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Btu (IT)/hour to Horsepower (metric) (Btu/h to hp (metric)) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified
1 Btu (IT)/hour = 0.00039846576 Horsepower (metric)
1 Btu/h = 0.000398466 hp (metric) • 1 hp (metric) = 2509.625906 Btu/h
Btu (IT)/hour to Horsepower (metric): One Btu (IT)/hour is equal to 0.00039846576 Horsepowers (metric).
Certified Authority Value
0.00039847
hp (metric)
Exact: 1 hp (metric) ≡ 2509.6259059886 Btu/h
Btu/h
Btu/h
Swap to Horsepower (metric) to Btu (IT)/hour
hp (metric)
hp (metric) 0.00039846576
Quick Values:
1 Btu/h 5 Btu/h 10 Btu/h 25 Btu/h 50 Btu/h 100 Btu/h 250 Btu/h 500 Btu/h 1,000 Btu/h
Conversion Formula
To convert Btu (IT)/hour to Horsepower (metric), multiply by 0.00039846576
Btu/h × 0.00039846576 = hp (metric)

Calculation: 1 Btu/h × 0.00039846576 = 0.00039846576 hp (metric)

Common Btu (IT)/hour to Horsepower (metric) Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Btu (IT)/hour (Btu/h) and Horsepower (metric) (hp (metric)).

Tap any row to calculate
Btu (IT)/hour to Horsepower (metric): Primary Direct Table (15 Steps)
Btu (IT)/hour to Horsepower (metric) Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu/h is equal to 3.984658 × 10⁻⁷ hp (metric) (Horsepower (metric)) 3.985 × 10⁻⁷
0.01 Btu/h is equal to 3.984658 × 10⁻⁶ hp (metric) (Horsepower (metric)) 3.985 × 10⁻⁶
0.1 Btu/h is equal to 3.984658 × 10⁻⁵ hp (metric) (Horsepower (metric)) 3.985 × 10⁻⁵
0.5 Btu/h is equal to 0.000199233 hp (metric) (Horsepower (metric)) 1.992 × 10⁻⁴
1 Btu/h is equal to 0.000398466 hp (metric) (Horsepower (metric)) 3.985 × 10⁻⁴
2 Btu/h is equal to 0.000796932 hp (metric) (Horsepower (metric)) 7.969 × 10⁻⁴
5 Btu/h is equal to 0.00199233 hp (metric) (Horsepower (metric)) 1.992 × 10⁻³
10 Btu/h is equal to 0.00398466 hp (metric) (Horsepower (metric)) 3.985 × 10⁻³
20 Btu/h is equal to 0.00796932 hp (metric) (Horsepower (metric)) 7.969 × 10⁻³
25 Btu/h is equal to 0.00996164 hp (metric) (Horsepower (metric)) 9.962 × 10⁻³
50 Btu/h is equal to 0.0199233 hp (metric) (Horsepower (metric)) 1.992 × 10⁻²
100 Btu/h is equal to 0.0398466 hp (metric) (Horsepower (metric)) 3.985 × 10⁻²
250 Btu/h is equal to 0.0996164 hp (metric) (Horsepower (metric)) 9.962 × 10⁻²
500 Btu/h is equal to 0.199233 hp (metric) (Horsepower (metric)) 1.992 × 10⁻¹
1000 Btu/h is equal to 0.398466 hp (metric) (Horsepower (metric)) 3.985 × 10⁻¹
Horsepower (metric) to Btu (IT)/hour: Reciprocal Summary
Horsepower (metric) to Btu (IT)/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp (metric) is equal to 2509.625906 Btu/h (Btu (IT)/hour) 2.51 × 10³
5 hp (metric) is equal to 12548.12953 Btu/h (Btu (IT)/hour) 1.255 × 10⁴
10 hp (metric) is equal to 25096.25906 Btu/h (Btu (IT)/hour) 2.51 × 10⁴
50 hp (metric) is equal to 125481.295299 Btu/h (Btu (IT)/hour) 1.255 × 10⁵
100 hp (metric) is equal to 250962.590599 Btu/h (Btu (IT)/hour) 2.51 × 10⁵
View Complete 15-Row Horsepower (metric) to Btu (IT)/hour 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 (Btu/h) and Horsepower (metric) (hp (metric)):

Btu (IT)/hour References:

  • Commercial residential central air conditioner cooling power capacity (1 ton / 12,000 BTU/h) 12000 BTU/h
  • Standard residential natural gas kitchen cooking range surface burner 10000 BTU/h
  • Residential whole-home gas heating furnace thermal input rating 80000 BTU/h

Horsepower (metric) References:

  • European metric horsepower (DIN 70020) engine power rating standard (735.5 W) 1 hp (metric)

Tap any benchmark above to automatically calculate its exact equivalent in Horsepower (metric).

