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Calories (th)/hour/cm² to Btus (th)/second/sq. inch Converter (cal (th)/(h·cm²) to Btu/(s·in²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/hour/cm² = 7.11167243 × 10⁻⁶ BTU (th)/second/sq. inch
1 cal (th)/(h·cm²) = 7.111672 × 10⁻⁶ Btu/(s·in²) • 1 Btu/(s·in²) = 140613.900574 cal (th)/(h·cm²)
Calorie (th)/hour/cm² to BTU (th)/second/sq. inch: One Calorie (th)/hour/cm² is equal to 7.11167243 × 10⁻⁶ Btus (th)/second/sq. inch.
Certified Authority Value
0.00000711
Btu/(s·in²)
Exact: 1 Btu/(s·in²) ≡ 140613.9005736138 cal (th)/(h·cm²)
cal (th)/(h·cm²)
cal (th)/(h·cm²)
Swap to BTU (th)/second/sq. inch to Calorie (th)/hour/cm²
Swap to BTU (th)/second/sq. inch to Calorie (th)/hour/cm²
Btu/(s·in²)
Btu/(s·in²) 7.11167243 × 10⁻⁶
Quick Values:
Conversion Formula
To convert Calorie (th)/hour/cm² to BTU (th)/second/sq. inch, multiply by 7.11167243 × 10⁻⁶
cal (th)/(h·cm²) × 7.11167243 × 10⁻⁶ = Btu/(s·in²)

Calculation: 1 cal (th)/(h·cm²) × 7.11167243 × 10⁻⁶ = 7.11167243 × 10⁻⁶ Btu/(s·in²)

Common Calorie (th)/hour/cm² to BTU (th)/second/sq. inch Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Calorie (th)/hour/cm² (cal (th)/(h·cm²)) and BTU (th)/second/sq. inch (Btu/(s·in²)).

Tap any row to calculate
Calorie (th)/hour/cm² to BTU (th)/second/sq. inch: Primary Direct Table (15 Steps)
Calorie (th)/hour/cm² to BTU (th)/second/sq. inch Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(h·cm²) 7.111672 × 10⁻⁹ Btu/(s·in²) 7.112 × 10⁻⁹
0.01 cal (th)/(h·cm²) 7.111672 × 10⁻⁸ Btu/(s·in²) 7.112 × 10⁻⁸
0.1 cal (th)/(h·cm²) 7.111672 × 10⁻⁷ Btu/(s·in²) 7.112 × 10⁻⁷
0.5 cal (th)/(h·cm²) 3.555836 × 10⁻⁶ Btu/(s·in²) 3.556 × 10⁻⁶
1 cal (th)/(h·cm²) 7.111672 × 10⁻⁶ Btu/(s·in²) 7.112 × 10⁻⁶
2 cal (th)/(h·cm²) 1.422334 × 10⁻⁵ Btu/(s·in²) 1.422 × 10⁻⁵
5 cal (th)/(h·cm²) 3.555836 × 10⁻⁵ Btu/(s·in²) 3.556 × 10⁻⁵
10 cal (th)/(h·cm²) 7.111672 × 10⁻⁵ Btu/(s·in²) 7.112 × 10⁻⁵
20 cal (th)/(h·cm²) 0.000142233 Btu/(s·in²) 1.422 × 10⁻⁴
25 cal (th)/(h·cm²) 0.000177792 Btu/(s·in²) 1.778 × 10⁻⁴
50 cal (th)/(h·cm²) 0.000355584 Btu/(s·in²) 3.556 × 10⁻⁴
100 cal (th)/(h·cm²) 0.000711167 Btu/(s·in²) 7.112 × 10⁻⁴
250 cal (th)/(h·cm²) 0.00177792 Btu/(s·in²) 1.778 × 10⁻³
500 cal (th)/(h·cm²) 0.00355584 Btu/(s·in²) 3.556 × 10⁻³
1000 cal (th)/(h·cm²) 0.00711167 Btu/(s·in²) 7.112 × 10⁻³
BTU (th)/second/sq. inch to Calorie (th)/hour/cm²: Reciprocal Summary
BTU (th)/second/sq. inch to Calorie (th)/hour/cm² Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu/(s·in²) 140613.900574 cal (th)/(h·cm²) 1.406 × 10⁵
5 Btu/(s·in²) 703069.502868 cal (th)/(h·cm²) 7.031 × 10⁵
10 Btu/(s·in²) 1406139.005736 cal (th)/(h·cm²) 1.406 × 10⁶
50 Btu/(s·in²) 7030695.028681 cal (th)/(h·cm²) 7.031 × 10⁶
100 Btu/(s·in²) 1.406139 × 10⁷ cal (th)/(h·cm²) 1.406 × 10⁷
View Complete 15-Row BTU (th)/second/sq. inch 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)/second/sq. inch (Btu/(s·in²)):

