area into the dedicated fields will instantly compute the resulting pressure in psi and kilopascals. This is particularly useful for verifying mechanical stress on structural pads and hydraulic piston faces.

Why do hot water systems read lower pressure than cold water standards?

Standard water columns and conversion constants are calibrated at 4 degrees Celsius where water reaches its maximum density. As water heats up, it expands and its density decreases slightly. This minor reduction in density means a hot-water system will generate marginally less pressure per foot of head than a cold-water baseline.

Sources

Last reviewed . Results are for general guidance and are not professional advice.