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Watt to Horsepower (metric) (W to hp (metric)) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified
1 Watt = 0.0013596216 Horsepower (metric)
1 W = 0.00135962 hp (metric) • 1 hp (metric) = 735.49875 W
Watt to Horsepower (metric): One Watt is equal to 0.0013596216 Horsepowers (metric).
Certified Authority Value
0.00135962
hp (metric)
Exact: 1 hp (metric) ≡ 735.49875 W
W
W
Swap to Horsepower (metric) to Watt
hp (metric)
hp (metric) 0.0013596216
Quick Values:
1 W 5 W 10 W 25 W 50 W 100 W 250 W 500 W 1,000 W
Conversion Formula
To convert Watt to Horsepower (metric), multiply by 0.0013596216
W × 0.0013596216 = hp (metric)

Calculation: 1 W × 0.0013596216 = 0.0013596216 hp (metric)

Common Watt to Horsepower (metric) Calculations

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

Tap any row to calculate
Horsepower (metric) to Watt: Reciprocal Summary
Horsepower (metric) to Watt Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp (metric) is equal to 735.49875 W (Watt) 7.355 × 10²
5 hp (metric) is equal to 3677.49375 W (Watt) 3.677 × 10³
10 hp (metric) is equal to 7354.9875 W (Watt) 7.355 × 10³
50 hp (metric) is equal to 36774.9375 W (Watt) 3.677 × 10⁴
100 hp (metric) is equal to 73549.875 W (Watt) 7.355 × 10⁴
View Complete 15-Row Horsepower (metric) to Watt 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 (W) and Horsepower (metric) (hp (metric)):

Watt References:

  • Small decorative holiday LED string light bulb power draw 1 W
  • Fast-charging smartphone USB-C wall power adapter output 20 W
  • Average adult human resting metabolic heat dissipation output 100 W
  • High-performance desktop gaming computer power supply rating 750 W

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 Watt to Horsepower (metric)

Converting Watt (W) 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 Watt equals 0.00135962 Horsepower (metric), while 1 hp (metric) equals 735.49875 W.

Direct Factor1 W = 0.00135962 hp (metric)
Inverse Ratio1 hp (metric) = 735.49875 W
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 W = 1 watt (W)
2. Target SI Bridge (ktarget):1 hp (metric) = 735.49875 watt (W)
Step-by-step substitution for Watt → Horsepower (metric):V(hp (metric)) = V(W) × ( 1 / 735.49875 ) = V(W) × 0.00135962
Mathematical FormulaValue in Horsepower (metric) = Value in Watt × 0.0013596216Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Watt (W) to Horsepower (metric) (hp (metric)): multiply 50 by 0.00135962 to get 0.0679811 hp (metric). At an industrial engineering scale, 100 W converts to 0.135962 hp (metric).

Inverse check: 1 hp (metric) = 735.49875 W.

Understanding Watt and Horsepower (metric)

Watt

W
Coherent SI Unit

The watt (W) is the coherent SI-derived unit of power, named after Scottish inventor James Watt.

Applications & Practical Context

In practical power terms, a small decorative holiday LED string light bulb power draw equals 1 W, a fast-charging smartphone USB-C wall power adapter output equals 20 W, a average adult human resting metabolic heat dissipation output equals 100 W.

Physical Setup

A power rating of 1 watt corresponds to the energetic rate of expending or transferring 1 joule of energy per second (1 W = 1 J/s).

Conversion to SI Unit: watt (W)
1 W = 1 J/s (SI Standard)

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)
Small decorative holiday LED string light bulb power draw1 W0.00135962 hp (metric)
Fast-charging smartphone USB-C wall power adapter output20 W0.0271924 hp (metric)
Average adult human resting metabolic heat dissipation output100 W0.135962 hp (metric)
High-performance desktop gaming computer power supply rating750 W1.019716 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 W at 1-Hour Standard Benchmark Runtime = 0.001 kWh
Equals 0.0036 MJ • 3.41 BTU • 3600 J
Utility Standard
0.001
kWh
Kilowatt-Hours
SI Metric Energy
0.0036
MJ
Megajoules
HVAC & Thermal
3.41
BTU
British Thermal Units
SI Base Unit
3600
J
Joules
Grid Power Scale
1 × 10⁻⁶
MWh
Megawatt-Hours
Mechanical Work
0.001341
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 W × 1 = 1 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 = (1) × (3600) = 3600 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 3600 × 2.7778 × 10⁻⁷ = 0.001 kWh (Kilowatt-Hours) • MJ: 3600 × 1 × 10⁻⁶ = 0.0036 MJ (Megajoules) • BTU: 3600 × 0.0009478 = 3.41 BTU (British Thermal Units) • J: 3600 × 1 = 3600 J (Joules) • MWh: 3600 × 2.7778 × 10⁻¹⁰ = 1 × 10⁻⁶ MWh (Megawatt-Hours) • hp·h: 3600 × 3.7251 × 10⁻⁷ = 0.001341 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 0.0013596216 horsepowers (metric) (hp (metric)) in 1 watt (W). To calculate larger amounts manually, simply multiply your total number of watts by the conversion multiplier of 0.0013596216.

The mathematical formula to convert watts to horsepowers (metric) is: [value] * 0.0013596216 = 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 watts, you must divide your starting value by 0.0013596216. 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 Watt. Specifically, 1 Watt equals 0.0013596216 horsepowers (metric), meaning 1 Horsepower (metric) is 735.4988 times larger than 1 Watt (a difference of 2.87 orders of magnitude). Expressing measurements in watts requires a larger numerical value to represent the equivalent physical magnitude.

A typical small decorative holiday LED string light bulb power draw measures 1 W, which corresponds to 0.00136 hp (M) (Horsepower (metric)).

There are 0.00135962 Horsepower (metric) in 1 Watt. The exact equivalence is expressed as 1 W = 0.00135962 hp (metric).

To convert a power value from Watt to Horsepower (metric), multiply the power in Watt by 0.00135962. The formal equation is: V(hp (metric)) = V(W) × 0.00135962.

To convert a power value from Horsepower (metric) to Watt, multiply the power in Horsepower (metric) by 735.5. The reverse equation is: V(W) = V(hp (metric)) × 735.5.

Converting Watts to metric Horsepower is standard practice in automotive engineering and industrial motor specifications, providing a benchmark equivalent for continuous output in mechanical systems.

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