What is the relationship between Watts and Watt-hours?

A Watt (W) is a unit of power measuring the instantaneous rate of energy consumption (1 Joule/second). A Watt-hour (Wh) or Kilowatt-hour (kWh) is a unit of total energy consumed over time. A 1,000-Watt (1 kW) heater running for 3 hours consumes exactly 3 kWh (10.8 Megajoules) of energy.

How do you calculate energy consumption cost from equipment wattage?

Energy (kWh) = [Power (Watts) × Hours of Operation] / 1,000. Total Cost = Energy (kWh) × Electricity Rate (/kWh). Operating a 1,500W space heater for 8 hours daily at 0.15/kWh costs: (1.5 kW × 8h) × 0.15 = 1.80 per day (54/month).

Horsepower (metric) to Gigawatt (hp (metric) to GW) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified

1 Horsepower (metric) = 7.3549875 × 10⁻⁷ Gigawatt

1 hp (metric) = 7.354988 × 10⁻⁷ GW • 1 GW = 1359621.617304 hp (metric)

Decimals:

Certified Authority Value

0.00000074

From / Input

hp (metric)

Swap to Gigawatt to Horsepower (metric)

To / Result

Quick Values:

1 hp (metric) 5 hp (metric) 10 hp (metric) 25 hp (metric) 50 hp (metric) 100 hp (metric) 250 hp (metric) 500 hp (metric) 1,000 hp (metric)

Conversion Formula

To convert Horsepower (metric) to Gigawatt, multiply by 7.3549875 × 10⁻⁷

hp (metric) × 7.3549875 × 10⁻⁷ = GW

Calculation: 1 hp (metric) × 7.3549875 × 10⁻⁷ = 7.3549875 × 10⁻⁷ GW

Common Horsepower (metric) to Gigawatt Calculations

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

Tap any row to calculate

Horsepower (metric) to Gigawatt: Primary Direct Table (15 Steps)

Rule: 1 Horsepower (metric) is equal to 7.354988 × 10⁻⁷ GW (Gigawatt)

Horsepower (metric) to Gigawatt Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 hp (metric) is equal to 7.354988 × 10⁻¹⁰ GW (Gigawatt)	7.355 × 10⁻¹⁰
0.01 hp (metric) is equal to 7.354987 × 10⁻⁹ GW (Gigawatt)	7.355 × 10⁻⁹
0.1 hp (metric) is equal to 7.354988 × 10⁻⁸ GW (Gigawatt)	7.355 × 10⁻⁸
0.5 hp (metric) is equal to 3.677494 × 10⁻⁷ GW (Gigawatt)	3.677 × 10⁻⁷
1 hp (metric) is equal to 7.354988 × 10⁻⁷ GW (Gigawatt)	7.355 × 10⁻⁷
2 hp (metric) is equal to 1.470998 × 10⁻⁶ GW (Gigawatt)	1.471 × 10⁻⁶
5 hp (metric) is equal to 3.677494 × 10⁻⁶ GW (Gigawatt)	3.677 × 10⁻⁶
10 hp (metric) is equal to 7.354987 × 10⁻⁶ GW (Gigawatt)	7.355 × 10⁻⁶
20 hp (metric) is equal to 1.470997 × 10⁻⁵ GW (Gigawatt)	1.471 × 10⁻⁵
25 hp (metric) is equal to 1.838747 × 10⁻⁵ GW (Gigawatt)	1.839 × 10⁻⁵
50 hp (metric) is equal to 3.677494 × 10⁻⁵ GW (Gigawatt)	3.677 × 10⁻⁵
100 hp (metric) is equal to 7.354987 × 10⁻⁵ GW (Gigawatt)	7.355 × 10⁻⁵
250 hp (metric) is equal to 0.000183875 GW (Gigawatt)	1.839 × 10⁻⁴
500 hp (metric) is equal to 0.000367749 GW (Gigawatt)	3.677 × 10⁻⁴
1000 hp (metric) is equal to 0.000735499 GW (Gigawatt)	7.355 × 10⁻⁴

Gigawatt to Horsepower (metric): Reciprocal Summary

Rule: 1 Gigawatt is equal to 1359621.617304 hp (metric) (Horsepower (metric))

Gigawatt to Horsepower (metric) Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 GW is equal to 1359621.617304 hp (metric) (Horsepower (metric))	1.36 × 10⁶
5 GW is equal to 6798108.08652 hp (metric) (Horsepower (metric))	6.798 × 10⁶
10 GW is equal to 1.359622 × 10⁷ hp (metric) (Horsepower (metric))	1.36 × 10⁷
50 GW is equal to 6.798108 × 10⁷ hp (metric) (Horsepower (metric))	6.798 × 10⁷
100 GW is equal to 1.359622 × 10⁸ hp (metric) (Horsepower (metric))	1.36 × 10⁸

View Complete 15-Row Gigawatt to Horsepower (metric) Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Horsepower (metric) (hp (metric)) and Gigawatt (GW):

Horsepower (metric) References:

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

Gigawatt References:

Large commercial nuclear power generating reactor station electrical output 1 GW
Hoover Dam hydroelectric power generating station maximum nameplate capacity 2.08 GW
Three Gorges Dam hydroelectric facility world record maximum power capacity 22.5 GW

Tap any benchmark above to automatically calculate its exact equivalent in Gigawatt.

