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Watts/square inch to Calories (th)/hour/cm² Converter (W/in² to cal (th)/(h·cm²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Watt/square inch = 133.3654675 Calorie (th)/hour/cm²
1 W/in² = 133.365467 cal (th)/(h·cm²) • 1 cal (th)/(h·cm²) = 0.00749819 W/in²
Watt/square inch to Calorie (th)/hour/cm²: One Watt/square inch is equal to 133.3654675 Calories (th)/hour/cm².
Certified Authority Value
133.36546750
cal (th)/(h·cm²)
Exact: 1 cal (th)/(h·cm²) ≡ 0.007498192889 W/in²
W/in²
W/in²
Swap to Calorie (th)/hour/cm² to Watt/square inch
Swap to Calorie (th)/hour/cm² to Watt/square inch
cal (th)/(h·cm²)
cal (th)/(h·cm²) 133.3654675
Quick Values:
Conversion Formula
To convert Watt/square inch to Calorie (th)/hour/cm², multiply by 133.3654675
W/in² × 133.3654675 = cal (th)/(h·cm²)

Calculation: 1 W/in² × 133.3654675 = 133.3654675 cal (th)/(h·cm²)

Common Watt/square inch to Calorie (th)/hour/cm² Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/square inch (W/in²) and Calorie (th)/hour/cm² (cal (th)/(h·cm²)).

Tap any row to calculate
Watt/square inch to Calorie (th)/hour/cm²: Primary Direct Table (15 Steps)
Watt/square inch to Calorie (th)/hour/cm² Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/in² 0.133365 cal (th)/(h·cm²) 1.334 × 10⁻¹
0.01 W/in² 1.333655 cal (th)/(h·cm²) 1.334 × 10⁰
0.1 W/in² 13.336547 cal (th)/(h·cm²) 1.334 × 10¹
0.5 W/in² 66.682734 cal (th)/(h·cm²) 6.668 × 10¹
1 W/in² 133.365467 cal (th)/(h·cm²) 1.334 × 10²
2 W/in² 266.730935 cal (th)/(h·cm²) 2.667 × 10²
5 W/in² 666.827337 cal (th)/(h·cm²) 6.668 × 10²
10 W/in² 1333.654675 cal (th)/(h·cm²) 1.334 × 10³
20 W/in² 2667.30935 cal (th)/(h·cm²) 2.667 × 10³
25 W/in² 3334.136687 cal (th)/(h·cm²) 3.334 × 10³
50 W/in² 6668.273375 cal (th)/(h·cm²) 6.668 × 10³
100 W/in² 13336.54675 cal (th)/(h·cm²) 1.334 × 10⁴
250 W/in² 33341.366874 cal (th)/(h·cm²) 3.334 × 10⁴
500 W/in² 66682.733748 cal (th)/(h·cm²) 6.668 × 10⁴
1000 W/in² 133365.467496 cal (th)/(h·cm²) 1.334 × 10⁵
Calorie (th)/hour/cm² to Watt/square inch: Reciprocal Summary
Calorie (th)/hour/cm² to Watt/square inch Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal (th)/(h·cm²) 0.00749819 W/in² 7.498 × 10⁻³
5 cal (th)/(h·cm²) 0.037491 W/in² 3.749 × 10⁻²
10 cal (th)/(h·cm²) 0.0749819 W/in² 7.498 × 10⁻²
50 cal (th)/(h·cm²) 0.37491 W/in² 3.749 × 10⁻¹
100 cal (th)/(h·cm²) 0.749819 W/in² 7.498 × 10⁻¹
View Complete 15-Row Calorie (th)/hour/cm² to Watt/square 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 Watt/square inch (W/in²) and Calorie (th)/hour/cm² (cal (th)/(h·cm²)):

Watt/square inch References:

  • Industrial electric immersion water heater element surface flux 50 W/in²
  • Electric soldering iron copper tip steady heat dissipation flux 25 W/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)

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

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

How to Convert Watt/square inch to Calorie (th)/hour/cm²

Converting Watt/square inch (W/in²) to Calorie (th)/hour/cm² (cal (th)/(h·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 Watt/square inch equals 133.365467 Calorie (th)/hour/cm², while 1 cal (th)/(h·cm²) equals 0.00749819 W/in².

