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

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Live Conversion • ISO 80000-5:2019 Certified
1 BTU (IT)/hour/sq. foot = 7.53965304 × 10⁻⁵ Calorie (th)/second/cm²
1 Btu/(h·ft²) = 7.539653 × 10⁻⁵ cal (th)/(s·cm²) • 1 cal (th)/(s·cm²) = 13263.209782 Btu/(h·ft²)
BTU (IT)/hour/sq. foot to Calorie (th)/second/cm²: One BTU (IT)/hour/sq. foot is equal to 7.53965304 × 10⁻⁵ Calories (th)/second/cm².
Certified Authority Value
0.00007540
cal (th)/(s·cm²)
Exact: 1 cal (th)/(s·cm²) ≡ 13263.2097823569 Btu/(h·ft²)
Btu/(h·ft²)
Btu/(h·ft²)
Swap to Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot
Swap to Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot
cal (th)/(s·cm²)
cal (th)/(s·cm²) 7.53965304 × 10⁻⁵
Quick Values:
Conversion Formula
To convert BTU (IT)/hour/sq. foot to Calorie (th)/second/cm², multiply by 7.53965304 × 10⁻⁵
Btu/(h·ft²) × 7.53965304 × 10⁻⁵ = cal (th)/(s·cm²)

Calculation: 1 Btu/(h·ft²) × 7.53965304 × 10⁻⁵ = 7.53965304 × 10⁻⁵ cal (th)/(s·cm²)

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

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

Tap any row to calculate
BTU (IT)/hour/sq. foot to Calorie (th)/second/cm²: Primary Direct Table (15 Steps)
BTU (IT)/hour/sq. foot to Calorie (th)/second/cm² Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu/(h·ft²) 7.539653 × 10⁻⁸ cal (th)/(s·cm²) 7.54 × 10⁻⁸
0.01 Btu/(h·ft²) 7.539653 × 10⁻⁷ cal (th)/(s·cm²) 7.54 × 10⁻⁷
0.1 Btu/(h·ft²) 7.539653 × 10⁻⁶ cal (th)/(s·cm²) 7.54 × 10⁻⁶
0.5 Btu/(h·ft²) 3.769827 × 10⁻⁵ cal (th)/(s·cm²) 3.77 × 10⁻⁵
1 Btu/(h·ft²) 7.539653 × 10⁻⁵ cal (th)/(s·cm²) 7.54 × 10⁻⁵
2 Btu/(h·ft²) 0.000150793 cal (th)/(s·cm²) 1.508 × 10⁻⁴
5 Btu/(h·ft²) 0.000376983 cal (th)/(s·cm²) 3.77 × 10⁻⁴
10 Btu/(h·ft²) 0.000753965 cal (th)/(s·cm²) 7.54 × 10⁻⁴
20 Btu/(h·ft²) 0.00150793 cal (th)/(s·cm²) 1.508 × 10⁻³
25 Btu/(h·ft²) 0.00188491 cal (th)/(s·cm²) 1.885 × 10⁻³
50 Btu/(h·ft²) 0.00376983 cal (th)/(s·cm²) 3.77 × 10⁻³
100 Btu/(h·ft²) 0.00753965 cal (th)/(s·cm²) 7.54 × 10⁻³
250 Btu/(h·ft²) 0.0188491 cal (th)/(s·cm²) 1.885 × 10⁻²
500 Btu/(h·ft²) 0.0376983 cal (th)/(s·cm²) 3.77 × 10⁻²
1000 Btu/(h·ft²) 0.0753965 cal (th)/(s·cm²) 7.54 × 10⁻²
Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot: Reciprocal Summary
Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal (th)/(s·cm²) 13263.209782 Btu/(h·ft²) 1.326 × 10⁴
5 cal (th)/(s·cm²) 66316.048912 Btu/(h·ft²) 6.632 × 10⁴
10 cal (th)/(s·cm²) 132632.097824 Btu/(h·ft²) 1.326 × 10⁵
50 cal (th)/(s·cm²) 663160.489118 Btu/(h·ft²) 6.632 × 10⁵
100 cal (th)/(s·cm²) 1326320.978236 Btu/(h·ft²) 1.326 × 10⁶
View Complete 15-Row Calorie (th)/second/cm² to BTU (IT)/hour/sq. foot 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 (IT)/hour/sq. foot (Btu/(h·ft²)) and Calorie (th)/second/cm² (cal (th)/(s·cm²)):

BTU (IT)/hour/sq. foot References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 431.43 Btu/(h·ft²)
  • Clear sky direct midday summer sunlight striking sea level ground 317 Btu/(h·ft²)
  • Human body resting thermal metabolic heat radiation to room 15.8499 Btu/(h·ft²)
  • Overcast winter day diffuse solar irradiance at sea level 31.6998 Btu/(h·ft²)

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 (IT)/hour/sq. foot to Calorie (th)/second/cm²

Converting BTU (IT)/hour/sq. foot (Btu/(h·ft²)) 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 (IT)/hour/sq. foot equals 7.539653 × 10⁻⁵ Calorie (th)/second/cm², while 1 cal (th)/(s·cm²) equals 13263.209782 Btu/(h·ft²).

