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Kilowatt-hour to Horsepower (metric) hour (kWh to hp·h (metric)) Converter

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Live Conversion • ISO 80000-5:2019 Certified
1 Kilowatt-hour = 1.35962162 Horsepower (metric) hour
1 kWh = 1.359622 hp·h (metric) • 1 hp·h (metric) = 0.735499 kWh
Kilowatt-hour to Horsepower (metric) hour: One Kilowatt-hour is equal to 1.35962162 Horsepower (metric) hours.
Certified Authority Value
1.35962162
hp·h (metric)
Exact: 1 hp·h (metric) ≡ 0.73549875 kWh
kWh
kWh
Swap to Horsepower (metric) hour to Kilowatt-hour
hp·h (metric)
hp·h (metric) 1.35962162
Quick Values:
1 kWh 5 kWh 10 kWh 25 kWh 50 kWh 100 kWh 250 kWh 500 kWh 1,000 kWh
Conversion Formula
To convert Kilowatt-hour to Horsepower (metric) hour, multiply by 1.35962162
kWh × 1.35962162 = hp·h (metric)

Calculation: 1 kWh × 1.35962162 = 1.35962162 hp·h (metric)

Common Kilowatt-hour to Horsepower (metric) hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilowatt-hour (kWh) and Horsepower (metric) hour (hp·h (metric)).

Tap any row to calculate
Kilowatt-hour to Horsepower (metric) hour: Primary Direct Table (15 Steps)
Kilowatt-hour to Horsepower (metric) hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 kWh is equal to 0.00135962 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10⁻³
0.01 kWh is equal to 0.0135962 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10⁻²
0.1 kWh is equal to 0.135962 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10⁻¹
0.5 kWh is equal to 0.679811 hp·h (metric) (Horsepower (metric) hour) 6.798 × 10⁻¹
1 kWh is equal to 1.359622 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10⁰
2 kWh is equal to 2.719243 hp·h (metric) (Horsepower (metric) hour) 2.719 × 10⁰
5 kWh is equal to 6.798108 hp·h (metric) (Horsepower (metric) hour) 6.798 × 10⁰
10 kWh is equal to 13.596216 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10¹
20 kWh is equal to 27.192432 hp·h (metric) (Horsepower (metric) hour) 2.719 × 10¹
25 kWh is equal to 33.99054 hp·h (metric) (Horsepower (metric) hour) 3.399 × 10¹
50 kWh is equal to 67.981081 hp·h (metric) (Horsepower (metric) hour) 6.798 × 10¹
100 kWh is equal to 135.962162 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10²
250 kWh is equal to 339.905404 hp·h (metric) (Horsepower (metric) hour) 3.399 × 10²
500 kWh is equal to 679.810809 hp·h (metric) (Horsepower (metric) hour) 6.798 × 10²
1000 kWh is equal to 1359.621617 hp·h (metric) (Horsepower (metric) hour) 1.36 × 10³
Horsepower (metric) hour to Kilowatt-hour: Reciprocal Summary
Horsepower (metric) hour to Kilowatt-hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp·h (metric) is equal to 0.735499 kWh (Kilowatt-hour) 7.355 × 10⁻¹
5 hp·h (metric) is equal to 3.677494 kWh (Kilowatt-hour) 3.677 × 10⁰
10 hp·h (metric) is equal to 7.354988 kWh (Kilowatt-hour) 7.355 × 10⁰
50 hp·h (metric) is equal to 36.774938 kWh (Kilowatt-hour) 3.677 × 10¹
100 hp·h (metric) is equal to 73.549875 kWh (Kilowatt-hour) 7.355 × 10¹
View Complete 15-Row Horsepower (metric) hour to Kilowatt-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 Kilowatt-hour (kWh) and Horsepower (metric) hour (hp·h (metric)):

Kilowatt-hour References:

  • Electrical energy consumed by running a 1,000W room space heater for one hour 1 kWh
  • Total battery storage capacity of a modern electric commuter bicycle 0.5 kWh
  • Average daily household electrical energy consumption in the United States 30 kWh
  • Standard full-size long-range electric vehicle (EV) battery pack capacity 75 kWh

Horsepower (metric) hour References:

  • Mechanical work performed by one metric horsepower engine running for one hour (2.648 MJ) 1 hp·h (metric)

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

ISQ Dimension: [M L² T⁻²] Coherent SI Unit: joule (J) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Kilowatt-hour to Horsepower (metric) hour

Converting Kilowatt-hour (kWh) to Horsepower (metric) hour (hp·h (metric)) is a core calculation in Energy and Work, which quantifies the physical capacity to perform mechanical work, generate heat, or emit electromagnetic radiation. 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 Kilowatt-hour equals 1.359622 Horsepower (metric) hour, while 1 hp·h (metric) equals 0.735499 kWh.

Direct Factor1 kWh = 1.359622 hp·h (metric)
Inverse Ratio1 hp·h (metric) = 0.735499 kWh
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 (joule (J)) 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 kWh = 3600000 joule (J)
2. Target SI Bridge (ktarget):1 hp·h (metric) = 2647795.5 joule (J)
Step-by-step substitution for Kilowatt-hour → Horsepower (metric) hour:V(hp·h (metric)) = V(kWh) × ( 3600000 / 2647795.5 ) = V(kWh) × 1.359622
Mathematical FormulaValue in Horsepower (metric) hour = Value in Kilowatt-hour × 1.35962162Direct computational formula applied for standard conversion.
Worked Example

To convert 24 Kilowatt-hour (kWh) to Horsepower (metric) hour (hp·h (metric)): multiply 24 by 1.359622 to get 32.630919 hp·h (metric). At an industrial engineering scale, 1000 kWh converts to 1359.621617 hp·h (metric).

