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Calories (th)/hour/cm² to Btus (th)/hour/sq. foot Converter (cal (th)/(h·cm²) to Btu(th)/(h·ft²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/hour/cm² = 3.68669208 Btu (th)/hour/sq. foot
1 cal (th)/(h·cm²) = 3.686692 Btu(th)/(h·ft²) • 1 Btu(th)/(h·ft²) = 0.271246 cal (th)/(h·cm²)
Calorie (th)/hour/cm² to Btu (th)/hour/sq. foot: One Calorie (th)/hour/cm² is equal to 3.68669208 Btus (th)/hour/sq. foot.
Certified Authority Value
3.68669208
Btu(th)/(h·ft²)
Exact: 1 Btu(th)/(h·ft²) ≡ 0.2712458695 cal (th)/(h·cm²)
cal (th)/(h·cm²)
cal (th)/(h·cm²)
Swap to Btu (th)/hour/sq. foot to Calorie (th)/hour/cm²
Swap to Btu (th)/hour/sq. foot to Calorie (th)/hour/cm²
Btu(th)/(h·ft²)
Btu(th)/(h·ft²) 3.68669208
Quick Values:
Conversion Formula
To convert Calorie (th)/hour/cm² to Btu (th)/hour/sq. foot, multiply by 3.68669208
cal (th)/(h·cm²) × 3.68669208 = Btu(th)/(h·ft²)

Calculation: 1 cal (th)/(h·cm²) × 3.68669208 = 3.68669208 Btu(th)/(h·ft²)

Common Calorie (th)/hour/cm² to Btu (th)/hour/sq. foot Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Calorie (th)/hour/cm² (cal (th)/(h·cm²)) and Btu (th)/hour/sq. foot (Btu(th)/(h·ft²)).

Tap any row to calculate
Calorie (th)/hour/cm² to Btu (th)/hour/sq. foot: Primary Direct Table (15 Steps)
Calorie (th)/hour/cm² to Btu (th)/hour/sq. foot Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(h·cm²) 0.00368669 Btu(th)/(h·ft²) 3.687 × 10⁻³
0.01 cal (th)/(h·cm²) 0.0368669 Btu(th)/(h·ft²) 3.687 × 10⁻²
0.1 cal (th)/(h·cm²) 0.368669 Btu(th)/(h·ft²) 3.687 × 10⁻¹
0.5 cal (th)/(h·cm²) 1.843346 Btu(th)/(h·ft²) 1.843 × 10⁰
1 cal (th)/(h·cm²) 3.686692 Btu(th)/(h·ft²) 3.687 × 10⁰
2 cal (th)/(h·cm²) 7.373384 Btu(th)/(h·ft²) 7.373 × 10⁰
5 cal (th)/(h·cm²) 18.43346 Btu(th)/(h·ft²) 1.843 × 10¹
10 cal (th)/(h·cm²) 36.866921 Btu(th)/(h·ft²) 3.687 × 10¹
20 cal (th)/(h·cm²) 73.733842 Btu(th)/(h·ft²) 7.373 × 10¹
25 cal (th)/(h·cm²) 92.167302 Btu(th)/(h·ft²) 9.217 × 10¹
50 cal (th)/(h·cm²) 184.334604 Btu(th)/(h·ft²) 1.843 × 10²
100 cal (th)/(h·cm²) 368.669208 Btu(th)/(h·ft²) 3.687 × 10²
250 cal (th)/(h·cm²) 921.673021 Btu(th)/(h·ft²) 9.217 × 10²
500 cal (th)/(h·cm²) 1843.346042 Btu(th)/(h·ft²) 1.843 × 10³
1000 cal (th)/(h·cm²) 3686.692084 Btu(th)/(h·ft²) 3.687 × 10³
Btu (th)/hour/sq. foot to Calorie (th)/hour/cm²: Reciprocal Summary
Btu (th)/hour/sq. foot to Calorie (th)/hour/cm² Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu(th)/(h·ft²) 0.271246 cal (th)/(h·cm²) 2.712 × 10⁻¹
5 Btu(th)/(h·ft²) 1.356229 cal (th)/(h·cm²) 1.356 × 10⁰
10 Btu(th)/(h·ft²) 2.712459 cal (th)/(h·cm²) 2.712 × 10⁰
50 Btu(th)/(h·ft²) 13.562293 cal (th)/(h·cm²) 1.356 × 10¹
100 Btu(th)/(h·ft²) 27.124587 cal (th)/(h·cm²) 2.712 × 10¹
View Complete 15-Row Btu (th)/hour/sq. foot to Calorie (th)/hour/cm² 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 Calorie (th)/hour/cm² (cal (th)/(h·cm²)) and Btu (th)/hour/sq. foot (Btu(th)/(h·ft²)):

