Convert Joule to Newton-metre
1 joule = 1 newton-metre (N·m). For example, 10 joule = 10 newton-metre and 100 joule = 100 newton-metre. Type any value below to convert joule to newton-metre both ways — it runs entirely in your browser.
Torque vs energy: Newton-metre (N·m) is used both as a unit of ENERGY — where 1 N·m = 1 joule exactly — and as a unit of TORQUE (a twisting force × distance). This page converts the ENERGY meaning, so the figures above are correct for work and heat. A newton-metre of torque is a different physical quantity and does NOT convert into joules, kilowatt-hours or calories.
Quick answer: Joule to Newton-metre
1 Joule = 1 Newton-metre (J → N·m). To convert joule to newton-metre, multiply by 1. To convert newton-metre to joule, multiply by 1. The converter at the top does this instantly and both ways; the sections below give the formula, worked examples, a full conversion chart and answers to the most common joule-to-newton-metre questions.
How to convert Joule to Newton-metre
To convert joule to newton-metre, multiply the number of joule by the conversion factor 1, because 1 J = 1 N·m. The conversion is linear, so the same factor works for any value — whole numbers, decimals or fractions. For the reverse direction, 1 N·m = 1 J, so you divide by 1 (or multiply by 1) to turn newton-metre back into joule.
N·m = J × 1 ·
J = N·m × 1
- Write down the value you want to convert, in joule.
- Multiply it by 1.
- The result is the same area/length/quantity expressed in newton-metre.
Joule to Newton-metre — worked examples
Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5 joule is 5 newton-metre because 5 J × 1 = 5 N·m.
| Joule | Calculation | Newton-metre |
|---|---|---|
| 1 J | 1 J × 1 = 1 N·m | 1 N·m |
| 2 J | 2 J × 1 = 2 N·m | 2 N·m |
| 3 J | 3 J × 1 = 3 N·m | 3 N·m |
| 5 J | 5 J × 1 = 5 N·m | 5 N·m |
| 7 J | 7 J × 1 = 7 N·m | 7 N·m |
| 10 J | 10 J × 1 = 10 N·m | 10 N·m |
| 12 J | 12 J × 1 = 12 N·m | 12 N·m |
| 15 J | 15 J × 1 = 15 N·m | 15 N·m |
| 20 J | 20 J × 1 = 20 N·m | 20 N·m |
| 25 J | 25 J × 1 = 25 N·m | 25 N·m |
| 50 J | 50 J × 1 = 50 N·m | 50 N·m |
| 100 J | 100 J × 1 = 100 N·m | 100 N·m |
Common Joule to Newton-metre conversions
These are the joule-to-newton-metre values people look up most often. Every figure is computed from the exact factor, so you can rely on them for quick reference:
- 1 joule = 1 newton-metre
- 2 joule = 2 newton-metre
- 2.5 joule = 2.5 newton-metre
- 3 joule = 3 newton-metre
- 4 joule = 4 newton-metre
- 5 joule = 5 newton-metre
- 6 joule = 6 newton-metre
- 7 joule = 7 newton-metre
- 8 joule = 8 newton-metre
- 9 joule = 9 newton-metre
- 10 joule = 10 newton-metre
- 12 joule = 12 newton-metre
- 15 joule = 15 newton-metre
- 20 joule = 20 newton-metre
- 25 joule = 25 newton-metre
- 30 joule = 30 newton-metre
- 50 joule = 50 newton-metre
- 75 joule = 75 newton-metre
- 100 joule = 100 newton-metre
- 200 joule = 200 newton-metre
- 500 joule = 500 newton-metre
- 1000 joule = 1,000 newton-metre
Joule to Newton-metre conversion chart (both directions)
The chart below converts joule to newton-metre and newton-metre to joule side by side, so it works whichever way you need. 1 joule = 1 newton-metre, and 1 newton-metre = 1 joule.
