Watts/centimeter/kelvin to Btus/hour/foot/°F Converter (W/(cm·K) to Btu/(h·ft·°F))

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Live Conversion • ISO 80000-5:2019 Certified

1 Watt/centimeter/kelvin = 57.7789 Btu/hour/foot/°F

1 W/(cm·K) = 57.7789 Btu/(h·ft·°F) • 1 Btu/(h·ft·°F) = 0.0173074 W/(cm·K)

Decimals:

Certified Authority Value

57.77890000

Btu/(h·ft·°F)

From / Input

W/(cm·K)

Swap to Btu/hour/foot/°F to Watt/centimeter/kelvin

To / Result

Btu/(h·ft·°F)

Quick Values:

Conversion Formula

To convert Watt/centimeter/kelvin to Btu/hour/foot/°F, multiply by 57.7789

W/(cm·K) × 57.7789 = Btu/(h·ft·°F)

Calculation: 1 W/(cm·K) × 57.7789 = 57.7789 Btu/(h·ft·°F)

Common Watt/centimeter/kelvin to Btu/hour/foot/°F Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/centimeter/kelvin (W/(cm·K)) and Btu/hour/foot/°F (Btu/(h·ft·°F)).

Tap any row to calculate

Watt/centimeter/kelvin to Btu/hour/foot/°F: Primary Direct Table (15 Steps)

Rule: 1 Watt/centimeter/kelvin is equal to 57.7789 Btu/(h·ft·°F) (Btu/hour/foot/°F)

Watt/centimeter/kelvin to Btu/hour/foot/°F Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 W/(cm·K) 0.0577789 Btu/(h·ft·°F)	5.778 × 10⁻²
0.01 W/(cm·K) 0.577789 Btu/(h·ft·°F)	5.778 × 10⁻¹
0.1 W/(cm·K) 5.77789 Btu/(h·ft·°F)	5.778 × 10⁰
0.5 W/(cm·K) 28.88945 Btu/(h·ft·°F)	2.889 × 10¹
1 W/(cm·K) 57.7789 Btu/(h·ft·°F)	5.778 × 10¹
2 W/(cm·K) 115.5578 Btu/(h·ft·°F)	1.156 × 10²
5 W/(cm·K) 288.8945 Btu/(h·ft·°F)	2.889 × 10²
10 W/(cm·K) 577.789 Btu/(h·ft·°F)	5.778 × 10²
20 W/(cm·K) 1155.578 Btu/(h·ft·°F)	1.156 × 10³
25 W/(cm·K) 1444.4725 Btu/(h·ft·°F)	1.444 × 10³
50 W/(cm·K) 2888.945 Btu/(h·ft·°F)	2.889 × 10³
100 W/(cm·K) 5777.89 Btu/(h·ft·°F)	5.778 × 10³
250 W/(cm·K) 14444.725 Btu/(h·ft·°F)	1.444 × 10⁴
500 W/(cm·K) 28889.45 Btu/(h·ft·°F)	2.889 × 10⁴
1000 W/(cm·K) 57778.9 Btu/(h·ft·°F)	5.778 × 10⁴

Btu/hour/foot/°F to Watt/centimeter/kelvin: Reciprocal Summary

Rule: 1 Btu/hour/foot/°F is equal to 0.0173074 W/(cm·K) (Watt/centimeter/kelvin)

Btu/hour/foot/°F to Watt/centimeter/kelvin Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 Btu/(h·ft·°F) 0.0173074 W/(cm·K)	1.731 × 10⁻²
5 Btu/(h·ft·°F) 0.0865368 W/(cm·K)	8.654 × 10⁻²
10 Btu/(h·ft·°F) 0.173074 W/(cm·K)	1.731 × 10⁻¹
50 Btu/(h·ft·°F) 0.865368 W/(cm·K)	8.654 × 10⁻¹
100 Btu/(h·ft·°F) 1.730736 W/(cm·K)	1.731 × 10⁰