Calorie (th)/hour/cm² References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 117.1 cal (th)/(h·cm²)
  • Clear sky direct midday summer sunlight striking sea level ground 86.0421 cal (th)/(h·cm²)
  • Human body resting thermal metabolic heat radiation to room 4.3021 cal (th)/(h·cm²)
  • Overcast winter day diffuse solar irradiance at sea level 8.6042 cal (th)/(h·cm²)

Btu (th)/hour/sq. foot References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 431.72 Btu(th)/(h·ft²)
  • Clear sky direct midday summer sunlight striking sea level ground 317.21 Btu(th)/(h·ft²)
  • Human body resting thermal metabolic heat radiation to room 15.8605 Btu(th)/(h·ft²)
  • Overcast winter day diffuse solar irradiance at sea level 31.7211 Btu(th)/(h·ft²)

Tap any benchmark above to automatically calculate its exact equivalent in Btu (th)/hour/sq. foot.

ISQ Dimension: [M T⁻³] Coherent SI Unit: watt per square meter (W/m²) Thermodynamics & Heat Transfer

How to Convert Calorie (th)/hour/cm² to Btu (th)/hour/sq. foot

Converting Calorie (th)/hour/cm² (cal (th)/(h·cm²)) to Btu (th)/hour/sq. foot (Btu(th)/(h·ft²)) is a core calculation in Heat Flux Density, which measures the rate of thermal energy transfer radiating or conducting through a unit area per second. 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 Calorie (th)/hour/cm² equals 3.686692 Btu (th)/hour/sq. foot, while 1 Btu(th)/(h·ft²) equals 0.271246 cal (th)/(h·cm²).

Direct Factor1 cal (th)/(h·cm²) = 3.686692 Btu(th)/(h·ft²)
Inverse Ratio1 Btu(th)/(h·ft²) = 0.271246 cal (th)/(h·cm²)
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 square meter (W/m²)) 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 cal (th)/(h·cm²) = 11.622222 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 Btu(th)/(h·ft²) = 3.15248 watt per square meter (W/m²)
Step-by-step substitution for Calorie (th)/hour/cm² → Btu (th)/hour/sq. foot:V(Btu(th)/(h·ft²)) = V(cal (th)/(h·cm²)) × ( 11.622222 / 3.15248 ) = V(cal (th)/(h·cm²)) × 3.686692
Mathematical FormulaValue in Btu (th)/hour/sq. foot = Value in Calorie (th)/hour/cm² × 3.68669208Direct computational formula applied for standard conversion.
Worked Example

Converting 8 cal (th)/(h·cm²) yields an exact output of 29.493537 Btu(th)/(h·ft²) in Btu (th)/hour/sq. foot. Under higher industrial throughput, 100 cal (th)/(h·cm²) translates to 368.669208 Btu(th)/(h·ft²).

Inverse check: 1 Btu(th)/(h·ft²) = 0.271246 cal (th)/(h·cm²).

Understanding Calorie (th)/hour/cm² and Btu (th)/hour/sq. foot

Calorie (th)/hour/cm²

cal (th)/(h·cm²)
Standard Unit

A Calorie (th)/hour/cm² (cal (th)/(h·cm²)) is a recognized unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solar constant extraterrestrial solar irradiance at top of atmosphere equals 117.1 cal (th)/(h·cm²), a clear sky direct midday summer sunlight striking sea level ground equals 86.0421 cal (th)/(h·cm²), a human body resting thermal metabolic heat radiation to room equals 4.3021 cal (th)/(h·cm²).

Physical Setup

A physical magnitude of 1 cal (th)/(h·cm²) corresponds to 11.622222 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 cal (th)/(h·cm²) = 11.622222 W/m²

Btu (th)/hour/sq. foot

Btu(th)/(h·ft²)
Imperial / US

A Btu (th)/hour/sq. foot (Btu(th)/(h·ft²)) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solar constant extraterrestrial solar irradiance at top of atmosphere equals 431.72 Btu(th)/(h·ft²), a clear sky direct midday summer sunlight striking sea level ground equals 317.21 Btu(th)/(h·ft²), a human body resting thermal metabolic heat radiation to room equals 15.8605 Btu(th)/(h·ft²).

