Horsepowers (electric) to Terawatts Converter (hp (electric) to TW)

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Live Conversion • ISO 80000-4:2019 Certified

1 Horsepower (electric) = 7.46 × 10⁻¹⁰ Terawatt

1 hp (electric) = 7.46 × 10⁻¹⁰ TW • 1 TW = 1.340483 × 10⁹ hp (electric)

Decimals:

Certified Authority Value

0.00000000

From / Input

hp (electric)

Swap to Terawatt to Horsepower (electric)

To / Result

Quick Values:

Conversion Formula

To convert Horsepower (electric) to Terawatt, multiply by 7.46 × 10⁻¹⁰

hp (electric) × 7.46 × 10⁻¹⁰ = TW

Calculation: 1 hp (electric) × 7.46 × 10⁻¹⁰ = 7.46 × 10⁻¹⁰ TW

Common Horsepower (electric) to Terawatt Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Horsepower (electric) (hp (electric)) and Terawatt (TW).

Tap any row to calculate

Horsepower (electric) to Terawatt: Primary Direct Table (15 Steps)

Rule: 1 Horsepower (electric) is equal to 7.46 × 10⁻¹⁰ TW (Terawatt)

Horsepower (electric) to Terawatt Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 hp (electric) 7.46 × 10⁻¹³ TW	7.46 × 10⁻¹³
0.01 hp (electric) 7.46 × 10⁻¹² TW	7.46 × 10⁻¹²
0.1 hp (electric) 7.46 × 10⁻¹¹ TW	7.46 × 10⁻¹¹
0.5 hp (electric) 3.73 × 10⁻¹⁰ TW	3.73 × 10⁻¹⁰
1 hp (electric) 7.46 × 10⁻¹⁰ TW	7.46 × 10⁻¹⁰
2 hp (electric) 1.492 × 10⁻⁹ TW	1.492 × 10⁻⁹
5 hp (electric) 3.73 × 10⁻⁹ TW	3.73 × 10⁻⁹
10 hp (electric) 7.46 × 10⁻⁹ TW	7.46 × 10⁻⁹
20 hp (electric) 1.492 × 10⁻⁸ TW	1.492 × 10⁻⁸
25 hp (electric) 1.865 × 10⁻⁸ TW	1.865 × 10⁻⁸
50 hp (electric) 3.73 × 10⁻⁸ TW	3.73 × 10⁻⁸
100 hp (electric) 7.46 × 10⁻⁸ TW	7.46 × 10⁻⁸
250 hp (electric) 1.865 × 10⁻⁷ TW	1.865 × 10⁻⁷
500 hp (electric) 3.73 × 10⁻⁷ TW	3.73 × 10⁻⁷
1000 hp (electric) 7.46 × 10⁻⁷ TW	7.46 × 10⁻⁷

Terawatt to Horsepower (electric): Reciprocal Summary

Rule: 1 Terawatt is equal to 1.340483 × 10⁹ hp (electric) (Horsepower (electric))

Terawatt to Horsepower (electric) Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 TW 1.340483 × 10⁹ hp (electric)	1.34 × 10⁹
5 TW 6.702413 × 10⁹ hp (electric)	6.702 × 10⁹
10 TW 1.340483 × 10¹⁰ hp (electric)	1.34 × 10¹⁰
50 TW 6.702413 × 10¹⁰ hp (electric)	6.702 × 10¹⁰
100 TW 1.340483 × 10¹¹ hp (electric)	1.34 × 10¹¹

View Complete 15-Row Terawatt to Horsepower (electric) 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 Horsepower (electric) (hp (electric)) and Terawatt (TW):

Horsepower (electric) References:

Industrial three-phase AC induction electric motor continuous nameplate power (746 W) 1 hp (electric)

Terawatt References:

Total global average instantaneous primary energy consumption rate of all human civilization 18 TW
Peak electrical power consumption of the entire North American electrical power grid 1 TW

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

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

How to Convert Horsepower (electric) to Terawatt

Converting Horsepower (electric) (hp (electric)) to Terawatt (TW) 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 (electric) equals 7.46 × 10⁻¹⁰ Terawatt, while 1 TW equals 1.340483 × 10⁹ hp (electric).

Direct Factor1 hp (electric) = 7.46 × 10⁻¹⁰ TW

Inverse Ratio1 TW = 1.340483 × 10⁹ hp (electric)

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 (electric) = 746 watt (W)

2. Target SI Bridge (k_target):1 TW = 1 × 10¹² watt (W)

Step-by-step substitution for Horsepower (electric) → Terawatt:V(TW) = V(hp (electric)) × ( 746 / 1 × 10¹² ) = V(hp (electric)) × 7.46 × 10⁻¹⁰

Mathematical FormulaValue in Terawatt = Value in Horsepower (electric) × 7.46 × 10⁻¹⁰Direct computational formula applied for standard conversion.

