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

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (IT)/second/square centimeter = 3.68915778 Btu (th)/second/square foot
1 cal/(s·cm²) = 3.689158 Btu (th)/(s·ft²) • 1 Btu (th)/(s·ft²) = 0.271065 cal/(s·cm²)
Calorie (IT)/second/square centimeter to Btu (th)/second/square foot: One Calorie (IT)/second/square centimeter is equal to 3.68915778 Btus (th)/second/square foot.
Certified Authority Value
3.68915778
Btu (th)/(s·ft²)
Exact: 1 Btu (th)/(s·ft²) ≡ 0.271064579 cal/(s·cm²)
cal/(s·cm²)
cal/(s·cm²)
Btu (th)/(s·ft²)
Btu (th)/(s·ft²) 3.68915778
Quick Values:
Conversion Formula
To convert Calorie (IT)/second/square centimeter to Btu (th)/second/square foot, multiply by 3.68915778
cal/(s·cm²) × 3.68915778 = Btu (th)/(s·ft²)

Calculation: 1 cal/(s·cm²) × 3.68915778 = 3.68915778 Btu (th)/(s·ft²)

Common Calorie (IT)/second/square centimeter to Btu (th)/second/square foot Calculations

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

Tap any row to calculate
Calorie (IT)/second/square centimeter to Btu (th)/second/square foot: Primary Direct Table (15 Steps)
Calorie (IT)/second/square centimeter to Btu (th)/second/square foot Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal/(s·cm²) 0.00368916 Btu (th)/(s·ft²) 3.689 × 10⁻³
0.01 cal/(s·cm²) 0.0368916 Btu (th)/(s·ft²) 3.689 × 10⁻²
0.1 cal/(s·cm²) 0.368916 Btu (th)/(s·ft²) 3.689 × 10⁻¹
0.5 cal/(s·cm²) 1.844579 Btu (th)/(s·ft²) 1.845 × 10⁰
1 cal/(s·cm²) 3.689158 Btu (th)/(s·ft²) 3.689 × 10⁰
2 cal/(s·cm²) 7.378316 Btu (th)/(s·ft²) 7.378 × 10⁰
5 cal/(s·cm²) 18.445789 Btu (th)/(s·ft²) 1.845 × 10¹
10 cal/(s·cm²) 36.891578 Btu (th)/(s·ft²) 3.689 × 10¹
20 cal/(s·cm²) 73.783156 Btu (th)/(s·ft²) 7.378 × 10¹
25 cal/(s·cm²) 92.228944 Btu (th)/(s·ft²) 9.223 × 10¹
50 cal/(s·cm²) 184.457889 Btu (th)/(s·ft²) 1.845 × 10²
100 cal/(s·cm²) 368.915778 Btu (th)/(s·ft²) 3.689 × 10²
250 cal/(s·cm²) 922.289444 Btu (th)/(s·ft²) 9.223 × 10²
500 cal/(s·cm²) 1844.578889 Btu (th)/(s·ft²) 1.845 × 10³
1000 cal/(s·cm²) 3689.157778 Btu (th)/(s·ft²) 3.689 × 10³
Btu (th)/second/square foot to Calorie (IT)/second/square centimeter: Reciprocal Summary
Btu (th)/second/square foot to Calorie (IT)/second/square centimeter Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)/(s·ft²) 0.271065 cal/(s·cm²) 2.711 × 10⁻¹
5 Btu (th)/(s·ft²) 1.355323 cal/(s·cm²) 1.355 × 10⁰
10 Btu (th)/(s·ft²) 2.710646 cal/(s·cm²) 2.711 × 10⁰
50 Btu (th)/(s·ft²) 13.553229 cal/(s·cm²) 1.355 × 10¹
100 Btu (th)/(s·ft²) 27.106458 cal/(s·cm²) 2.711 × 10¹

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/square centimeter (cal/(s·cm²)) and Btu (th)/second/square foot (Btu (th)/(s·ft²)):

Calorie (IT)/second/square centimeter References:

  • Welding oxy-acetylene torch flame concentrated heat flux 5 cal/(s·cm²)

Btu (th)/second/square foot References:

  • Solid rocket motor nozzle graphite throat erosion heat flux 75 Btu (th)/(s·ft²)
ISQ Dimension: [M T⁻³] Coherent SI Unit: watt per square meter (W/m²) Thermodynamics & Heat Transfer

How to Convert Calorie (IT)/second/square centimeter to Btu (th)/second/square foot

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

Direct Factor1 cal/(s·cm²) = 3.689158 Btu (th)/(s·ft²)
Inverse Ratio1 Btu (th)/(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 (th)/(s·ft²) = 11348.931795 watt per square meter (W/m²)
Step-by-step substitution for Calorie (IT)/second/square centimeter → Btu (th)/second/square foot:V(Btu (th)/(s·ft²)) = V(cal/(s·cm²)) × ( 41868 / 11348.931795 ) = V(cal/(s·cm²)) × 3.689158
Mathematical FormulaValue in Btu (th)/second/square foot = Value in Calorie (IT)/second/square centimeter × 3.68915778Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 50 Calorie (IT)/second/square centimeter (cal/(s·cm²)) produces 184.457889 Btu (th)/second/square foot (Btu (th)/(s·ft²)). In heavy-duty utility and industrial workloads, 1000 cal/(s·cm²) equals 3689.157778 Btu (th)/(s·ft²).

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

Understanding Calorie (IT)/second/square centimeter and Btu (th)/second/square foot

Calorie (IT)/second/square centimeter

cal/(s·cm²)
Standard Unit

A Calorie (IT)/second/square centimeter (cal/(s·cm²)) is a recognized unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a welding oxy-acetylene torch flame concentrated heat flux equals 5 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/square foot

Btu (th)/(s·ft²)
Imperial / US

A Btu (th)/second/square foot (Btu (th)/(s·ft²)) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solid rocket motor nozzle graphite throat erosion heat flux equals 75 Btu (th)/(s·ft²).

Physical Setup

A physical magnitude of 1 Btu (th)/(s·ft²) corresponds to 11348.931795 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu (th)/(s·ft²) = 11348.931795 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 3.68915778 btus (th)/second/square foot (Btu (th)/(s·ft²)) in 1 calorie (it)/second/square centimeter (cal/(s·cm²)). To calculate larger amounts manually, simply multiply your total number of calories (it)/second/square centimeter by the conversion multiplier of 3.68915778.

The mathematical formula to convert calories (it)/second/square centimeter to btus (th)/second/square foot is: [value] * 3.68915778 = btus (th)/second/square 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/square foot back to calories (it)/second/square centimeter, you must divide your starting value by 3.68915778. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/second/square foot input field.

1 Calorie (IT)/second/square centimeter is larger than 1 Btu (th)/second/square foot. Specifically, 1 Calorie (IT)/second/square centimeter equals exactly 3.68915778 btus (th)/second/square foot, making it 3.6892 times larger (a difference of 0.57 orders of magnitude). Therefore, quantities expressed in btus (th)/second/square foot require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Calorie (IT)/second/square centimeter converts to 3.68915778 btus (th)/second/square foot. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.