ISQ Dimension: [M L² T⁻³] Coherent SI Unit: watt (W) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Btu (IT)/hour to Horsepower (metric)

Converting Btu (IT)/hour (Btu/h) to Horsepower (metric) (hp (metric)) is a core calculation in Power, which measures the rate of energy expenditure, conversion, or work transfer per unit of time. 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 equals 0.000398466 Horsepower (metric), while 1 hp (metric) equals 2509.625906 Btu/h.

Direct Factor1 Btu/h = 0.000398466 hp (metric)
Inverse Ratio1 hp (metric) = 2509.625906 Btu/h
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 (W)) 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 = 0.293071 watt (W)
2. Target SI Bridge (ktarget):1 hp (metric) = 735.49875 watt (W)
Step-by-step substitution for Btu (IT)/hour → Horsepower (metric):V(hp (metric)) = V(Btu/h) × ( 0.293071 / 735.49875 ) = V(Btu/h) × 0.000398466
Mathematical FormulaValue in Horsepower (metric) = Value in Btu (IT)/hour × 0.00039846576Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 120 Btu (IT)/hour (Btu/h) produces 0.0478159 Horsepower (metric) (hp (metric)). In heavy-duty utility and industrial workloads, 100 Btu/h equals 0.0398466 hp (metric).

Inverse check: 1 hp (metric) = 2509.625906 Btu/h.

Understanding Btu (IT)/hour and Horsepower (metric)

Btu (IT)/hour

Btu/h
Imperial / US

A Btu (IT)/hour (Btu/h) is an imperial and US customary unit for power.

Applications & Practical Context

In practical power terms, a commercial residential central air conditioner cooling power capacity (1 ton / 12,000 BTU/h) equals 12000 BTU/h, a standard residential natural gas kitchen cooking range surface burner equals 10000 BTU/h, a residential whole-home gas heating furnace thermal input rating equals 80000 BTU/h.

Physical Setup

A power rating of 1 Btu/h corresponds to 0.293071 W (transferring energy at a rate of 0.293071 joules per second).

Conversion to SI Unit: watt (W)
1 Btu/h = 0.293071 W

Horsepower (metric)

hp (metric)
Standard Unit

A Horsepower (metric) (hp (metric)) is a recognized unit for power.

Applications & Practical Context

In practical power terms, a european metric horsepower (DIN 70020) engine power rating standard (735.5 W) equals 1 hp (metric).

Physical Setup

A power rating of 1 hp (metric) corresponds to 735.49875 W (transferring energy at a rate of 735.49875 joules per second).

Conversion to SI Unit: watt (W)
1 hp (metric) = 735.49875 W

Domain Metrology & Engineering Applications

Governing Law & Equation

Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using precision digital power analyzers (Yokogawa-type), absorption water-brake dynamometers, and RF thermistor bolometer mounts.

Primary Industry Sectors

Applied across electric vehicle powertrain dyno testing, renewable solar inverter rating, industrial steam turbine generation, and data center power management under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Horsepower (metric)
Commercial residential central air conditioner cooling power capacity (1 ton / 12,000 BTU/h)12000 BTU/h4.781589 hp (metric)
Standard residential natural gas kitchen cooking range surface burner10000 BTU/h3.984658 hp (metric)
Residential whole-home gas heating furnace thermal input rating80000 BTU/h31.877261 hp (metric)
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v) under ISO 80000 dimensional vector [M L² T⁻³].

Multi-Variable Engineering Bridge Grid Energy & Industrial Work

Continuous Power & Operating Duration Bridge (kWh • Megajoules • BTU • Average Power • Battery Runtime)

Bridge instantaneous work rate [M L² T⁻³] and accumulated energy consumption [M L² T⁻²] over operational shifts and duty cycles via the work-power equation E = P × t.