| Joule → Newton-metre | Newton-metre → Joule |
|---|---|
| 0.25 J = 0.25 N·m | 0.25 N·m = 0.25 J |
| 0.5 J = 0.5 N·m | 0.5 N·m = 0.5 J |
| 1 J = 1 N·m | 1 N·m = 1 J |
| 2 J = 2 N·m | 2 N·m = 2 J |
| 3 J = 3 N·m | 3 N·m = 3 J |
| 4 J = 4 N·m | 4 N·m = 4 J |
| 5 J = 5 N·m | 5 N·m = 5 J |
| 6 J = 6 N·m | 6 N·m = 6 J |
| 7 J = 7 N·m | 7 N·m = 7 J |
| 8 J = 8 N·m | 8 N·m = 8 J |
| 9 J = 9 N·m | 9 N·m = 9 J |
| 10 J = 10 N·m | 10 N·m = 10 J |
| 12 J = 12 N·m | 12 N·m = 12 J |
| 15 J = 15 N·m | 15 N·m = 15 J |
| 20 J = 20 N·m | 20 N·m = 20 J |
| 25 J = 25 N·m | 25 N·m = 25 J |
| 30 J = 30 N·m | 30 N·m = 30 J |
| 40 J = 40 N·m | 40 N·m = 40 J |
| 50 J = 50 N·m | 50 N·m = 50 J |
| 75 J = 75 N·m | 75 N·m = 75 J |
| 100 J = 100 N·m | 100 N·m = 100 J |
| 150 J = 150 N·m | 150 N·m = 150 J |
| 200 J = 200 N·m | 200 N·m = 200 J |
| 250 J = 250 N·m | 250 N·m = 250 J |
| 500 J = 500 N·m | 500 N·m = 500 J |
| 1000 J = 1,000 N·m | 1000 N·m = 1,000 J |
Joule vs Newton-metre: which is bigger?
A joule is the larger unit: one joule equals 1 newton-metre. Put another way, you need 1 newton-metres to make a single joule.
What is a Joule? History, origin and usage
The joule is named after the English physicist James Prescott Joule (1818-1889), a Salford brewer’s son who, through painstaking experiments in the 1840s, measured the mechanical equivalent of heat and showed that work and heat are interchangeable forms of energy. The name was proposed by Wilhelm Siemens at an 1882 British Association meeting, and the joule was adopted as an international unit at the 1889 International Electrical Congress — just weeks before Joule himself died.
As the SI unit of energy, the joule underpins all of physics and engineering, measuring mechanical work, heat and electrical energy alike (one joule is also one watt-second). It appears on European food labels (usually as kilojoules), in battery specifications, and anywhere energy must be stated in coherent SI units.
One joule is roughly the energy needed to lift a small apple (about 100 grams) one metre against gravity, or the kinetic energy of a 56-gram tennis ball travelling about 6 m/s. Because one joule equals one newton-metre, the joule is dimensionally identical to the newton-metre of torque, yet the two describe different physical quantities.
What is a Newton-metre? History, origin and usage
The newton-metre honours Isaac Newton (1642-1727), whose laws of motion define force, and it is built directly from two SI units — the newton of force and the metre of distance. It leads a double life: as energy (work = force × distance moved) it equals exactly one joule, while as torque (a turning effort = force × lever arm) it is a separate physical quantity.
In everyday engineering the newton-metre is overwhelmingly a TORQUE unit — wheel-nut and bolt tightening specifications, engine output and tool ratings are quoted in N·m. As an energy unit it is interchangeable with the joule, but standards bodies discourage that usage to avoid mixing up turning effort with energy.
Although a newton-metre of torque and a joule of energy share identical SI base units (kg·m²·s⁻²), torque does not “convert” into joules, kilowatt-hours or calories — it is a vector quantity (a cross product), whereas energy is a scalar (a dot product). That is why a torque wrench is marked in N·m, never in joules.