Direct Factor1 Btu/(h·ft²) = 7.539653 × 10⁻⁵ cal (th)/(s·cm²)
Inverse Ratio1 cal (th)/(s·cm²) = 13263.209782 Btu/(h·ft²)
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/(h·ft²) = 3.154591 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 (IT)/hour/sq. foot → Calorie (th)/second/cm²:V(cal (th)/(s·cm²)) = V(Btu/(h·ft²)) × ( 3.154591 / 41840 ) = V(Btu/(h·ft²)) × 7.539653 × 10⁻⁵
Mathematical FormulaValue in Calorie (th)/second/cm² = Value in BTU (IT)/hour/sq. foot × 7.53965304 × 10⁻⁵Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 120 BTU (IT)/hour/sq. foot (Btu/(h·ft²)) produces 0.00904758 Calorie (th)/second/cm² (cal (th)/(s·cm²)). In heavy-duty utility and industrial workloads, 5000 Btu/(h·ft²) equals 0.376983 cal (th)/(s·cm²).

Inverse check: 1 cal (th)/(s·cm²) = 13263.209782 Btu/(h·ft²).

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

BTU (IT)/hour/sq. foot

Btu/(h·ft²)
Imperial / US

A BTU (IT)/hour/sq. foot (Btu/(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 431.43 Btu/(h·ft²), a clear sky direct midday summer sunlight striking sea level ground equals 317 Btu/(h·ft²), a human body resting thermal metabolic heat radiation to room equals 15.8499 Btu/(h·ft²).

Physical Setup

A physical magnitude of 1 Btu/(h·ft²) corresponds to 3.154591 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu/(h·ft²) = 3.154591 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/(h·ft²) at Industrial Hydronic Radiator Panel (8 m²) = 25.2367 W
Equals 0.02524 kW • 2.523673 × 10⁻⁵ MW • 0.03384 hp
SI Power
25.2367
W
Watts
Grid / Utility
0.02524
kW
Kilowatts
Power Plant
2.523673 × 10⁻⁵
MW
Megawatts
Mechanical Rating
0.03384
hp
Horsepower (Mechanical)
Metric Horsepower
0.03431
PS
Metric Horsepower (PS)
HVAC Thermal Rating
86.11
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 Btu/(h·ft²) × 3.15459083 = 3.15459083 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 = (3.15459083 W/m²) × (8 m²) = 25.236727 W
  4. 4. Convert to Standard Engineering Units:
    • W: 25.236727 × 1 = 25.2367 W (Watts) • kW: 25.236727 × 0.001 = 0.02524 kW (Kilowatts) • MW: 25.236727 × 1 × 10⁻⁶ = 2.523673 × 10⁻⁵ MW (Megawatts) • hp: 25.236727 × 0.001341 = 0.03384 hp (Horsepower (Mechanical)) • PS: 25.236727 × 0.00136 = 0.03431 PS (Metric Horsepower (PS)) • BTU/h: 25.236727 × 3.4121 = 86.11 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 7.53965304 × 10⁻⁵ calories (th)/second/cm² (cal (th)/(s·cm²)) in 1 btu (it)/hour/sq. foot (Btu/(h·ft²)). To calculate larger amounts manually, simply multiply your total number of btus (it)/hour/sq. foot by the conversion multiplier of 7.53965304 × 10⁻⁵.

The mathematical formula to convert btus (it)/hour/sq. foot to calories (th)/second/cm² is: [value] * 7.53965304 × 10⁻⁵ = 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 (it)/hour/sq. foot, you must divide your starting value by 7.53965304 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (th)/second/cm² input field.

1 Calorie (th)/second/cm² is larger than 1 BTU (IT)/hour/sq. foot. Specifically, 1 BTU (IT)/hour/sq. foot equals 7.53965304 × 10⁻⁵ calories (th)/second/cm², meaning 1 Calorie (th)/second/cm² is 13263.2098 times larger than 1 BTU (IT)/hour/sq. foot (a difference of 4.12 orders of magnitude). Expressing measurements in btus (it)/hour/sq. foot requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 BTU (IT)/hour/sq. foot converts to 7.53965304 × 10⁻⁵ calories (th)/second/cm². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.