Inverse check: 1 hp·h (metric) = 0.735499 kWh.

Understanding Kilowatt-hour and Horsepower (metric) hour

Kilowatt-hour

kWh
Utility Unit

The kilowatt-hour (kWh) is a non-SI metric composite unit of energy commonly used in billing electrical utilities.

Applications & Practical Context

In practical energy terms, a electrical energy consumed by running a 1,000W room space heater for one hour equals 1 kWh, a total battery storage capacity of a modern electric commuter bicycle equals 0.5 kWh, a average daily household electrical energy consumption in the United States equals 30 kWh.

Physical Setup

A continuous electrical power consumption of 1,000 watts sustained steadily over 1 full hour (equivalent to exactly 3.6 megajoules).

Conversion to SI Unit: joule (J)
1 kWh = 3,600,000 J (3.6 MJ)

Horsepower (metric) hour

hp·h (metric)
Standard Unit

A Horsepower (metric) hour (hp·h (metric)) is a recognized unit for energy and work.

Applications & Practical Context

In practical energy terms, a mechanical work performed by one metric horsepower engine running for one hour (2.648 MJ) equals 1 hp·h (metric).

Physical Setup

An energy quantity of 1 hp·h (metric) corresponds to 2647795.5 J (performing 2647795.5 joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 hp·h (metric) = 2647795.5 J

Domain Metrology & Engineering Applications

Governing Law & Equation

First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using isoperibol bomb calorimeters, optical laser pulse joulemeters, and digital revenue-grade electric energy meters.

Primary Industry Sectors

Applied across electric power utility metering, thermal energy storage design, chemical plant process enthalpies, and ballistic impact engineering under international metrology standard ISO 80000-5:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Horsepower (metric) hour
Electrical energy consumed by running a 1,000W room space heater for one hour1 kWh1.359622 hp·h (metric)
Total battery storage capacity of a modern electric commuter bicycle0.5 kWh0.679811 hp·h (metric)
Average daily household electrical energy consumption in the United States30 kWh40.788649 hp·h (metric)
Standard full-size long-range electric vehicle (EV) battery pack capacity75 kWh101.971621 hp·h (metric)
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W) under ISO 80000 dimensional vector [M L² T⁻²].

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 kWh at 1-Hour Standard Benchmark Runtime = 3600.0003 kWh
Equals 12960 MJ • 1.23 × 10⁷ BTU • 1.3 × 10¹⁰ J
Utility Standard
3600.0003
kWh
Kilowatt-Hours
SI Metric Energy
12960
MJ
Megajoules
HVAC & Thermal
1.23 × 10⁷
BTU
British Thermal Units
SI Base Unit
1.3 × 10¹⁰
J
Joules
Grid Power Scale
3.6
MWh
Megawatt-Hours
Mechanical Work
4827.6791
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 kWh × 3600000 = 3600000 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 = (3600000) × (3600) = 1.296 × 10¹⁰ J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 1.296 × 10¹⁰ × 2.7778 × 10⁻⁷ = 3600.0003 kWh (Kilowatt-Hours) • MJ: 1.296 × 10¹⁰ × 1 × 10⁻⁶ = 12960 MJ (Megajoules) • BTU: 1.296 × 10¹⁰ × 0.0009478 = 1.23 × 10⁷ BTU (British Thermal Units) • J: 1.296 × 10¹⁰ × 1 = 1.3 × 10¹⁰ J (Joules) • MWh: 1.296 × 10¹⁰ × 2.7778 × 10⁻¹⁰ = 3.6 MWh (Megawatt-Hours) • hp·h: 1.296 × 10¹⁰ × 3.7251 × 10⁻⁷ = 4827.6791 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

The mathematical formula to convert kilowatt-hours to horsepower (metric) hours is: [value] * 1.35962162 = horsepower (metric) hours. 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 horsepower (metric) hours back to kilowatt-hours, you must divide your starting value by 1.35962162. Our bidirectional tool automatically computes this inverse equation the moment you type into the horsepower (metric) hour input field.

1 Kilowatt-hour is larger than 1 Horsepower (metric) hour. Specifically, 1 Kilowatt-hour equals exactly 1.35962162 horsepower (metric) hours, making it 1.3596 times larger (a difference of 0.13 orders of magnitude). Therefore, quantities expressed in horsepower (metric) hours require a larger numerical value to represent the same physical amount.

A typical electrical energy consumed by running a 1,000W room space heater for one hour measures 1 kWh, which corresponds to 1.3596 Horsepower Metric Hour (Horsepower (metric) hour).

In mechanical engineering standards, 1 kWh = 1.35962 hp·h (metric). This derives from 1 hp (metric) = 0.73549875 kW (75 kgf·m/s).

To convert energy from kilowatt-hours (V(kWh)) to metric horsepower-hours (V(hp·h (metric))), multiply by 1.35962:
V(hp·h (metric)) = V(kWh) × 1.35962

To convert energy from metric horsepower-hours (V(hp·h (metric))) to kilowatt-hours (V(kWh)), multiply by 0.735499:
V(kWh) = V(hp·h (metric)) × 0.735499

A 10 hp (metric) industrial motor operating at nominal full capacity for 1 hour performs 10 hp·h (metric) of mechanical work, which draws 7.355 kWh of electrical energy ignoring system losses.

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