🌊 cm²/s to m²/s — Square Centimeter/Second to Square Meter/Second Converter

Convert kinematic viscosity units — m²/s, Stokes, centistokes, ft²/s and more.

1 unit =
From
To
Formula 1 cm²/s = 0.0001 m²/s
UnitNameValue
m²/s Square Meter/Second 0.0001
St Stokes 1
cSt Centistokes 100
ft²/s Square Foot/Second 0.0010763915
in²/s Square Inch/Second 0.15500031

Quick Answer

Formula: m²/s = cm²/s × 0.0001

Multiply any cm²/s value by 0.0001 to get m²/s.

Reverse: cm²/s = m²/s × 1e+04

Water reference (20°C): 0.01004 cm²/s = 1.0040e-6 m²/s

Worked Examples

Water (1 cSt)
0.01004 cm²/s × 0.0001 = 1.0040e-6 m²/s
Water (1 cSt)
Air (~15 cSt)
0.15 cm²/s × 0.0001 = 1.5000e-5 m²/s
Air (~15 cSt)
SAE 30 oil (~100 cSt)
1 cm²/s × 0.0001 = 0.0001 m²/s
SAE 30 oil (~100 cSt)
Glycerin (~1410 cSt)
14.1 cm²/s × 0.0001 = 0.00141 m²/s
Glycerin (~1410 cSt)

Kinematic Viscosity of Common Fluids

Values at ~20°C unless noted. Factor: 1 cm²/s = 0.0001 m²/s

cm²/s (cm²/s)m²/s (m²/s)Fluid
0.00015 cm²/s1.500e-08 m²/sAir (20°C)
0.005 cm²/s5.000e-07 m²/sPetrol (gasoline)
0.01004 cm²/s1.004e-06 m²/sWater (20°C)
0.015 cm²/s1.500e-06 m²/sEthanol
0.03 cm²/s3.000e-06 m²/sDiesel fuel
0.35 cm²/s3.500e-05 m²/sSAE 10W motor oil
0.84 cm²/s8.400e-05 m²/sOlive oil
1 cm²/s1.000e-04 m²/sSAE 30 motor oil
1.8 cm²/s0.00018 m²/sSAE 90 gear oil
14.1 cm²/s0.00141 m²/sGlycerin (20°C)
50 cm²/s0.005 m²/sHoney
80 cm²/s0.008 m²/sMolasses
500 cm²/s0.05 m²/sTomato ketchup
2500 cm²/s0.25 m²/sPeanut butter
1.000e+19 cm²/s1.000e+15 m²/sGlass (room temp)

Mental Math Tricks

÷ 10000

cm²/s ÷ 10,000 = m²/s. Exact.

Key anchor

1 cm²/s = 10⁻⁴ m²/s. 0.01 cm²/s = 10⁻⁶ m²/s (water).

Reverse

m²/s × 10,000 = cm²/s.

Who Uses This Conversion?

Lubrication Engineer

Specifies lubricant viscosity grades in cSt at 40°C and 100°C per ISO VG and SAE standards.

Chemical Engineer

Uses kinematic viscosity in cSt for pipeline flow calculations, pump sizing, and heat exchanger design.

Petroleum Engineer

Measures crude oil and refined product viscosity in cSt for pipeline transport and refinery design.

Hydraulic Systems Engineer

Selects hydraulic fluids based on kinematic viscosity in cSt for pump compatibility and system efficiency.

Food Engineer

Characterizes food product viscosity (honey, sauces, oils) in cSt for process design and quality control.

Aerospace Engineer

Uses ft²/s or cSt for atmospheric kinematic viscosity in Reynolds number calculations for aircraft design.

Frequently Asked Questions

About cm²/s and m²/s

cm²/s (cm²/s)

Square centimeter per second (cm²/s) equals exactly 1 Stokes — the CGS unit of kinematic viscosity. The equivalence cm²/s = St makes this unit important in older fluid mechanics literature and some industrial applications.

cm²/s = St is used in petroleum engineering viscometers, some lubricant standards, and pre-SI fluid mechanics texts. Water at 20°C = 0.01 cm²/s = 0.01 St = 1 cSt. Honey ≈ 500–10,000 cSt = 5–100 cm²/s.

Interesting fact: The Stokes unit is named after Sir George Gabriel Stokes, the Irish physicist who derived Stokes' Law (1851) describing the drag force on a sphere moving through a viscous fluid — the foundational equation for falling-sphere viscometers still used today.

m²/s (m²/s)

Square meter per second (m²/s) is the SI unit of kinematic viscosity, defined as dynamic viscosity divided by fluid density. It measures how easily a fluid flows under gravity relative to its own inertia. The unit was formalized with SI in 1960.

m²/s values are very small for most fluids: water at 20°C ≈ 1×10⁻⁶ m²/s; air ≈ 1.5×10⁻⁵ m²/s; SAE 30 motor oil ≈ 1×10⁻⁴ m²/s. The large exponents make m²/s impractical for everyday use, which is why cSt and St are more common.

Interesting fact: Kinematic viscosity is the ratio ν = μ/ρ (dynamic viscosity ÷ density). A very viscous but dense fluid can have lower kinematic viscosity than a less viscous but very light fluid — which is why kinematic viscosity (not dynamic) governs flow by gravity.

About cm²/s to m²/s Conversion

Kinematic viscosity (ν = μ/ρ) measures how a fluid flows under gravity. The cSt is dominant in industry; m²/s is the SI unit; St and cm²/s are the CGS equivalents. Key anchor: water at 20°C ≈ 1 cSt = 10⁻⁶ m²/s = 0.01 St.

Exact factor: 1 cm²/s = 0.0001 m²/s. Reverse: 1 m²/s = 1e+04 cm²/s.

All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.