Centipoise to Pascal-Seconds Converter (cP ↔ Pa·s)
Convert dynamic viscosity between centipoise (cP) and pascal-seconds (Pa·s). Professional cP to Pa·s converter with support for Poise, mPa·s, typical fluid presets, formulas and explanations.
Dynamic viscosity conversion
Enter a cP or Pa·s value, then use the Convert button or let the fields synchronize automatically via the presets.
How to Use This Converter
Choose whether you want to provide the viscosity in centipoise (cP) or pascal-seconds (Pa·s), type a numeric value and click Convert. The results card shows the converted units plus a textual summary, while the presets quickly load representative viscosities.
- Pick the input field that matches your known unit (cP or Pa·s) so the calculator uses the correct source value.
- Enter integers or decimals (for example 1, 0.89 or 1250). The tool accepts small and large values with automatic rounding.
- Press Convert or wait for the auto-update after you type. The converted units remain synchronized as you edit.
- Use the preset buttons to load typical fluid viscosities, then hit Convert to verify the equivalent Pa·s, Poise and millipascal-second values.
Methodology
The relationships between cP, Pa·s, P and mPa·s are exact unit definitions rooted in SI and CGS systems. This calculator applies those definitions with consistent rounding so the numbers always align with engineering and laboratory references.
| Unit | Symbol | In Pa·s | In cP |
|---|---|---|---|
| Pascal-second | Pa·s | 1 | 1000 cP |
| Poise | P | 0.1 Pa·s | 100 cP |
| Centipoise | cP | 0.001 Pa·s | 1 cP |
| Millipascal-second | mPa·s | 0.001 Pa·s | 1 cP (numerically equal) |
Key relationships
1 P = 0.1 Pa·s
1 cP = 0.01 P = 0.001 Pa·s
1 Pa·s = 10 P = 1000 cP
1 mPa·s = 0.001 Pa·s
Conversion formulas
Pa·s = cP × 0.001
cP = Pa·s × 1000
P = Pa·s × 10
mPa·s = Pa·s × 1000
Dynamic vs kinematic viscosity (cP vs cSt)
Dynamic viscosity quantifies how fluids resist shear, while kinematic viscosity describes that resistance per unit density. The converter keeps the dynamic-viscosity values consistent so you can share data across metrics.
Kinematic viscosity
ν = μ / ρ, where ν is kinematic viscosity, μ is dynamic viscosity and ρ is density.
For water-like fluids near 1 g/cm³, cP and cSt values are often numerically similar, but this tool assumes only dynamic viscosity.
Worked example: 75 cP to Pa·s and P
- Start with μ = 75 cP.
- Convert to Pa·s: Pa·s = 75 × 0.001 = 0.075 Pa·s.
- Convert to poise: P = Pa·s × 10 = 0.75 P.
- Entering
75cP produces 0.075 Pa·s, 0.75 P and 75 mPa·s (equal numerically to 75 cP).
FAQ: using the cP to Pa·s converter
Why do mPa·s and cP often have the same numeric value?
Because both 1 cP and 1 mPa·s equal 0.001 Pa·s, their numeric values are identical despite belonging to different unit systems.
How accurate are the conversions?
The relationships between cP, P, Pa·s and mPa·s are exact unit definitions, so only display rounding affects the output. Internally we keep full precision for engineering and lab use.
Where are these units used?
Centipoise is common in chemical, petroleum and food industries. Pascal-seconds is the SI unit favored by scientific research, rheology and CFD. Poise and millipascal-seconds appear across historical and modern references.
Full original guide (expanded)
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Browse all conversion toolsAudit and verification
Audit: complete. Verified by Ugo Candido on 2026-01-19. The formulas and references below are derived from the audited spec for this converter.