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

How to Convert Horsepower (metric) to Gigawatt

Converting Horsepower (metric) (hp (metric)) to Gigawatt (GW) 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 7.354988 × 10⁻⁷ Gigawatt, while 1 GW equals 1359621.617304 hp (metric).

Direct Factor1 hp (metric) = 7.354988 × 10⁻⁷ GW

Inverse Ratio1 GW = 1359621.617304 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:

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 (k_source):1 hp (metric) = 735.49875 watt (W)

2. Target SI Bridge (k_target):1 GW = 1 × 10⁹ watt (W)

Step-by-step substitution for Horsepower (metric) → Gigawatt:V(GW) = V(hp (metric)) × ( 735.49875 / 1 × 10⁹ ) = V(hp (metric)) × 7.354988 × 10⁻⁷

Mathematical FormulaValue in Gigawatt = Value in Horsepower (metric) × 7.3549875 × 10⁻⁷Direct computational formula applied for standard conversion.

Worked Example

Converting 36 hp (metric) yields an exact output of 2.647795 × 10⁻⁵ GW in Gigawatt. Under higher industrial throughput, 2500 hp (metric) translates to 0.00183875 GW.

Inverse check: 1 GW = 1359621.617304 hp (metric).

Understanding Horsepower (metric) and Gigawatt

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 Reference	Reference Value	Converted to Gigawatt
European metric horsepower (DIN 70020) engine power rating standard (735.5 W)	`1 hp (metric)`	`7.354988 × 10⁻⁷ GW`

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.

Input Equipment Electrical / Mechanical Power (P): hp (metric)

Select Equipment Operating Duration (t): 3600 Seconds / Hours

Coupling: E = P × t

Forward Reverse

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

Megajoules

HVAC & Thermal

2509.63

BTU

British Thermal Units

SI Base Unit

2647795.5

Joules

Grid Power Scale

0.0007355

MWh

Megawatt-Hours

Mechanical Work

0.9863

hp·h

Horsepower-Hours

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 hp (metric) × 735.49875 = 735.49875 W
2. Apply Engineering Parameter (t):
Selected condition: 1-Hour Standard Benchmark Runtime at t = 3600 Seconds / Hours
3. Execute Governing Physical Law in SI Units:
E = P × t = (735.49875) × (3600) = 2647795.5 J
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

Frequently Asked Questions

There are exactly 7.3549875 × 10⁻⁷ gigawatts (GW) in 1 horsepower (metric) (hp (metric)). To calculate larger amounts manually, simply multiply your total number of horsepowers (metric) by the conversion multiplier of 7.3549875 × 10⁻⁷.

The mathematical formula to convert horsepowers (metric) to gigawatts is: [value] * 7.3549875 × 10⁻⁷ = gigawatts. 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 gigawatts back to horsepowers (metric), you must divide your starting value by 7.3549875 × 10⁻⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the gigawatt input field.

1 Gigawatt is larger than 1 Horsepower (metric). Specifically, 1 Horsepower (metric) equals 7.3549875 × 10⁻⁷ gigawatts, meaning 1 Gigawatt is 1359621.6173 times larger than 1 Horsepower (metric) (a difference of 6.13 orders of magnitude). Expressing measurements in horsepowers (metric) requires a larger numerical value to represent the equivalent physical magnitude.

A typical european metric horsepower (DIN 70020) engine power rating standard (735.5 W) measures 1 hp (metric), which corresponds to 7.355 × 10⁻⁷ GW (Gigawatt).

There is exactly 7.35500 × 10⁻⁷ Gigawatt in 1 Horsepower (metric). The precise equivalence is expressed as 1 hp (metric) = 7.35500 × 10⁻⁷ GW.

To convert Horsepower (metric) to Gigawatt, multiply the value by 7.35500 × 10⁻⁷. The ISO 80000 standard equation is: V(GW) = V(hp (metric)) × 7.35500 × 10⁻⁷.

The reverse formula from Gigawatt to Horsepower (metric) applies a multiplier of 1.35962 × 10⁶. The equation is: V(hp (metric)) = V(GW) × 1.35962 × 10⁶.

A Gigawatt (GW) measures large-scale energy infrastructure like nuclear power plants. Converting from metric horsepower, which defines automotive engine output, highlights the vast magnitude difference, as 1 metric hp is only 7.355 × 10⁻⁷ GW.

Related Horsepower (metric) and Gigawatt Conversions

Convert Horsepower (metric) to Other Units

Horsepower (metric) to Watt Horsepower (metric) to Exawatt Horsepower (metric) to Petawatt Horsepower (metric) to Terawatt Horsepower (metric) to Megawatt Horsepower (metric) to Kilowatt Horsepower (metric) to Hectowatt Horsepower (metric) to Dekawatt Horsepower (metric) to Deciwatt Horsepower (metric) to Centiwatt Horsepower (metric) to Milliwatt Horsepower (metric) to Microwatt

Convert Other Units to Gigawatt

Watt to Gigawatt Exawatt to Gigawatt Petawatt to Gigawatt Terawatt to Gigawatt Megawatt to Gigawatt Kilowatt to Gigawatt Hectowatt to Gigawatt Dekawatt to Gigawatt Deciwatt to Gigawatt Centiwatt to Gigawatt Milliwatt to Gigawatt Microwatt to Gigawatt

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