centipoises (cP) to pounds per foot-second (lb/(ft-s)) conversion

1 cP = 0.000671969 lb/(ft-s)lb/(ft-s)cP
Formula
1 cP = 0.000671969 lb/(ft-s)

Understanding centipoises to pounds per foot-second Conversion

The centipoise (cP) is the common metric-derived unit of dynamic viscosity, with water sitting near 1 cP. The pound per foot-second (lb/(ft·s)) is the US customary absolute-viscosity unit built from mass, length, and time, and it is large — one lb/(ft·s) equals roughly 1488 cP. Converting centipoises to pounds per foot-second is needed when fluid-mechanics problems in American textbooks and process software use the foot-pound-second (FPS) system, particularly in chemical and petroleum engineering flow calculations.

Conversion Formula

1 cP=0.000671969 lb/(ft-s)1\ \text{cP} = 0.000671969\ \text{lb/(ft-s)}

To convert centipoises to pounds per foot-second, multiply by this factor:

lb/(ft-s)=cP×0.000671969\text{lb/(ft-s)} = \text{cP} \times 0.000671969

Step-by-Step Example

Convert 25 centipoises to pounds per foot-second.

lb/(ft-s)=25×0.000671969=0.0167992 lb/(ft-s)\text{lb/(ft-s)} = 25 \times 0.000671969 = 0.0167992\ \text{lb/(ft-s)}

How to Convert centipoises to pounds per foot-second

Use this to move a metric viscosity reading into the US customary FPS system.

  1. Start with centipoises: Take the value in cP, for example 25 cP.
  2. Multiply by 0.000671969: This is the number of lb/(ft·s) in one centipoise.
  3. Work out the product: 25×0.000671969=0.016799225 \times 0.000671969 = 0.0167992.
  4. Give the answer: 25 centipoises equals about 0.0167992 pounds per foot-second.

centipoises to pounds per foot-second conversion table

centipoises (cP)pounds per foot-second (lb/(ft-s))
00
10.000671969
20.001343938
30.002015907
40.002687876
50.003359845
60.004031814
70.004703783
80.005375752
90.006047721
100.00671969
150.01007953
200.01343938
250.01679922
300.02015907
400.02687876
500.03359845
600.04031814
700.04703783
800.05375752
900.06047721
1000.0671969
1500.1007953
2000.1343938
2500.1679922
3000.2015907
4000.2687876
5000.3359845
6000.4031814
7000.4703783
8000.5375752
9000.6047721
10000.671969
20001.343938
30002.015907
40002.687876
50003.359845
100006.71969
2500016.79922
5000033.59845
10000067.1969
250000167.9922
500000335.9845
1000000671.969

What is the centipoise?

The centipoise (cP) is a CGS unit of dynamic (absolute) viscosity, equal to one hundredth of a poise. It is the most widely used practical viscosity unit in industry because water at about 20 °C has a viscosity of very nearly 1 cP.

Definition

One centipoise equals one hundredth of a poise, which in SI units is exactly one millipascal-second:

1 cP=0.001 Pa·s1\ \text{cP} = 0.001\ \text{Pa·s}

Since 1 P=0.1 Pa·s1\ \text{P} = 0.1\ \text{Pa·s} (the poise being defined as 1 gcm1s11\ \text{g}\,\text{cm}^{-1}\,\text{s}^{-1}), the centipoise is 10210⁻² of that, i.e. 1 cP=1 mPa·s1\ \text{cP} = 1\ \text{mPa·s} exactly. The unit is dimensionally mass per length per time.

Origin and History

The poise is named after the French physician and physiologist Jean Léonard Marie Poiseuille (1797–1869), who studied the flow of liquids (blood) through narrow tubes and formulated what became the Hagen–Poiseuille law. The centipoise arose as a convenient submultiple because water conveniently sits near 1 cP, making comparisons intuitive.

Law and Notable Facts

The centipoise is a CGS-derived unit and is not part of the SI, which prefers the pascal-second (Pa·s) or millipascal-second (mPa·s). Because 1 cP=1 mPa·s1\ \text{cP} = 1\ \text{mPa·s} exactly, conversion between the everyday industrial unit and the SI unit requires no arithmetic beyond a change of name — a coincidence that has helped the centipoise survive.

