Viscosity converter — cP, Pa·s, poise, cSt and stokes

Pick two viscosity units of the same kind, dynamic or kinematic, and the converter gives the value plus a table of every unit of that kind; it explains rather than guesses when you mix the two.

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1 centipoise (cP) =0.001 Pa·s

1 centipoise (cP) in every dynamic viscosity unit

UnitValue
Pa·s0.001
mPa·s1
poise (P)0.01
centipoise (cP)1
micropoise (µP)10,000
lbf·s/ft²0.000020885434
lb/(ft·s)0.000671968975
reyn (lbf·s/in²)0.000000145038

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How to use the viscosity converter

  1. Enter the viscosity in Value.
  2. In From, choose the unit. Each option shows its kind in brackets, for example “centipoise (cP) (dynamic viscosity)”.
  3. In To, choose a unit of the same kind.
  4. Read the answer and the table of every unit of that kind. If you choose one dynamic and one kinematic unit, the tool shows a note explaining ν = μ/ρ instead of a number.

What it does and when to use it

Viscosity is a fluid’s resistance to flow, and it comes in two forms. Dynamic (absolute) viscosity, μ, is measured in Pa·s, poise or centipoise. Rotational viscometers, paint, food and adhesive datasheets usually give this. Kinematic viscosity, ν, is dynamic viscosity divided by density, and is measured in m²/s, stokes or centistokes. Lubricating and hydraulic oils, fuels and flow-cup tests usually give this.

This converter covers eight dynamic and eight kinematic units in one place, and refuses to mix them because that would need the density. Get the density from a datasheet, using the density converter if it is in other units, then divide. There are also separate pages for each kind: the dynamic viscosity converter and the kinematic viscosity converter.

How it works

Each unit is a multiple of its kind’s SI base unit. The result is value × from-factor ÷ to-factor.

Dynamic unit Pa·s Kinematic unit m²/s
mPa·s, cP 0.001 mm²/s, cSt 0.000001
poise 0.1 stokes, cm²/s 0.0001
micropoise 0.0000001 ft²/s 0.09290304
lb/(ft·s) 1.48816394357 ft²/h 0.0000258064
lbf·s/ft² 47.8802589803 in²/s 0.00064516
reyn 6,894.75729317

The imperial factors are built from the exact pound, foot, inch and standard gravity.

Worked examples

Water-like fluid. 1 cP = 0.001 Pa·s, also shown as 1 mPa·s and 0.01 poise.

Hydraulic oil. ISO VG 46 oil is graded around 46 cSt at 40 °C. 46 cSt = 0.46 stokes (St), or 46 mm²/s.

Mixing kinds. Asking for 1 cP in cSt returns a note that kinematic = dynamic ÷ density (ν = μ/ρ) and that 1 cP of water at about 20 °C is roughly 1.002 cSt.

Limits and tips

  • Always note the temperature with a viscosity figure; the unit change does not adjust for it.
  • Non-Newtonian fluids such as paint, ketchup or drilling mud have a viscosity that depends on shear rate, so one number tells only part of the story.
  • Flow-cup seconds and SUS (Saybolt) are empirical scales, not units, and are not converted here.

Frequently asked questions

How do I convert centipoise to centistokes?
Divide by the fluid's density in g/cm³. cSt = cP ÷ density. Water at about 20 °C has a density close to 0.998 g/cm³, so 1 cP is about 1.002 cSt. Oil with a density of 0.87 g/cm³ and 100 cP is about 115 cSt. The tool will not do this step for you, because it needs the density.
Is 1 cP equal to 1 mPa·s?
Yes, exactly. A poise is 0.1 Pa·s, so a centipoise is 0.001 Pa·s, which is one millipascal-second. Many datasheets use the two interchangeably.
Is 1 cSt equal to 1 mm²/s?
Yes, exactly. A stokes is 1 cm²/s, and a centistokes is 0.01 cm²/s, which is 1 mm²/s.
What is a reyn?
An imperial unit of dynamic viscosity, one pound-force second per square inch. It is very large, about 6,894,757 cP, and is used mainly in bearing lubrication work.
Why does my oil's viscosity number change with temperature?
Viscosity falls sharply as liquids warm up. That is why oil grades quote a temperature, often 40 °C and 100 °C. Always compare figures at the same temperature.

Sources

  1. NIST Guide to the SI, Appendix B.8: Factors for units listed alphabetically — NIST, accessed 2026-10-08

Written by the ToolsRift team · Last updated

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