View Complete 15-Row Btu/hour/foot/°F to Watt/centimeter/kelvin Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Watt/centimeter/kelvin (W/(cm·K)) and Btu/hour/foot/°F (Btu/(h·ft·°F)):

Watt/centimeter/kelvin References:

Stationary atmospheric dry air thermal conductivity at sea level 0.00026 W/(cm·K)
Commercial fiberglass building insulation batt thermal conductivity 0.0004 W/(cm·K)
Liquid drinking water thermal conductivity at room temperature 0.006 W/(cm·K)
Architectural structural concrete wall thermal conductivity 0.015 W/(cm·K)

Btu/hour/foot/°F References:

Stationary atmospheric dry air thermal conductivity at sea level 0.015023 Btu/(h·ft·°F)
Commercial fiberglass building insulation batt thermal conductivity 0.023112 Btu/(h·ft·°F)
Liquid drinking water thermal conductivity at room temperature 0.346673 Btu/(h·ft·°F)
Architectural structural concrete wall thermal conductivity 0.866684 Btu/(h·ft·°F)

Tap any benchmark above to automatically calculate its exact equivalent in Btu/hour/foot/°F.

ISQ Dimension: [M L T⁻³ Θ⁻¹] Coherent SI Unit: watt per meter kelvin (W/(m·K)) Thermodynamics & Heat Transfer

How to Convert Watt/centimeter/kelvin to Btu/hour/foot/°F

Converting Watt/centimeter/kelvin (W/(cm·K)) to Btu/hour/foot/°F (Btu/(h·ft·°F)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Watt/centimeter/kelvin equals 57.7789 Btu/hour/foot/°F, while 1 Btu/(h·ft·°F) equals 0.0173074 W/(cm·K).

Direct Factor1 W/(cm·K) = 57.7789 Btu/(h·ft·°F)

Inverse Ratio1 Btu/(h·ft·°F) = 0.0173074 W/(cm·K)

Conversion ScaleMetric SI to British Imperial / US Customary Bridge

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (watt per meter kelvin (W/(m·K))) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 W/(cm·K) = 100 watt per meter kelvin (W/(m·K))

2. Target SI Bridge (k_target):1 Btu/(h·ft·°F) = 1.730736 watt per meter kelvin (W/(m·K))

Step-by-step substitution for Watt/centimeter/kelvin → Btu/hour/foot/°F:V(Btu/(h·ft·°F)) = V(W/(cm·K)) × ( 100 / 1.730736 ) = V(W/(cm·K)) × 57.7789

Mathematical FormulaValue in Btu/hour/foot/°F = Value in Watt/centimeter/kelvin × 57.7789Direct computational formula applied for standard conversion.

Worked Example

Converting 250 W/(cm·K) yields an exact output of 14444.725 Btu/(h·ft·°F) in Btu/hour/foot/°F. Under higher industrial throughput, 100 W/(cm·K) translates to 5777.89 Btu/(h·ft·°F).

Inverse check: 1 Btu/(h·ft·°F) = 0.0173074 W/(cm·K).

Understanding Watt/centimeter/kelvin and Btu/hour/foot/°F

Domain Metrology & Engineering Applications

Governing Law & Equation

Fourier's Law of Heat Conduction (q = -k · ∇T)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using guarded hot plate apparatus (ASTM C177), laser flash thermal diffusivity analyzers, and transient plane source (TPS) sensors.

Primary Industry Sectors

Applied across thermal interface material (TIM) development, architectural insulation manufacturing, aerospace heat shield design, and refractory ceramics under international metrology standard ISO 80000-5:2019, ASTM C177.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASTM C177 and the BIPM SI Brochure (9th Edition). Governed by Fourier's Law of Heat Conduction (q = -k · ∇T) under ISO 80000 dimensional vector [M L T⁻³ Θ⁻¹].

