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

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Live Conversion • ISO 80000-5:2019 Certified
1 BTU (th)/second/sq. inch = 39.05941683 Calorie (th)/second/cm²
1 Btu/(s·in²) = 39.059417 cal (th)/(s·cm²) • 1 cal (th)/(s·cm²) = 0.025602 Btu/(s·in²)
BTU (th)/second/sq. inch to Calorie (th)/second/cm²: One BTU (th)/second/sq. inch is equal to 39.05941683 Calories (th)/second/cm².
Certified Authority Value
39.05941683
cal (th)/(s·cm²)
Exact: 1 cal (th)/(s·cm²) ≡ 0.02560202075 Btu/(s·in²)
Btu/(s·in²)
Btu/(s·in²)
Swap to Calorie (th)/second/cm² to BTU (th)/second/sq. inch
Swap to Calorie (th)/second/cm² to BTU (th)/second/sq. inch
cal (th)/(s·cm²)
cal (th)/(s·cm²) 39.05941683
Quick Values:
Conversion Formula
To convert BTU (th)/second/sq. inch to Calorie (th)/second/cm², multiply by 39.05941683
Btu/(s·in²) × 39.05941683 = cal (th)/(s·cm²)

Calculation: 1 Btu/(s·in²) × 39.05941683 = 39.05941683 cal (th)/(s·cm²)

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

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

Tap any row to calculate
BTU (th)/second/sq. inch to Calorie (th)/second/cm²: Primary Direct Table (15 Steps)
BTU (th)/second/sq. inch to Calorie (th)/second/cm² Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu/(s·in²) 0.0390594 cal (th)/(s·cm²) 3.906 × 10⁻²
0.01 Btu/(s·in²) 0.390594 cal (th)/(s·cm²) 3.906 × 10⁻¹
0.1 Btu/(s·in²) 3.905942 cal (th)/(s·cm²) 3.906 × 10⁰
0.5 Btu/(s·in²) 19.529708 cal (th)/(s·cm²) 1.953 × 10¹
1 Btu/(s·in²) 39.059417 cal (th)/(s·cm²) 3.906 × 10¹
2 Btu/(s·in²) 78.118834 cal (th)/(s·cm²) 7.812 × 10¹
5 Btu/(s·in²) 195.297084 cal (th)/(s·cm²) 1.953 × 10²
10 Btu/(s·in²) 390.594168 cal (th)/(s·cm²) 3.906 × 10²
20 Btu/(s·in²) 781.188337 cal (th)/(s·cm²) 7.812 × 10²
25 Btu/(s·in²) 976.485421 cal (th)/(s·cm²) 9.765 × 10²
50 Btu/(s·in²) 1952.970841 cal (th)/(s·cm²) 1.953 × 10³
100 Btu/(s·in²) 3905.941683 cal (th)/(s·cm²) 3.906 × 10³
250 Btu/(s·in²) 9764.854207 cal (th)/(s·cm²) 9.765 × 10³
500 Btu/(s·in²) 19529.708413 cal (th)/(s·cm²) 1.953 × 10⁴
1000 Btu/(s·in²) 39059.416826 cal (th)/(s·cm²) 3.906 × 10⁴
Calorie (th)/second/cm² to BTU (th)/second/sq. inch: Reciprocal Summary
Calorie (th)/second/cm² to BTU (th)/second/sq. inch Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal (th)/(s·cm²) 0.025602 Btu/(s·in²) 2.56 × 10⁻²
5 cal (th)/(s·cm²) 0.12801 Btu/(s·in²) 1.28 × 10⁻¹
10 cal (th)/(s·cm²) 0.25602 Btu/(s·in²) 2.56 × 10⁻¹
50 cal (th)/(s·cm²) 1.280101 Btu/(s·in²) 1.28 × 10⁰
100 cal (th)/(s·cm²) 2.560202 Btu/(s·in²) 2.56 × 10⁰
View Complete 15-Row Calorie (th)/second/cm² to BTU (th)/second/sq. inch 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 BTU (th)/second/sq. inch (Btu/(s·in²)) and Calorie (th)/second/cm² (cal (th)/(s·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)

Calorie (th)/second/cm² References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 0.032529 cal (th)/(s·cm²)
  • Clear sky direct midday summer sunlight striking sea level ground 0.023901 cal (th)/(s·cm²)
  • Human body resting thermal metabolic heat radiation to room 0.001195 cal (th)/(s·cm²)
  • Overcast winter day diffuse solar irradiance at sea level 0.00239 cal (th)/(s·cm²)

Tap any benchmark above to automatically calculate its exact equivalent in Calorie (th)/second/cm².

