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Calories (it)/second/cm² to Btus (th)/second/sq. foot Converter (cal/(s·cm²) to Btu/(s·ft²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (IT)/second/cm² = 3.68915836 BTU (th)/second/sq. foot
1 cal/(s·cm²) = 3.689158 Btu/(s·ft²) • 1 Btu/(s·ft²) = 0.271065 cal/(s·cm²)
Calorie (IT)/second/cm² to BTU (th)/second/sq. foot: One Calorie (IT)/second/cm² is equal to 3.68915836 Btus (th)/second/sq. foot.
Certified Authority Value
3.68915836
Btu/(s·ft²)
Exact: 1 Btu/(s·ft²) ≡ 0.2710645362 cal/(s·cm²)
cal/(s·cm²)
cal/(s·cm²)
Swap to BTU (th)/second/sq. foot to Calorie (IT)/second/cm²
Swap to BTU (th)/second/sq. foot to Calorie (IT)/second/cm²
Btu/(s·ft²)
Btu/(s·ft²) 3.68915836
Quick Values:
Conversion Formula
To convert Calorie (IT)/second/cm² to BTU (th)/second/sq. foot, multiply by 3.68915836
cal/(s·cm²) × 3.68915836 = Btu/(s·ft²)

Calculation: 1 cal/(s·cm²) × 3.68915836 = 3.68915836 Btu/(s·ft²)

Common Calorie (IT)/second/cm² to BTU (th)/second/sq. foot Calculations

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

Tap any row to calculate
Calorie (IT)/second/cm² to BTU (th)/second/sq. foot: Primary Direct Table (15 Steps)
Calorie (IT)/second/cm² to BTU (th)/second/sq. foot Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal/(s·cm²) 0.00368916 Btu/(s·ft²) 3.689 × 10⁻³
0.01 cal/(s·cm²) 0.0368916 Btu/(s·ft²) 3.689 × 10⁻²
0.1 cal/(s·cm²) 0.368916 Btu/(s·ft²) 3.689 × 10⁻¹
0.5 cal/(s·cm²) 1.844579 Btu/(s·ft²) 1.845 × 10⁰
1 cal/(s·cm²) 3.689158 Btu/(s·ft²) 3.689 × 10⁰
2 cal/(s·cm²) 7.378317 Btu/(s·ft²) 7.378 × 10⁰
5 cal/(s·cm²) 18.445792 Btu/(s·ft²) 1.845 × 10¹
10 cal/(s·cm²) 36.891584 Btu/(s·ft²) 3.689 × 10¹
20 cal/(s·cm²) 73.783167 Btu/(s·ft²) 7.378 × 10¹
25 cal/(s·cm²) 92.228959 Btu/(s·ft²) 9.223 × 10¹
50 cal/(s·cm²) 184.457918 Btu/(s·ft²) 1.845 × 10²
100 cal/(s·cm²) 368.915836 Btu/(s·ft²) 3.689 × 10²
250 cal/(s·cm²) 922.28959 Btu/(s·ft²) 9.223 × 10²
500 cal/(s·cm²) 1844.579181 Btu/(s·ft²) 1.845 × 10³
1000 cal/(s·cm²) 3689.158361 Btu/(s·ft²) 3.689 × 10³
BTU (th)/second/sq. foot to Calorie (IT)/second/cm²: Reciprocal Summary
BTU (th)/second/sq. foot to Calorie (IT)/second/cm² Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu/(s·ft²) 0.271065 cal/(s·cm²) 2.711 × 10⁻¹
5 Btu/(s·ft²) 1.355323 cal/(s·cm²) 1.355 × 10⁰
10 Btu/(s·ft²) 2.710645 cal/(s·cm²) 2.711 × 10⁰
50 Btu/(s·ft²) 13.553227 cal/(s·cm²) 1.355 × 10¹
100 Btu/(s·ft²) 27.106454 cal/(s·cm²) 2.711 × 10¹
View Complete 15-Row BTU (th)/second/sq. foot to Calorie (IT)/second/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 (IT)/second/cm² (cal/(s·cm²)) and BTU (th)/second/sq. foot (Btu/(s·ft²)):

Calorie (IT)/second/cm² References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 0.032507 cal/(s·cm²)
  • Clear sky direct midday summer sunlight striking sea level ground 0.023885 cal/(s·cm²)
  • Human body resting thermal metabolic heat radiation to room 0.001194 cal/(s·cm²)
  • Overcast winter day diffuse solar irradiance at sea level 0.002388 cal/(s·cm²)

BTU (th)/second/sq. foot References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 0.119923 Btu/(s·ft²)
  • Clear sky direct midday summer sunlight striking sea level ground 0.088114 Btu/(s·ft²)
  • Human body resting thermal metabolic heat radiation to room 0.004406 Btu/(s·ft²)
  • Overcast winter day diffuse solar irradiance at sea level 0.008811 Btu/(s·ft²)

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

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

How to Convert Calorie (IT)/second/cm² to BTU (th)/second/sq. foot

Converting Calorie (IT)/second/cm² (cal/(s·cm²)) to BTU (th)/second/sq. foot (Btu/(s·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 (IT)/second/cm² equals 3.689158 BTU (th)/second/sq. foot, while 1 Btu/(s·ft²) equals 0.271065 cal/(s·cm²).