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)/second/sq. inch References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 0.000833 Btu/(s·in²)
  • Clear sky direct midday summer sunlight striking sea level ground 0.000612 Btu/(s·in²)
  • Human body resting thermal metabolic heat radiation to room 3.1E-5 Btu/(s·in²)
  • Overcast winter day diffuse solar irradiance at sea level 6.1E-5 Btu/(s·in²)

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

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)/second/sq. inch

Converting Calorie (th)/hour/cm² (cal (th)/(h·cm²)) to BTU (th)/second/sq. inch (Btu/(s·in²)) 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 7.111672 × 10⁻⁶ BTU (th)/second/sq. inch, while 1 Btu/(s·in²) equals 140613.900574 cal (th)/(h·cm²).

Direct Factor1 cal (th)/(h·cm²) = 7.111672 × 10⁻⁶ Btu/(s·in²)
Inverse Ratio1 Btu/(s·in²) = 140613.900574 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/(s·in²) = 1634246 watt per square meter (W/m²)
Step-by-step substitution for Calorie (th)/hour/cm² → BTU (th)/second/sq. inch:V(Btu/(s·in²)) = V(cal (th)/(h·cm²)) × ( 11.622222 / 1634246 ) = V(cal (th)/(h·cm²)) × 7.111672 × 10⁻⁶
Mathematical FormulaValue in BTU (th)/second/sq. inch = Value in Calorie (th)/hour/cm² × 7.11167243 × 10⁻⁶Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 cal (th)/(h·cm²), applying the conversion factor yields exactly 0.00177792 Btu/(s·in²). At larger operational scale, 100 Calorie (th)/hour/cm² corresponds to 0.000711167 Btu/(s·in²).

Inverse check: 1 Btu/(s·in²) = 140613.900574 cal (th)/(h·cm²).

Understanding Calorie (th)/hour/cm² and BTU (th)/second/sq. inch

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)/second/sq. inch

Btu/(s·in²)
Imperial / US

A BTU (th)/second/sq. inch (Btu/(s·in²)) 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 0.000833 Btu/(s·in²), a clear sky direct midday summer sunlight striking sea level ground equals 0.000612 Btu/(s·in²), a human body resting thermal metabolic heat radiation to room equals 3.1 × 10⁻⁵ Btu/(s·in²).

Physical Setup

A physical magnitude of 1 Btu/(s·in²) corresponds to 1634246 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu/(s·in²) = 1634246 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 7.11167243 × 10⁻⁶ btus (th)/second/sq. inch (Btu/(s·in²)) 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 7.11167243 × 10⁻⁶.

The mathematical formula to convert calories (th)/hour/cm² to btus (th)/second/sq. inch is: [value] * 7.11167243 × 10⁻⁶ = btus (th)/second/sq. inch. 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. inch back to calories (th)/hour/cm², you must divide your starting value by 7.11167243 × 10⁻⁶. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/second/sq. inch input field.

1 BTU (th)/second/sq. inch is larger than 1 Calorie (th)/hour/cm². Specifically, 1 Calorie (th)/hour/cm² equals 7.11167243 × 10⁻⁶ btus (th)/second/sq. inch, meaning 1 BTU (th)/second/sq. inch is 140613.9006 times larger than 1 Calorie (th)/hour/cm² (a difference of 5.15 orders of magnitude). Expressing measurements in calories (th)/hour/cm² requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Calorie (th)/hour/cm² converts to 7.11167243 × 10⁻⁶ btus (th)/second/sq. inch. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.