E = P × t
Live Calculated Bridge Equivalent:
1 Btu/h at 1-Hour Standard Benchmark Runtime = 0.0002931 kWh
Equals 0.001055 MJ • 1 BTU • 1055.06 J
Utility Standard
0.0002931
kWh
Kilowatt-Hours
SI Metric Energy
0.001055
MJ
Megajoules
HVAC & Thermal
1
BTU
British Thermal Units
SI Base Unit
1055.06
J
Joules
Grid Power Scale
2.930711 × 10⁻⁷
MWh
Megawatt-Hours
Mechanical Work
0.000393
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 Btu/h × 0.29307107 = 0.29307107 W
  2. 2. Apply Engineering Parameter (t):
    Selected condition: 1-Hour Standard Benchmark Runtime at t = 3600 Seconds / Hours
  3. 3. Execute Governing Physical Law in SI Units:
    E = P × t = (0.29307107) × (3600) = 1055.055853 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 1055.055853 × 2.7778 × 10⁻⁷ = 0.0002931 kWh (Kilowatt-Hours) • MJ: 1055.055853 × 1 × 10⁻⁶ = 0.001055 MJ (Megajoules) • BTU: 1055.055853 × 0.0009478 = 1 BTU (British Thermal Units) • J: 1055.055853 × 1 = 1055.06 J (Joules) • MWh: 1055.055853 × 2.7778 × 10⁻¹⁰ = 2.930711 × 10⁻⁷ MWh (Megawatt-Hours) • hp·h: 1055.055853 × 3.7251 × 10⁻⁷ = 0.000393 hp·h (Horsepower-Hours)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (Seconds / Hours) Reference State / Condition Typical Industrial & Engineering Application
1-Second Pulse (Inrush / Circuit Breaker) 1 1.0 second Motor inrush peak & capacitor discharge
1-Minute Short Cycle (Microwave / Lift) 60 60 seconds Elevator transit & commercial appliance duty
1-Hour Standard Benchmark Runtime 3600 3,600 seconds Standard utility kilowatt-hour energy basis
8-Hour Factory Shift (Industrial Machinery) 28800 8.0 hours Single industrial production line workday
24-Hour Continuous Day (Data Center / Pump) 86400 24.0 hours Always-on server racks & municipal water treatment
7-Day Continuous Week (Chemical Refining) 604800 168.0 hours Continuous manufacturing process plant run
30-Day Monthly Billing Cycle 2592000 720.0 hours Electric utility meter billing period
365-Day Annual Base Load Operation 3.1536 × 10⁷ 8,760 hours Grid generator annual capacity factor calculation
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Frequently Asked Questions

There are exactly 0.00039846576 horsepowers (metric) (hp (metric)) in 1 btu (it)/hour (Btu/h). To calculate larger amounts manually, simply multiply your total number of btus (it)/hour by the conversion multiplier of 0.00039846576.

The mathematical formula to convert btus (it)/hour to horsepowers (metric) is: [value] * 0.00039846576 = horsepowers (metric). 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 horsepowers (metric) back to btus (it)/hour, you must divide your starting value by 0.00039846576. Our bidirectional tool automatically computes this inverse equation the moment you type into the horsepower (metric) input field.

1 Horsepower (metric) is larger than 1 Btu (IT)/hour. Specifically, 1 Btu (IT)/hour equals 0.00039846576 horsepowers (metric), meaning 1 Horsepower (metric) is 2509.6259 times larger than 1 Btu (IT)/hour (a difference of 3.40 orders of magnitude). Expressing measurements in btus (it)/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical commercial residential central air conditioner cooling power capacity (1 ton / 12,000 BTU/h) measures 12000 BTU/h, which corresponds to 4.7816 hp (M) (Horsepower (metric)).

There are exactly 0.000398465 Horsepower (metric) in 1 Btu (IT)/hour. The base mathematical equivalent is 1 Btu/h = 0.000398465 hp (metric).

Multiply the power value in Btu (IT)/hour by the conversion factor of 0.000398465. The standard equation is V(hp (metric)) = V(Btu/h) × 0.000398465.

To perform the inverse conversion, multiply the power value in Horsepower (metric) by 2509.63. The exact equation is V(Btu/h) = V(hp (metric)) × 2509.63.

This metric bridges internal combustion or steam engine thermodynamic heat generation (Btu/h) against standard metric mechanical shaft power ratings.

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