Watt Hours to Kilojoules
Convert watt hours (Wh) to kilojoules (kJ). Both measure work and power, and the conversion comes up in nutrition, electricity, fitness work.
The Formula
``
kilojoules = watt hours Ć 3.6
watt hours = kilojoules Ć 0.277777777778
`
One watt hour is 3.6 kilojoules, and one kilojoule is 0.277778 watt hours.
Conversion Table
| Watt Hours | Kilojoules |
|---|---|
| 1 Wh | 3.6 kJ |
| 2 Wh | 7.2 kJ |
| 5 Wh | 18 kJ |
| 10 Wh | 36 kJ |
| 25 Wh | 90 kJ |
| 50 Wh | 180 kJ |
| 100 Wh | 360 kJ |
| 500 Wh | 1,800 kJ |
| 1,000 Wh | 3,600 kJ |
The Other Direction
| Kilojoules | Watt Hours |
|---|---|
| 1 kJ | 0.277778 Wh |
| 2 kJ | 0.555556 Wh |
| 5 kJ | 1.3889 Wh |
| 10 kJ | 2.7778 Wh |
| 25 kJ | 6.9444 Wh |
| 50 kJ | 13.8889 Wh |
| 100 kJ | 27.7778 Wh |
| 500 kJ | 138.8889 Wh |
| 1,000 kJ | 277.7778 Wh |
What Each Unit Is
Watt Hours (Wh) ā one watt sustained for one hour, or 3,600 joules. The practical electrical energy unit, following the adoption of the watt.
Kilojoules (kJ) ā 1,000 joules. The metric food-energy unit outside North America.
A Sense of Scale
A phone battery holds 12ā20 Wh- A laptop battery is 50ā100 Wh
- An apple holds about 400 kJ
- Daily intake is around 8,700 kJ
Doing It in Your Head
Multiply by 11, then divide by 3. That is off by 1.85% ā close enough to judge a
distance, a weight or a price, and not close enough to sign off on a drawing.
Exact Mental shortcut 36 kJ 36.6667 kJ 360 kJ 366.6667 kJ
Precision
The factor 3.6 is rounded. For engineering work carry more digits than the table above, and round only at the end ā rounding at each step compounds.
In Code
`javascript
const wattHourToKilojoule = (value) => value * 3.6;
``
Where This Conversion Comes Up
- Nutrition
- Electricity
- Fitness
- Heating
- Fuel
How Many Decimals Do You Need?
Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 Wh with the factor truncated at each decimal place:
| Decimals kept | Factor | 137 Wh becomes | Error |
|---|---|---|---|
| 0 | 4 | 548 | 11.1111% |
| 1 | 3.6 | 493.2 | ā |
| 2 | 3.6 | 493.2 | ā |
| 3 | 3.6 | 493.2 | ā |
| 4 | 3.6 | 493.2 | ā |
The right number of significant figures is set by your input, not by the converter. If you measured watt hours to three significant figures, the answer in kilojoules is only good to three ā writing more digits claims precision the measurement never had.