Real-World Examples and Conversions

Water at 20 °C is about 1.002 cP. Whole milk is roughly 3 cP, olive oil around 60–80 cP, and honey near 2,000–10,000 cP. SAE 30 motor oil at 20 °C is on the order of 200 cP. To convert, 500 cP=0.5 Pa·s=500 mPa·s500\ \text{cP} = 0.5\ \text{Pa·s} = 500\ \text{mPa·s}.

What is the pound per foot-second?

The pound per foot-second (lb/(ft·s)) is a unit of dynamic (absolute) viscosity in the English absolute (mass-based) system, where the pound is treated as a unit of mass (pound-mass). It is the FPS analogue of the poise, which is the gram per centimetre-second.

Definition

One pound per foot-second is the viscosity of mass one pound-mass flowing through one foot per second:

1 lb/(ft·s)=1.48816 Pa·s1\ \text{lb/(ft·s)} = 1.48816\ \text{Pa·s}

The exact value comes from 1 lb=0.45359237 kg1\ \text{lb} = 0.45359237\ \text{kg} and 1 ft=0.3048 m1\ \text{ft} = 0.3048\ \text{m}, giving 1 lb/(ft·s)=0.45359237/0.3048=1.4881639 Pa·s1\ \text{lb/(ft·s)} = 0.45359237 / 0.3048 = 1.4881639\ \text{Pa·s}. This is the pound-mass form and must not be confused with the gravitational pound-force-second per square foot, which is about 32.174 times larger.

Origin and History

This unit arises from the English absolute (or "poundal") system of mechanics, in which mass is the base quantity and force is the derived poundal. It appears in older engineering and chemical-engineering literature, particularly British texts, as a direct mass-based counterpart to the CGS poise.

Law and Notable Facts

It is not an SI unit. A useful relationship: 1 lb/(ft·s)=1,488.16 cP1\ \text{lb/(ft·s)} = 1{,}488.16\ \text{cP}, and the difference between this mass-based unit and the force-based lbf·s/ft² is exactly the standard gravitational conversion factor gc=32.17405g_c = 32.17405 (the ratio of pound-force to poundal).

Real-World Examples and Conversions

Water at 20 °C (0.001002 Pa·s0.001002\ \text{Pa·s}) is about 6.73×104 lb/(ft·s)6.73\times10^{-4}\ \text{lb/(ft·s)}. A fluid of 1 lb/(ft·s)=1.48816 Pa·s=1,488 cP1\ \text{lb/(ft·s)} = 1.48816\ \text{Pa·s} = 1{,}488\ \text{cP} is roughly as viscous as light honey. Motor oil around 0.2 Pa·s0.2\ \text{Pa·s} is about 0.134 lb/(ft·s)0.134\ \text{lb/(ft·s)}.

Frequently Asked Questions

How many pounds per foot-second are in one centipoise?

One centipoise equals about 0.000671969 lb/(ft·s), a small fraction because the FPS unit is much larger.

How many centipoises equal one pound per foot-second?

About 1488 centipoises make one lb/(ft·s), the reciprocal of the forward conversion factor.

What kind of unit is the pound per foot-second?

It is an absolute (dynamic) viscosity unit in the US customary foot-pound-second system, expressing mass flow resistance directly rather than through pound-force.

What is 25 cP in pounds per foot-second?

Multiply 25 by 0.000671969 to get about 0.0167992 lb/(ft·s).

In which fields is this conversion common?

It shows up in American chemical and petroleum engineering, where pipe-flow, pumping, and heat-transfer correlations are often written in FPS units.

Complete centipoises conversion table

cP
UnitResult
pascal-seconds (Pa-s)0.001 Pa-s
millipascal-seconds (mPa-s)1 mPa-s
poises (P)0.01 P
pound-force-seconds per square foot (lbf-s/ft2)0.00002088543 lbf-s/ft2
pounds per foot-second (lb/(ft-s))0.000671969 lb/(ft-s)