Direct Factor1 W/in² = 133.365467 cal (th)/(h·cm²)
Inverse Ratio1 cal (th)/(h·cm²) = 0.00749819 W/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 W/in² = 1550.0031 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 cal (th)/(h·cm²) = 11.622222 watt per square meter (W/m²)
Step-by-step substitution for Watt/square inch → Calorie (th)/hour/cm²:V(cal (th)/(h·cm²)) = V(W/in²) × ( 1550.0031 / 11.622222 ) = V(W/in²) × 133.365467
Mathematical FormulaValue in Calorie (th)/hour/cm² = Value in Watt/square inch × 133.3654675Direct computational formula applied for standard conversion.
Worked Example

To convert 120 Watt/square inch (W/in²) to Calorie (th)/hour/cm² (cal (th)/(h·cm²)): multiply 120 by 133.365467 to get 16003.856099 cal (th)/(h·cm²). At an industrial engineering scale, 240 W/in² converts to 32007.712199 cal (th)/(h·cm²).

Inverse check: 1 cal (th)/(h·cm²) = 0.00749819 W/in².

Understanding Watt/square inch and Calorie (th)/hour/cm²

Watt/square inch

W/in²
Imperial / US

A Watt/square inch (W/in²) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a industrial electric immersion water heater element surface flux equals 50 W/in², a electric soldering iron copper tip steady heat dissipation flux equals 25 W/in².

Physical Setup

A physical magnitude of 1 W/in² corresponds to 1550.0031 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 W/in² = 1550.0031 W/m²

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

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 W/in² at Industrial Hydronic Radiator Panel (8 m²) = 12400.0248 W
Equals 12.4 kW • 0.0124 MW • 16.6287 hp
SI Power
12400.0248
W
Watts
Grid / Utility
12.4
kW
Kilowatts
Power Plant
0.0124
MW
Megawatts
Mechanical Rating
16.6287
hp
Horsepower (Mechanical)
Metric Horsepower
16.8593
PS
Metric Horsepower (PS)
HVAC Thermal Rating
42310.64
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 W/in² × 1550.00310001 = 1550.00310001 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 = (1550.00310001 W/m²) × (8 m²) = 12400.0248 W
  4. 4. Convert to Standard Engineering Units:
    • W: 12400.0248 × 1 = 12400.0248 W (Watts) • kW: 12400.0248 × 0.001 = 12.4 kW (Kilowatts) • MW: 12400.0248 × 1 × 10⁻⁶ = 0.0124 MW (Megawatts) • hp: 12400.0248 × 0.001341 = 16.6287 hp (Horsepower (Mechanical)) • PS: 12400.0248 × 0.00136 = 16.8593 PS (Metric Horsepower (PS)) • BTU/h: 12400.0248 × 3.4121 = 42310.64 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 133.3654675 calories (th)/hour/cm² (cal (th)/(h·cm²)) in 1 watt/square inch (W/in²). To calculate larger amounts manually, simply multiply your total number of watts/square inch by the conversion multiplier of 133.3654675.

The mathematical formula to convert watts/square inch to calories (th)/hour/cm² is: [value] * 133.3654675 = calories (th)/hour/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)/hour/cm² back to watts/square inch, you must divide your starting value by 133.3654675. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (th)/hour/cm² input field.

1 Watt/square inch is larger than 1 Calorie (th)/hour/cm². Specifically, 1 Watt/square inch equals exactly 133.3654675 calories (th)/hour/cm², making it 133.3655 times larger (a difference of 2.13 orders of magnitude). Therefore, quantities expressed in calories (th)/hour/cm² require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Watt/square inch converts to 133.3654675 calories (th)/hour/cm². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.