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Watts/centimeter/°C to Btu (it) Feet/hour/sq. foot/°F Converter (W/(cm·°C) to Btu·ft/(h·ft²·°F))

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1 Watt/centimeter/°C = 57.77892052 BTU (IT) foot/hour/sq. foot/°F
1 W/(cm·°C) = 57.778921 Btu·ft/(h·ft²·°F) • 1 Btu·ft/(h·ft²·°F) = 0.0173074 W/(cm·°C)
Watt/centimeter/°C to BTU (IT) foot/hour/sq. foot/°F: One Watt/centimeter/°C is equal to 57.77892052 Btu (it) Feet/hour/sq. foot/°F.
Certified Authority Value
57.77892052
Btu·ft/(h·ft²·°F)
Exact: 1 Btu·ft/(h·ft²·°F) ≡ 0.01730735 W/(cm·°C)
W/(cm·°C)
W/(cm·°C)
Swap to BTU (IT) foot/hour/sq. foot/°F to Watt/centimeter/°C
Swap to BTU (IT) foot/hour/sq. foot/°F to Watt/centimeter/°C
Btu·ft/(h·ft²·°F)
Btu·ft/(h·ft²·°F) 57.77892052
Quick Values:
Conversion Formula
To convert Watt/centimeter/°C to BTU (IT) foot/hour/sq. foot/°F, multiply by 57.77892052
W/(cm·°C) × 57.77892052 = Btu·ft/(h·ft²·°F)

Calculation: 1 W/(cm·°C) × 57.77892052 = 57.77892052 Btu·ft/(h·ft²·°F)

Common Watt/centimeter/°C to BTU (IT) foot/hour/sq. foot/°F Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/centimeter/°C (W/(cm·°C)) and BTU (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)).

Tap any row to calculate
Watt/centimeter/°C to BTU (IT) foot/hour/sq. foot/°F: Primary Direct Table (15 Steps)
Watt/centimeter/°C to BTU (IT) foot/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(cm·°C) 0.0577789 Btu·ft/(h·ft²·°F) 5.778 × 10⁻²
0.01 W/(cm·°C) 0.577789 Btu·ft/(h·ft²·°F) 5.778 × 10⁻¹
0.1 W/(cm·°C) 5.777892 Btu·ft/(h·ft²·°F) 5.778 × 10⁰
0.5 W/(cm·°C) 28.88946 Btu·ft/(h·ft²·°F) 2.889 × 10¹
1 W/(cm·°C) 57.778921 Btu·ft/(h·ft²·°F) 5.778 × 10¹
2 W/(cm·°C) 115.557841 Btu·ft/(h·ft²·°F) 1.156 × 10²
5 W/(cm·°C) 288.894603 Btu·ft/(h·ft²·°F) 2.889 × 10²
10 W/(cm·°C) 577.789205 Btu·ft/(h·ft²·°F) 5.778 × 10²
20 W/(cm·°C) 1155.57841 Btu·ft/(h·ft²·°F) 1.156 × 10³
25 W/(cm·°C) 1444.473013 Btu·ft/(h·ft²·°F) 1.444 × 10³
50 W/(cm·°C) 2888.946026 Btu·ft/(h·ft²·°F) 2.889 × 10³
100 W/(cm·°C) 5777.892052 Btu·ft/(h·ft²·°F) 5.778 × 10³
250 W/(cm·°C) 14444.730129 Btu·ft/(h·ft²·°F) 1.444 × 10⁴
500 W/(cm·°C) 28889.460258 Btu·ft/(h·ft²·°F) 2.889 × 10⁴
1000 W/(cm·°C) 57778.920516 Btu·ft/(h·ft²·°F) 5.778 × 10⁴
BTU (IT) foot/hour/sq. foot/°F to Watt/centimeter/°C: Reciprocal Summary
BTU (IT) foot/hour/sq. foot/°F to Watt/centimeter/°C Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu·ft/(h·ft²·°F) 0.0173074 W/(cm·°C) 1.731 × 10⁻²
5 Btu·ft/(h·ft²·°F) 0.0865368 W/(cm·°C) 8.654 × 10⁻²
10 Btu·ft/(h·ft²·°F) 0.173074 W/(cm·°C) 1.731 × 10⁻¹
50 Btu·ft/(h·ft²·°F) 0.865368 W/(cm·°C) 8.654 × 10⁻¹
100 Btu·ft/(h·ft²·°F) 1.730735 W/(cm·°C) 1.731 × 10⁰
View Complete 15-Row BTU (IT) foot/hour/sq. foot/°F to Watt/centimeter/°C 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/°C (W/(cm·°C)) and BTU (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)):

Watt/centimeter/°C References:

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

BTU (IT) foot/hour/sq. foot/°F References:

  • Stationary atmospheric dry air thermal conductivity at sea level 0.015023 Btu·ft/(h·ft²·°F)
  • Commercial fiberglass building insulation batt thermal conductivity 0.023112 Btu·ft/(h·ft²·°F)
  • Liquid drinking water thermal conductivity at room temperature 0.346674 Btu·ft/(h·ft²·°F)
  • Architectural structural concrete wall thermal conductivity 0.866684 Btu·ft/(h·ft²·°F)

Tap any benchmark above to automatically calculate its exact equivalent in BTU (IT) foot/hour/sq. 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/°C to BTU (IT) foot/hour/sq. foot/°F

Converting Watt/centimeter/°C (W/(cm·°C)) to BTU (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°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/°C equals 57.778921 BTU (IT) foot/hour/sq. foot/°F, while 1 Btu·ft/(h·ft²·°F) equals 0.0173074 W/(cm·°C).