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

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

Converting BTU (th)/second/sq. inch (Btu/(s·in²)) to Calorie (th)/second/cm² (cal (th)/(s·cm²)) 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 BTU (th)/second/sq. inch equals 39.059417 Calorie (th)/second/cm², while 1 cal (th)/(s·cm²) equals 0.025602 Btu/(s·in²).

Direct Factor1 Btu/(s·in²) = 39.059417 cal (th)/(s·cm²)
Inverse Ratio1 cal (th)/(s·cm²) = 0.025602 Btu/(s·in²)
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 Btu/(s·in²) = 1634246 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 cal (th)/(s·cm²) = 41840 watt per square meter (W/m²)
Step-by-step substitution for BTU (th)/second/sq. inch → Calorie (th)/second/cm²:V(cal (th)/(s·cm²)) = V(Btu/(s·in²)) × ( 1634246 / 41840 ) = V(Btu/(s·in²)) × 39.059417
Mathematical FormulaValue in Calorie (th)/second/cm² = Value in BTU (th)/second/sq. inch × 39.05941683Direct computational formula applied for standard conversion.
Worked Example

Converting 36 Btu/(s·in²) yields an exact output of 1406.139006 cal (th)/(s·cm²) in Calorie (th)/second/cm². Under higher industrial throughput, 100 Btu/(s·in²) translates to 3905.941683 cal (th)/(s·cm²).

Inverse check: 1 cal (th)/(s·cm²) = 0.025602 Btu/(s·in²).

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

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

Calorie (th)/second/cm²

cal (th)/(s·cm²)
Standard Unit

A Calorie (th)/second/cm² (cal (th)/(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 0.032529 cal (th)/(s·cm²), a clear sky direct midday summer sunlight striking sea level ground equals 0.023901 cal (th)/(s·cm²), a human body resting thermal metabolic heat radiation to room equals 0.001195 cal (th)/(s·cm²).

Physical Setup

A physical magnitude of 1 cal (th)/(s·cm²) corresponds to 41840 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 cal (th)/(s·cm²) = 41840 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 Btu/(s·in²) at Industrial Hydronic Radiator Panel (8 m²) = 1.3074 × 10⁷ W
Equals 13073.968 kW • 13.073968 MW • 17532.4799 hp
SI Power
1.3074 × 10⁷
W
Watts
Grid / Utility
13073.968
kW
Kilowatts
Power Plant
13.073968
MW
Megawatts
Mechanical Rating
17532.4799
hp
Horsepower (Mechanical)
Metric Horsepower
17775.6496
PS
Metric Horsepower (PS)
HVAC Thermal Rating
4.46 × 10⁷
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 Btu/(s·in²) × 1634246 = 1634246 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 = (1634246 W/m²) × (8 m²) = 1.307397 × 10⁷ W
  4. 4. Convert to Standard Engineering Units:
    • W: 1.307397 × 10⁷ × 1 = 1.3074 × 10⁷ W (Watts) • kW: 1.307397 × 10⁷ × 0.001 = 13073.968 kW (Kilowatts) • MW: 1.307397 × 10⁷ × 1 × 10⁻⁶ = 13.073968 MW (Megawatts) • hp: 1.307397 × 10⁷ × 0.001341 = 17532.4799 hp (Horsepower (Mechanical)) • PS: 1.307397 × 10⁷ × 0.00136 = 17775.6496 PS (Metric Horsepower (PS)) • BTU/h: 1.307397 × 10⁷ × 3.4121 = 4.46 × 10⁷ 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 39.05941683 calories (th)/second/cm² (cal (th)/(s·cm²)) in 1 btu (th)/second/sq. inch (Btu/(s·in²)). To calculate larger amounts manually, simply multiply your total number of btus (th)/second/sq. inch by the conversion multiplier of 39.05941683.

The mathematical formula to convert btus (th)/second/sq. inch to calories (th)/second/cm² is: [value] * 39.05941683 = calories (th)/second/cm². 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 calories (th)/second/cm² back to btus (th)/second/sq. inch, you must divide your starting value by 39.05941683. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (th)/second/cm² input field.

1 BTU (th)/second/sq. inch is larger than 1 Calorie (th)/second/cm². Specifically, 1 BTU (th)/second/sq. inch equals exactly 39.05941683 calories (th)/second/cm², making it 39.0594 times larger (a difference of 1.59 orders of magnitude). Therefore, quantities expressed in calories (th)/second/cm² require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 BTU (th)/second/sq. inch converts to 39.05941683 calories (th)/second/cm². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.