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Kilowatt to Horsepower (metric) (kW to hp (metric)) Calculator

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Live Conversion • ISO 80000-4:2019 Certified
1 Kilowatt = 1.35962162 Horsepower (metric)
1 kW = 1.359622 hp (metric) • 1 hp (metric) = 0.735499 kW
Kilowatt to Horsepower (metric): One Kilowatt is equal to 1.35962162 Horsepowers (metric).
Certified Authority Value
1.35962162
hp (metric)
Exact: 1 hp (metric) ≡ 0.73549875 kW
kW
kW
Swap to Horsepower (metric) to Kilowatt
hp (metric)
hp (metric) 1.35962162
Quick Values:
1 kW 5 kW 10 kW 25 kW 50 kW 100 kW 250 kW 500 kW 1,000 kW
Conversion Formula
To convert Kilowatt to Horsepower (metric), multiply by 1.35962162
kW × 1.35962162 = hp (metric)

Calculation: 1 kW × 1.35962162 = 1.35962162 hp (metric)

Common Kilowatt to Horsepower (metric) Calculations

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

Tap any row to calculate
Horsepower (metric) to Kilowatt: Reciprocal Summary
Horsepower (metric) to Kilowatt Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp (metric) is equal to 0.735499 kW (Kilowatt) 7.355 × 10⁻¹
5 hp (metric) is equal to 3.677494 kW (Kilowatt) 3.677 × 10⁰
10 hp (metric) is equal to 7.354988 kW (Kilowatt) 7.355 × 10⁰
50 hp (metric) is equal to 36.774938 kW (Kilowatt) 3.677 × 10¹
100 hp (metric) is equal to 73.549875 kW (Kilowatt) 7.355 × 10¹
View Complete 15-Row Horsepower (metric) to Kilowatt 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 (kW) and Horsepower (metric) (hp (metric)):

Kilowatt References:

  • Standard commercial household kitchen countertop microwave oven heating power 1 kW
  • Standard residential single-family electric water heater heating element 4.5 kW
  • Level 2 residential electric vehicle (EV) home charging station power 7.2 kW
  • Compact urban passenger electric automobile drive motor peak output 100 kW

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 Kilowatt to Horsepower (metric)

Converting Kilowatt (kW) 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 Kilowatt equals 1.359622 Horsepower (metric), while 1 hp (metric) equals 0.735499 kW.

Direct Factor1 kW = 1.359622 hp (metric)
Inverse Ratio1 hp (metric) = 0.735499 kW
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 kW = 1000 watt (W)
2. Target SI Bridge (ktarget):1 hp (metric) = 735.49875 watt (W)
Step-by-step substitution for Kilowatt → Horsepower (metric):V(hp (metric)) = V(kW) × ( 1000 / 735.49875 ) = V(kW) × 1.359622
Mathematical FormulaValue in Horsepower (metric) = Value in Kilowatt × 1.35962162Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 75 kW, applying the conversion factor yields exactly 101.971621 hp (metric). At larger operational scale, 100 Kilowatt corresponds to 135.962162 hp (metric).

Inverse check: 1 hp (metric) = 0.735499 kW.

Understanding Kilowatt and Horsepower (metric)

Kilowatt

kW
SI Multiple

A Kilowatt (kW) is a decimal multiple of the SI-derived unit for power.

Applications & Practical Context

In practical power terms, a standard commercial household kitchen countertop microwave oven heating power equals 1 kW, a standard residential single-family electric water heater heating element equals 4.5 kW, a level 2 residential electric vehicle (EV) home charging station power equals 7.2 kW.

Physical Setup

A power rating of 1 kW corresponds to 1000 W (transferring energy at a rate of 1000 joules per second).

Conversion to SI Unit: watt (W)
1 kW = 1000 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)
Standard commercial household kitchen countertop microwave oven heating power1 kW1.359622 hp (metric)
Standard residential single-family electric water heater heating element4.5 kW6.118297 hp (metric)
Level 2 residential electric vehicle (EV) home charging station power7.2 kW9.789276 hp (metric)
Compact urban passenger electric automobile drive motor peak output100 kW135.962162 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 kW at 1-Hour Standard Benchmark Runtime = 1 kWh
Equals 3.6 MJ • 3412.14 BTU • 3600000 J
Utility Standard
1
kWh
Kilowatt-Hours
SI Metric Energy
3.6
MJ
Megajoules
HVAC & Thermal
3412.14
BTU
British Thermal Units
SI Base Unit
3600000
J
Joules
Grid Power Scale
0.001
MWh
Megawatt-Hours
Mechanical Work
1.341
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 kW × 1000 = 1000 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 = (1000) × (3600) = 3600000 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 3600000 × 2.7778 × 10⁻⁷ = 1 kWh (Kilowatt-Hours) • MJ: 3600000 × 1 × 10⁻⁶ = 3.6 MJ (Megajoules) • BTU: 3600000 × 0.0009478 = 3412.14 BTU (British Thermal Units) • J: 3600000 × 1 = 3600000 J (Joules) • MWh: 3600000 × 2.7778 × 10⁻¹⁰ = 0.001 MWh (Megawatt-Hours) • hp·h: 3600000 × 3.7251 × 10⁻⁷ = 1.341 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 1.35962162 horsepowers (metric) (hp (metric)) in 1 kilowatt (kW). To calculate larger amounts manually, simply multiply your total number of kilowatts by the conversion multiplier of 1.35962162.

The mathematical formula to convert kilowatts to horsepowers (metric) is: [value] * 1.35962162 = 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 kilowatts, 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) input field.

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

A typical standard commercial household kitchen countertop microwave oven heating power measures 1 kW, which corresponds to 1.3596 hp (M) (Horsepower (metric)).

There are approximately 1.35962 metric horsepower in 1 kilowatt (1 kW = 1.35962 hp (metric)). One metric horsepower (PS or CV) is defined as the power required to raise 75 kilograms against Earth's gravitational field at 1 meter per second (735.49875 W).

To convert power from kilowatts to metric horsepower, multiply the power value in kilowatts by 1.35962:
V(hp (metric)) = V(kW) × 1.35962

To convert power from metric horsepower to kilowatts, multiply the value in metric horsepower by 0.7355 (or divide by 1.35962):
V(kW) = V(hp (metric)) × 0.7355

A compact European passenger car rated at 100 kW produces approximately 135.96 hp (metric) (PS). Standard EV motors rated at 150 kW equal roughly 203.94 hp (metric).

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