Direct Factor1 W/(cm·°C) = 57.778921 Btu·ft/(h·ft²·°F)
Inverse Ratio1 Btu·ft/(h·ft²·°F) = 0.0173074 W/(cm·°C)
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:

Vtarget=Vsource×(ksource→SIktarget→SI)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 (ksource):1 W/(cm·°C) = 100 watt per meter kelvin (W/(m·K))
2. Target SI Bridge (ktarget):1 Btu·ft/(h·ft²·°F) = 1.730735 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Watt/centimeter/°C → BTU (IT) foot/hour/sq. foot/°F:V(Btu·ft/(h·ft²·°F)) = V(W/(cm·°C)) × ( 100 / 1.730735 ) = V(W/(cm·°C)) × 57.778921
Mathematical FormulaValue in BTU (IT) foot/hour/sq. foot/°F = Value in Watt/centimeter/°C × 57.77892052Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 36 W/(cm·°C), applying the conversion factor yields exactly 2080.041139 Btu·ft/(h·ft²·°F). At larger operational scale, 100 Watt/centimeter/°C corresponds to 5777.892052 Btu·ft/(h·ft²·°F).

Inverse check: 1 Btu·ft/(h·ft²·°F) = 0.0173074 W/(cm·°C).

Understanding Watt/centimeter/°C and BTU (IT) foot/hour/sq. foot/°F

Watt/centimeter/°C

W/(cm·°C)
Standard Unit

A Watt/centimeter/°C (W/(cm·°C)) is a recognized unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a stationary atmospheric dry air thermal conductivity at sea level equals 0.00026 W/(cm·°C), a commercial fiberglass building insulation batt thermal conductivity equals 0.0004 W/(cm·°C), a liquid drinking water thermal conductivity at room temperature equals 0.006 W/(cm·°C).

Physical Setup

A physical magnitude of 1 W/(cm·°C) corresponds to 100 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 W/(cm·°C) = 100 W/(m·K)

BTU (IT) foot/hour/sq. foot/°F

Btu·ft/(h·ft²·°F)
Imperial / US

A BTU (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)) is an imperial and US customary unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a stationary atmospheric dry air thermal conductivity at sea level equals 0.015023 Btu·ft/(h·ft²·°F), a commercial fiberglass building insulation batt thermal conductivity equals 0.023112 Btu·ft/(h·ft²·°F), a liquid drinking water thermal conductivity at room temperature equals 0.346674 Btu·ft/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu·ft/(h·ft²·°F) corresponds to 1.730735 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu·ft/(h·ft²·°F) = 1.730735 W/(m·K)

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].

q" = k × ∇T
Vector: [W/(m·K)] × [K/m] → [W/m²]
Live Calculated Bridge Equivalent:
1 W/(cm·°C) 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
20
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
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 W/(cm·°C) × 100 = 100 W/(m·K)
  2. 2. Apply Engineering Parameter (∇T):
    Selected condition: Insulated Wall Core (20K across 0.1m = 200 K/m) at ∇T = 200 K/m
  3. 3. Execute Governing Physical Law in SI Units:
    q" = k × ∇T = (100 W/(m·K)) × (200 K/m) = 20000 W/m²
  4. 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
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Frequently Asked Questions

There are exactly 57.77892052 btu (it) feet/hour/sq. foot/°f (Btu·ft/(h·ft²·°F)) in 1 watt/centimeter/°c (W/(cm·°C)). To calculate larger amounts manually, simply multiply your total number of watts/centimeter/°c by the conversion multiplier of 57.77892052.

The mathematical formula to convert watts/centimeter/°c to btu (it) feet/hour/sq. foot/°f is: [value] * 57.77892052 = btu (it) feet/hour/sq. 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 btu (it) feet/hour/sq. foot/°f back to watts/centimeter/°c, you must divide your starting value by 57.77892052. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (it) foot/hour/sq. foot/°f input field.

1 Watt/centimeter/°C is larger than 1 BTU (IT) foot/hour/sq. foot/°F. Specifically, 1 Watt/centimeter/°C equals exactly 57.77892052 btu (it) feet/hour/sq. foot/°f, making it 57.7789 times larger (a difference of 1.76 orders of magnitude). Therefore, quantities expressed in btu (it) feet/hour/sq. foot/°f require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Watt/centimeter/°C converts to 57.77892052 btu (it) feet/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.