Multi-Variable Engineering Bridge Heat Transfer & Conduction Physics

Thermal Conductivity to Heat Flux Density Bridge (W/m² • kW/m² • BTU/(h·ft²) • cal/(s·cm²))

Calculate Fourier conduction heat flux q" = k × ∇T across building envelopes and industrial heat exchangers, bridging thermal conductivity [M L T⁻³ Θ⁻¹] with heat flux density [M T⁻³].

Input Thermal Conductivity (k): W/(cm·K)

Select Temperature Gradient Through Wall (ΔT / L): 200 K/m

Governing Law: q" = k × ∇T

Vector: [W/(m·K)] × [K/m] → [W/m²]

Live Calculated Bridge Equivalent:

1 W/(cm·K) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 20000 W/m²

Equals 20 kW/m² • 6339.9679 BTU/(h·ft²) • 0.477692 cal/(s·cm²)

SI Heat Flux

20000

W/m²

Watts per Square Meter

Solar / Combustion

kW/m²

Kilowatts per Square Meter

US Building Envelope

6339.9679

BTU/(h·ft²)

BTU per Hour Sq. Foot

CGS Thermal

0.477692

cal/(s·cm²)

Calories per Second Sq. Cm

Meteorology

28.6667

Ly/min

Langley per Minute

Furnace Flux

0.02

MW/m²

Megawatts per Square Meter

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W/(m·K)):
k = 1 W/(cm·K) × 100 = 100 W/(m·K)
2. Apply Engineering Parameter (∇T):
Selected condition: Insulated Wall Core (20K across 0.1m = 200 K/m) at ∇T = 200 K/m
3. Execute Governing Physical Law in SI Units:
q" = k × ∇T = (100 W/(m·K)) × (200 K/m) = 20000 W/m²
4. Convert to Standard Engineering Units:
• W/m²: 20000 × 1 = 20000 W/m² (Watts per Square Meter) • kW/m²: 20000 × 0.001 = 20 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 20000 × 0.317 = 6339.9679 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 20000 × 2.3885 × 10⁻⁵ = 0.477692 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 20000 × 0.001433 = 28.6667 Ly/min (Langley per Minute) • MW/m²: 20000 × 1 × 10⁻⁶ = 0.02 MW/m² (Megawatts per Square Meter)

Explore Full Heat Flux Density Converter →

Engineering Substance / Operating Standard	Parameter Value (K/m)	Reference State / Condition	Typical Industrial & Engineering Application
Insulated Wall Core (20K across 0.1m = 200 K/m)	`200`	200 K/m	Standard residential fiberglass/mineral wool batt
Solid Brick Masonry (25K across 0.25m = 100 K/m)	`100`	100 K/m	Architectural structural brick veneer wall
Steam Boiler Tube Wall (100K across 0.005m = 20,000 K/m)	`20000`	20,000 K/m	Carbon steel heat recovery steam boiler tube
CPU Copper Heat Spreader (30K across 0.002m = 15,000 K/m)	`15000`	15,000 K/m	Semiconductor thermal interface heat spreader

Frequently Asked Questions

There are exactly 57.7789 btus/hour/foot/°f (Btu/(h·ft·°F)) in 1 watt/centimeter/kelvin (W/(cm·K)). To calculate larger amounts manually, simply multiply your total number of watts/centimeter/kelvin by the conversion multiplier of 57.7789.

The mathematical formula to convert watts/centimeter/kelvin to btus/hour/foot/°f is: [value] * 57.7789 = btus/hour/foot/°f. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from btus/hour/foot/°f back to watts/centimeter/kelvin, you must divide your starting value by 57.7789. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu/hour/foot/°f input field.

1 Watt/centimeter/kelvin is larger than 1 Btu/hour/foot/°F. Specifically, 1 Watt/centimeter/kelvin equals exactly 57.7789 btus/hour/foot/°f, making it 57.7789 times larger (a difference of 1.76 orders of magnitude). Therefore, quantities expressed in btus/hour/foot/°f require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Watt/centimeter/kelvin converts to 57.7789 btus/hour/foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.