Physical Setup

A physical magnitude of 1 Btu(th)/(h·ft²) corresponds to 3.15248 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu(th)/(h·ft²) = 3.15248 W/m²

Domain Metrology & Engineering Applications

Governing Law & Equation

Thermal Transmission Flux (q = Q̇ / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using Schmidt-Boelter heat flux gauges, differential thermopile foil transducers, and calibrated Gardon radiant gauges.

Primary Industry Sectors

Applied across rocket nozzle combustion chamber analysis, fire resistance testing (ASTM E119), furnace wall heat loss auditing, and hypersonic aerothermal design under international metrology standard ISO 80000-5:2019, ASME PTC 19.3.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASME PTC 19.3 and the BIPM SI Brochure (9th Edition). Governed by Thermal Transmission Flux (q = Q̇ / A) under ISO 80000 dimensional vector [M T⁻³].

Multi-Variable Engineering Bridge Thermal Radiation & Power Dissipation

Heat Flux Density to Total Thermal Power Bridge (Watts • Kilowatts • Megawatts • BTU/h • Horsepower)

Calculate total continuous heat dissipation power P = q" × A across surface barriers and exchangers, bridging heat flux density [M T⁻³] with thermal power [M L² T⁻³].

P = q" × A
Vector: [W/m²] × [m²] → [W]
Live Calculated Bridge Equivalent:
1 cal (th)/(h·cm²) at Industrial Hydronic Radiator Panel (8 m²) = 92.9778 W
Equals 0.09298 kW • 9.297778 × 10⁻⁵ MW • 0.1247 hp
SI Power
92.9778
W
Watts
Grid / Utility
0.09298
kW
Kilowatts
Power Plant
9.297778 × 10⁻⁵
MW
Megawatts
Mechanical Rating
0.1247
hp
Horsepower (Mechanical)
Metric Horsepower
0.1264
PS
Metric Horsepower (PS)
HVAC Thermal Rating
317.25
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 cal (th)/(h·cm²) × 11.62222222 = 11.62222222 W/m²
  2. 2. Apply Engineering Parameter (A):
    Selected condition: Industrial Hydronic Radiator Panel (8 m²) at A = 8 m²
  3. 3. Execute Governing Physical Law in SI Units:
    P = q" × A = (11.62222222 W/m²) × (8 m²) = 92.977778 W
  4. 4. Convert to Standard Engineering Units:
    • W: 92.977778 × 1 = 92.9778 W (Watts) • kW: 92.977778 × 0.001 = 0.09298 kW (Kilowatts) • MW: 92.977778 × 1 × 10⁻⁶ = 9.297778 × 10⁻⁵ MW (Megawatts) • hp: 92.977778 × 0.001341 = 0.1247 hp (Horsepower (Mechanical)) • PS: 92.977778 × 0.00136 = 0.1264 PS (Metric Horsepower (PS)) • BTU/h: 92.977778 × 3.4121 = 317.25 BTU/h (BTU per Hour)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
Residential Window Glazing (4 m²) 4 4.0 m² Double-pane exterior window glass aperture
Industrial Hydronic Radiator Panel (8 m²) 8 8.0 m² Convective space heating radiator surface
Shell & Tube Heat Exchanger (50 m²) 50 50.0 m² Industrial process fluid cooling bundle
Power Boiler Waterwall (200 m²) 200 200.0 m² Thermal power plant steam generator wall
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Frequently Asked Questions

There are exactly 3.68669208 btus (th)/hour/sq. foot (Btu(th)/(h·ft²)) in 1 calorie (th)/hour/cm² (cal (th)/(h·cm²)). To calculate larger amounts manually, simply multiply your total number of calories (th)/hour/cm² by the conversion multiplier of 3.68669208.

The mathematical formula to convert calories (th)/hour/cm² to btus (th)/hour/sq. foot is: [value] * 3.68669208 = btus (th)/hour/sq. foot. 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 (th)/hour/sq. foot back to calories (th)/hour/cm², you must divide your starting value by 3.68669208. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/hour/sq. foot input field.

1 Calorie (th)/hour/cm² is larger than 1 Btu (th)/hour/sq. foot. Specifically, 1 Calorie (th)/hour/cm² equals exactly 3.68669208 btus (th)/hour/sq. foot, making it 3.6867 times larger (a difference of 0.57 orders of magnitude). Therefore, quantities expressed in btus (th)/hour/sq. foot require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (th)/hour/cm² converts to 3.68669208 btus (th)/hour/sq. foot. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.