Terawatts to Ergs/second Converter (TW to erg/s)

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Live Conversion • ISO 80000-4:2019 Certified

1 Terawatt = 1 × 10¹⁹ Erg/second

1 TW = 1 × 10¹⁹ erg/s • 1 erg/s = 1 × 10⁻¹⁹ TW

Decimals:

Certified Authority Value

10000000000000000000.00000000

erg/s

From / Input

Swap to Erg/second to Terawatt

To / Result

erg/s

Quick Values:

Conversion Formula

To convert Terawatt to Erg/second, multiply by 1 × 10¹⁹

TW × 1 × 10¹⁹ = erg/s

Calculation: 1 TW × 1 × 10¹⁹ = 1 × 10¹⁹ erg/s

Common Terawatt to Erg/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Terawatt (TW) and Erg/second (erg/s).

Tap any row to calculate

Terawatt to Erg/second: Primary Direct Table (15 Steps)

Rule: 1 Terawatt is equal to 1 × 10¹⁹ erg/s (Erg/second)

Terawatt to Erg/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 TW 1 × 10¹⁶ erg/s	1 × 10¹⁶
0.01 TW 1 × 10¹⁷ erg/s	1 × 10¹⁷
0.1 TW 1 × 10¹⁸ erg/s	1 × 10¹⁸
0.5 TW 5 × 10¹⁸ erg/s	5 × 10¹⁸
1 TW 1 × 10¹⁹ erg/s	1 × 10¹⁹
2 TW 2 × 10¹⁹ erg/s	2 × 10¹⁹
5 TW 5 × 10¹⁹ erg/s	5 × 10¹⁹
10 TW 1 × 10²⁰ erg/s	1 × 10²⁰
20 TW 2 × 10²⁰ erg/s	2 × 10²⁰
25 TW 2.5 × 10²⁰ erg/s	2.5 × 10²⁰
50 TW 5 × 10²⁰ erg/s	5 × 10²⁰
100 TW 1 × 10²¹ erg/s	1 × 10²¹
250 TW 2.5 × 10²¹ erg/s	2.5 × 10²¹
500 TW 5 × 10²¹ erg/s	5 × 10²¹
1000 TW 1 × 10²² erg/s	1 × 10²²

Erg/second to Terawatt: Reciprocal Summary

Rule: 1 Erg/second is equal to 1 × 10⁻¹⁹ TW (Terawatt)

Erg/second to Terawatt Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 erg/s 1 × 10⁻¹⁹ TW	1 × 10⁻¹⁹
5 erg/s 5 × 10⁻¹⁹ TW	5 × 10⁻¹⁹
10 erg/s 1 × 10⁻¹⁸ TW	1 × 10⁻¹⁸
50 erg/s 5 × 10⁻¹⁸ TW	5 × 10⁻¹⁸
100 erg/s 1 × 10⁻¹⁷ TW	1 × 10⁻¹⁷

View Complete 15-Row Erg/second to Terawatt 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 Terawatt (TW) and Erg/second (erg/s):

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

Erg/second References:

Classical CGS power unit (10^-7 W / 0.1 µW) 1 erg/s
Bioluminescent light emitted by single adult firefly insect flash 1000 erg/s

Tap any benchmark above to automatically calculate its exact equivalent in Erg/second.

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

How to Convert Terawatt to Erg/second

Converting Terawatt (TW) to Erg/second (erg/s) is a core calculation in Power, which measures the rate of energy expenditure, conversion, or work transfer per unit of time. This calculation bridges modern MKSA metric standards with the historical Gaussian centimetre-gram-second (CGS) electrostatic and electromagnetic framework. In CGS systems, electromagnetic units (such as statvolts, abvolts, dynes, ergs, and gauss) are formulated directly from mechanical dimensions, with electrostatic-to-electromagnetic relations tied to the speed of light in vacuum (c ≈ 2.99792458 × 10¹⁰ cm/s). Exactly 1 Terawatt translates to 1 × 10¹⁹ Erg/second (1 erg/s = 1 × 10⁻¹⁹ TW).