Worked Example

To convert 12 Horsepower (electric) (hp (electric)) to Terawatt (TW): multiply 12 by 7.46 × 10⁻¹⁰ to get 8.952 × 10⁻⁹ TW. At an industrial engineering scale, 5000 hp (electric) converts to 3.73 × 10⁻⁶ TW.

Inverse check: 1 TW = 1.340483 × 10⁹ hp (electric).

Understanding Horsepower (electric) and Terawatt

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 Terawatt
Industrial three-phase AC induction electric motor continuous nameplate power (746 W)	`1 hp (electric)`	`7.46 × 10⁻¹⁰ TW`

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 Continuous Power & Energy Storage

Continuous Power & Load Duration Bridge (Joules • kWh • Megajoules • Watt-Hours • BTU)

Calculate total energy consumption and utility billing E = P × t across equipment operating duty cycles, bridging power [M L² T⁻³] with energy [M L² T⁻²].

Input Equipment Power Rating (P): hp (electric)

Select Operating Timespan: 3600 s

Governing Law: E = P × t

Vector: [W] × [s] → [J]

Live Calculated Bridge Equivalent:

1 hp (electric) at 1 Hour Continuous Run (3,600 s) = 2685600 J

Equals 2685.6 kJ • 2.6856 MJ • 0.746 kWh

SI Energy

2685600

Joules

Thermal Scale

2685.6

Kilojoules

Bulk Energy

2.6856

Megajoules

Electric Utility Meter

0.746

kWh

Kilowatt-Hours

Battery Capacity

746

Watt-Hours

Imperial Thermal

2545.4577

BTU

British Thermal Units

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 hp (electric) × 746 = 746 W
2. Apply Engineering Parameter (t):
Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
3. Execute Governing Physical Law in SI Units:
E = P × t = (746 W) × (3600 s) = 2685600 J
4. Convert to Standard Engineering Units:
• J: 2685600 × 1 = 2685600 J (Joules) • kJ: 2685600 × 0.001 = 2685.6 kJ (Kilojoules) • MJ: 2685600 × 1 × 10⁻⁶ = 2.6856 MJ (Megajoules) • kWh: 2685600 × 2.7778 × 10⁻⁷ = 0.746 kWh (Kilowatt-Hours) • Wh: 2685600 × 0.0002778 = 746 Wh (Watt-Hours) • BTU: 2685600 × 0.0009478 = 2545.4577 BTU (British Thermal Units)

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Engineering Substance / Operating Standard	Parameter Value (s)	Reference State / Condition	Typical Industrial & Engineering Application
1 Hour Continuous Run (3,600 s)	`3600`	3,600 s (1 hour)	Standard 1-hour utility metering basis
8-Hour Commercial Work Shift (28,800 s)	`28800`	28,800 s (8 hours)	Single factory shift run time
24-Hour Continuous Operation (86,400 s)	`86400`	86,400 s (1 day)	24/7 server rack or process pump
30-Day Monthly Billing Cycle (2,592,000 s)	`2592000`	2,592,000 s (720 hours)	Monthly utility electric billing cycle
1 Full Year (8,760 hours / 31,536,000 s)	`3.1536 × 10⁷`	31,536,000 s (1 year)	Annual facility energy footprint

Frequently Asked Questions

There are exactly 7.46 × 10⁻¹⁰ terawatts (TW) in 1 horsepower (electric) (hp (electric)). To calculate larger amounts manually, simply multiply your total number of horsepowers (electric) by the conversion multiplier of 7.46 × 10⁻¹⁰.

The mathematical formula to convert horsepowers (electric) to terawatts is: [value] * 7.46 × 10⁻¹⁰ = terawatts. 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 terawatts back to horsepowers (electric), you must divide your starting value by 7.46 × 10⁻¹⁰. Our bidirectional tool automatically computes this inverse equation the moment you type into the terawatt input field.

1 Terawatt is larger than 1 Horsepower (electric). Specifically, 1 Horsepower (electric) equals 7.46 × 10⁻¹⁰ terawatts, meaning 1 Terawatt is 1.3405 × 10⁹ times larger than 1 Horsepower (electric) (a difference of 9.13 orders of magnitude). Expressing measurements in horsepowers (electric) requires a larger numerical value to represent the equivalent physical magnitude.

A typical industrial three-phase AC induction electric motor continuous nameplate power (746 W) measures 1 hp (electric), which corresponds to 7.46 × 10⁻¹⁰ Terawatt (Terawatt).