Direct Factor1 cal/(s·cm²) = 3.689158 Btu/(s·ft²)
Inverse Ratio1 Btu/(s·ft²) = 0.271065 cal/(s·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/(s·cm²) = 41868 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 Btu/(s·ft²) = 11348.93 watt per square meter (W/m²)
Step-by-step substitution for Calorie (IT)/second/cm² → BTU (th)/second/sq. foot:V(Btu/(s·ft²)) = V(cal/(s·cm²)) × ( 41868 / 11348.93 ) = V(cal/(s·cm²)) × 3.689158
Mathematical FormulaValue in BTU (th)/second/sq. foot = Value in Calorie (IT)/second/cm² × 3.68915836Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 cal/(s·cm²), applying the conversion factor yields exactly 29.513267 Btu/(s·ft²). At larger operational scale, 2500 Calorie (IT)/second/cm² corresponds to 9222.895903 Btu/(s·ft²).

Inverse check: 1 Btu/(s·ft²) = 0.271065 cal/(s·cm²).

Understanding Calorie (IT)/second/cm² and BTU (th)/second/sq. foot

Calorie (IT)/second/cm²

cal/(s·cm²)
Standard Unit

A Calorie (IT)/second/cm² (cal/(s·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 0.032507 cal/(s·cm²), a clear sky direct midday summer sunlight striking sea level ground equals 0.023885 cal/(s·cm²), a human body resting thermal metabolic heat radiation to room equals 0.001194 cal/(s·cm²).

Physical Setup

A physical magnitude of 1 cal/(s·cm²) corresponds to 41868 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 cal/(s·cm²) = 41868 W/m²

BTU (th)/second/sq. foot

Btu/(s·ft²)
Imperial / US

A BTU (th)/second/sq. foot (Btu/(s·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 0.119923 Btu/(s·ft²), a clear sky direct midday summer sunlight striking sea level ground equals 0.088114 Btu/(s·ft²), a human body resting thermal metabolic heat radiation to room equals 0.004406 Btu/(s·ft²).

Physical Setup

A physical magnitude of 1 Btu/(s·ft²) corresponds to 11348.93 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu/(s·ft²) = 11348.93 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/(s·cm²) at Industrial Hydronic Radiator Panel (8 m²) = 334944 W
Equals 334.944 kW • 0.334944 MW • 449.1673 hp
SI Power
334944
W
Watts
Grid / Utility
334.944
kW
Kilowatts
Power Plant
0.334944
MW
Megawatts
Mechanical Rating
449.1673
hp
Horsepower (Mechanical)
Metric Horsepower
455.3971
PS
Metric Horsepower (PS)
HVAC Thermal Rating
1142876.37
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 cal/(s·cm²) × 41868 = 41868 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 = (41868 W/m²) × (8 m²) = 334944 W
  4. 4. Convert to Standard Engineering Units:
    • W: 334944 × 1 = 334944 W (Watts) • kW: 334944 × 0.001 = 334.944 kW (Kilowatts) • MW: 334944 × 1 × 10⁻⁶ = 0.334944 MW (Megawatts) • hp: 334944 × 0.001341 = 449.1673 hp (Horsepower (Mechanical)) • PS: 334944 × 0.00136 = 455.3971 PS (Metric Horsepower (PS)) • BTU/h: 334944 × 3.4121 = 1142876.37 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 3.68915836 btus (th)/second/sq. foot (Btu/(s·ft²)) in 1 calorie (it)/second/cm² (cal/(s·cm²)). To calculate larger amounts manually, simply multiply your total number of calories (it)/second/cm² by the conversion multiplier of 3.68915836.

The mathematical formula to convert calories (it)/second/cm² to btus (th)/second/sq. foot is: [value] * 3.68915836 = btus (th)/second/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)/second/sq. foot back to calories (it)/second/cm², you must divide your starting value by 3.68915836. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/second/sq. foot input field.

1 Calorie (IT)/second/cm² is larger than 1 BTU (th)/second/sq. foot. Specifically, 1 Calorie (IT)/second/cm² equals exactly 3.68915836 btus (th)/second/sq. foot, making it 3.6892 times larger (a difference of 0.57 orders of magnitude). Therefore, quantities expressed in btus (th)/second/sq. foot require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (IT)/second/cm² converts to 3.68915836 btus (th)/second/sq. foot. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.