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

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Live Conversion • ISO 80000-4:2019 Certified
1 Horsepower (metric) = 735.49875 Watt
1 hp (metric) = 735.49875 W • 1 W = 0.00135962 hp (metric)
Horsepower (metric) to Watt: One Horsepower (metric) is equal to 735.49875 Watts.
Certified Authority Value
735.49875000
W
Exact: 1 W ≡ 0.001359621617 hp (metric)
hp (metric)
hp (metric)
W
W 735.49875
Conversion Formula
To convert Horsepower (metric) to Watt, multiply by 735.49875
hp (metric) × 735.49875 = W

Calculation: 1 hp (metric) × 735.49875 = 735.49875 W

Common Horsepower (metric) to Watt Calculations

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

Tap any row to calculate
Watt to Horsepower (metric): Reciprocal Summary

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 Horsepower (metric) (hp (metric)) and Watt (W):

Horsepower (metric) References:

  • European metric horsepower (DIN 70020) engine power rating standard (735.5 W) 1 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
ISQ Dimension: [M L² T⁻³] Coherent SI Unit: watt (W) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Horsepower (metric) to Watt

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

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

Evaluating an input of 12 Horsepower (metric) (hp (metric)) produces 8825.985 Watt (W). In heavy-duty utility and industrial workloads, 1000 hp (metric) equals 735498.75 W.

Inverse check: 1 W = 0.00135962 hp (metric).

Understanding Horsepower (metric) and Watt

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

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)

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 Watt
European metric horsepower (DIN 70020) engine power rating standard (735.5 W)1 hp (metric)735.49875 W
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 hp (metric) at 1-Hour Standard Benchmark Runtime = 0.7355 kWh
Equals 2.6478 MJ • 2509.63 BTU • 2647795.5 J
Utility Standard
0.7355
kWh
Kilowatt-Hours
SI Metric Energy
2.6478
MJ
Megajoules
HVAC & Thermal
2509.63
BTU
British Thermal Units
SI Base Unit
2647795.5
J
Joules
Grid Power Scale
0.0007355
MWh
Megawatt-Hours
Mechanical Work
0.9863
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 hp (metric) × 735.49875 = 735.49875 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 = (735.49875) × (3600) = 2647795.5 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 2647795.5 × 2.7778 × 10⁻⁷ = 0.7355 kWh (Kilowatt-Hours) • MJ: 2647795.5 × 1 × 10⁻⁶ = 2.6478 MJ (Megajoules) • BTU: 2647795.5 × 0.0009478 = 2509.63 BTU (British Thermal Units) • J: 2647795.5 × 1 = 2647795.5 J (Joules) • MWh: 2647795.5 × 2.7778 × 10⁻¹⁰ = 0.0007355 MWh (Megawatt-Hours) • hp·h: 2647795.5 × 3.7251 × 10⁻⁷ = 0.9863 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 735.49875 watts (W) in 1 horsepower (metric) (hp (metric)). To calculate larger amounts manually, simply multiply your total number of horsepowers (metric) by the conversion multiplier of 735.49875.

The mathematical formula to convert horsepowers (metric) to watts is: [value] * 735.49875 = watts. 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 watts back to horsepowers (metric), you must divide your starting value by 735.49875. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt input field.

1 Horsepower (metric) is larger than 1 Watt. Specifically, 1 Horsepower (metric) equals exactly 735.49875 watts, making it 735.4988 times larger (a difference of 2.87 orders of magnitude). Therefore, quantities expressed in watts require a larger numerical value to represent the same physical amount.

A typical european metric horsepower (DIN 70020) engine power rating standard (735.5 W) measures 1 hp (metric), which corresponds to 735.4988 W (Watt).

There are exactly 735.5 Watts in 1 metric Horsepower. The standardized equation is 1 hp (metric) = 735.5 W.

To calculate watts from metric horsepower, use the formula V(W) = V(hp (metric)) × 735.5.

The reverse calculation is achieved by multiplying the Watt value by 0.00135962. Formula: V(hp (metric)) = V(W) × 0.00135962.

Metric horsepower (PS, cv, pk) equates to the power required to lift 75 kilograms by 1 meter per second (735.5 W). Imperial (mechanical) horsepower lifts 550 pounds by 1 foot per second and equals roughly 745.7 W.