Convert 1 Joule to other units
It can help to see a joule next to the other units it is commonly compared with. One joule (J) is equal to:
| 1 Joule equals | Unit |
|---|---|
| 1 N·m | Newton-metre |
| 0.001 kJ | Kilojoule |
| 0.000001 MJ | Megajoule |
| 0.0002777778 Wh | Watt-hour |
| 0.0000002777778 kWh | Kilowatt-hour |
| 0.0000000002777778 MWh | Megawatt-hour |
| 0.7375621 ft·lbf | Foot-pound |
| 6,241,509,000,000 MeV | Megaelectronvolt |
| 0.2390057 cal | Calorie |
| 0.0002390057 kcal | Kilocalorie |
| 0.0009478171 BTU | British Thermal Unit |
Convert 1 Newton-metre to other units
One newton-metre (N·m) is equal to:
| 1 Newton-metre equals | Unit |
|---|---|
| 1 J | Joule |
| 0.001 kJ | Kilojoule |
| 0.000001 MJ | Megajoule |
| 0.0002777778 Wh | Watt-hour |
| 0.0000002777778 kWh | Kilowatt-hour |
| 0.0000000002777778 MWh | Megawatt-hour |
| 0.7375621 ft·lbf | Foot-pound |
| 6,241,509,000,000 MeV | Megaelectronvolt |
| 0.2390057 cal | Calorie |
| 0.0002390057 kcal | Kilocalorie |
| 0.0009478171 BTU | British Thermal Unit |
Tips for converting Joule to Newton-metre
- To go from joule to newton-metre, multiply by 1; to go back, divide by 1 (or multiply by 1).
- For a quick mental estimate, remember that 1 joule ≈ 1 newton-metre, so 10 joule ≈ 10 newton-metre.
- The converter above keeps full precision; the tables round for readability, so use the tool for exact figures.
- Both fields update live as you type — change either side to convert in that direction.
How to use this Joule to Newton-metre converter
Type a number into the Joule field and the equivalent in Newton-metre appears instantly — there is no “convert” button to press and nothing is sent to a server, so it works offline once the page has loaded and is safe for any data. You can also type into the Newton-metre field to convert the other way (newton-metre to joule). Use the swap control to flip the two units, and copy the result with a single click. Because the calculation runs in your browser with full floating-point precision, the converter is more exact than the rounded figures shown in the reference chart above — use the chart for quick look-ups and the tool for precise work.
Accuracy and method
Every figure on this page — the formula, the worked examples, the conversion chart and the “convert to other units” tables — is computed from a single verified conversion factor (1 J = 1 N·m), never copied from a hand-typed lookup table that could drift. That factor is derived from each unit’s definition in terms of a common base unit, and an automated check re-verifies all of the site’s factors on every update, so the numbers here stay correct over time. This matters for joule-to-newton-metre conversions because a small rounding error in a published table compounds quickly at larger quantities; computing from the exact factor avoids that.
Sources
- BIPM — The International System of Units (SI Brochure) — the defining document for the SI, published by the International Bureau of Weights and Measures. It fixes the base unit that this conversion resolves to, which is why the factor here can be exact rather than approximate.
- NIST — Definitions of the SI base units — the US National Institute of Standards and Technology reference for the SI base units, used here as an independent cross-check on the base-unit definition.
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Frequently asked questions
- How many newton-metre are in 1 joule?
- 1 joule = 1 newton-metre (N·m). To convert any number of joule to newton-metre, multiply by 1.
- How do I convert joule to newton-metre?
- Multiply the number of joule by 1. For example, 10 joule = 10 × 1 = 10 newton-metre, and 25 joule = 25 newton-metre.
- How many joule are in 1 newton-metre?
- 1 newton-metre = 1 joule. So to convert newton-metre back to joule, multiply by 1.
- What is the formula to convert joule to newton-metre?
- newton-metre = joule × 1. The reverse formula is joule = newton-metre × 1.
- How much is 100 joule in newton-metre?
- 100 joule = 100 newton-metre. (And 1000 joule = 1,000 newton-metre.)
- Which is bigger, a joule or a newton-metre?
- A joule is larger: 1 joule = 1 newton-metre.
- Is this joule to newton-metre converter accurate?
- Yes — every value is computed from the exact 1 N·m per J factor (not rounded look-up tables), and the factors are re-verified automatically on every update.
- Can I convert newton-metre to joule too?
- Yes. The converter works both ways — enter a value in either field. 1 newton-metre = 1 joule.