Direct Factor1 TW = 1 × 10¹⁹ erg/s

Inverse Ratio1 erg/s = 1 × 10⁻¹⁹ TW

Conversion ScaleSI to CGS Gaussian / ESU / EMU 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 TW = 1 × 10¹² watt (W)

2. Target SI Bridge (k_target):1 erg/s = 1 × 10⁻⁷ watt (W)

Step-by-step substitution for Terawatt → Erg/second:V(erg/s) = V(TW) × ( 1 × 10¹² / 1 × 10⁻⁷ ) = V(TW) × 1 × 10¹⁹

Mathematical FormulaValue in Erg/second = Value in Terawatt × 1 × 10¹⁹Direct computational formula applied for standard conversion.

Worked Example

To convert 12 Terawatt (TW) to Erg/second (erg/s): multiply 12 by 1 × 10¹⁹ to get 1.2 × 10²⁰ erg/s. At an industrial engineering scale, 1000 TW converts to 1 × 10²² erg/s.

Inverse check: 1 erg/s = 1 × 10⁻¹⁹ TW.

Understanding Terawatt and Erg/second

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 Erg/second
Total global average instantaneous primary energy consumption rate of all human civilization	`18 TW`	`1.8 × 10²⁰ erg/s`
Peak electrical power consumption of the entire North American electrical power grid	`1 TW`	`1 × 10¹⁹ erg/s`

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): TW

Select Operating Timespan: 3600 s

Governing Law: E = P × t

Vector: [W] × [s] → [J]

Live Calculated Bridge Equivalent:

1 TW at 1 Hour Continuous Run (3,600 s) = 3.6 × 10¹⁵ J

Equals 3.6 × 10¹² kJ • 3.6 × 10⁹ MJ • 1 × 10⁹ kWh

SI Energy

3.6 × 10¹⁵

Joules

Thermal Scale

3.6 × 10¹²

Kilojoules

Bulk Energy

3.6 × 10⁹

Megajoules

Electric Utility Meter

1 × 10⁹

kWh

Kilowatt-Hours

Battery Capacity

1 × 10¹²

Watt-Hours

Imperial Thermal

3.4121 × 10¹²

BTU

British Thermal Units

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 TW × 1 × 10¹² = 1 × 10¹² 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 = (1 × 10¹² W) × (3600 s) = 3.6 × 10¹⁵ J
4. Convert to Standard Engineering Units:
• J: 3.6 × 10¹⁵ × 1 = 3.6 × 10¹⁵ J (Joules) • kJ: 3.6 × 10¹⁵ × 0.001 = 3.6 × 10¹² kJ (Kilojoules) • MJ: 3.6 × 10¹⁵ × 1 × 10⁻⁶ = 3.6 × 10⁹ MJ (Megajoules) • kWh: 3.6 × 10¹⁵ × 2.7778 × 10⁻⁷ = 1 × 10⁹ kWh (Kilowatt-Hours) • Wh: 3.6 × 10¹⁵ × 0.0002778 = 1 × 10¹² Wh (Watt-Hours) • BTU: 3.6 × 10¹⁵ × 0.0009478 = 3.4121 × 10¹² 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 1 × 10¹⁹ ergs/second (erg/s) in 1 terawatt (TW). To calculate larger amounts manually, simply multiply your total number of terawatts by the conversion multiplier of 1 × 10¹⁹.

The mathematical formula to convert terawatts to ergs/second is: [value] * 1 × 10¹⁹ = ergs/second. 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 ergs/second back to terawatts, you must divide your starting value by 1 × 10¹⁹. Our bidirectional tool automatically computes this inverse equation the moment you type into the erg/second input field.

1 Terawatt is larger than 1 Erg/second. Specifically, 1 Terawatt equals exactly 1 × 10¹⁹ ergs/second, making it 1 × 10¹⁹ times larger (a difference of 19.00 orders of magnitude). Therefore, quantities expressed in ergs/second require a larger numerical value to represent the same physical amount.

A typical total global average instantaneous primary energy consumption rate of all human civilization measures 18 TW, which corresponds to 1.8 × 10²⁰ Erg Per Second (Erg/second).