Watt Hours to Joules
Convert watt hours (Wh) to joules (J). Both measure work and power, and the conversion comes up in nutrition, electricity, fitness work.
The Formula
``
joules = watt hours Ć 3600
watt hours = joules Ć 0.000277777777778
`
One watt hour is 3,600 joules, and one joule is 2.7778e-4 watt hours.
Conversion Table
| Watt Hours | Joules |
|---|---|
| 1 Wh | 3,600 J |
| 2 Wh | 7,200 J |
| 5 Wh | 18,000 J |
| 10 Wh | 36,000 J |
| 25 Wh | 90,000 J |
| 50 Wh | 180,000 J |
| 100 Wh | 360,000 J |
| 500 Wh | 1,800,000 J |
| 1,000 Wh | 3,600,000 J |
The Other Direction
| Joules | Watt Hours |
|---|---|
| 1 J | 2.7778e-4 Wh |
| 2 J | 5.5556e-4 Wh |
| 5 J | 0.001389 Wh |
| 10 J | 0.002778 Wh |
| 25 J | 0.006944 Wh |
| 50 J | 0.013889 Wh |
| 100 J | 0.027778 Wh |
| 500 J | 0.138889 Wh |
| 1,000 J | 0.277778 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.
Joules (J) ā the work done by one newton acting over one metre ā the SI derived unit of energy. Named for James Prescott Joule, who established the mechanical equivalent of heat.
A Sense of Scale
A phone battery holds 12ā20 Wh- A laptop battery is 50ā100 Wh
- Lifting an apple one metre takes about 1 J
- A heartbeat uses roughly 1 J
Precision
The factor 3600 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 wattHourToJoule = (value) => value * 3600;
``
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 | 3600 | 493,200 | ā |
| 1 | 3600 | 493,200 | ā |
| 2 | 3600 | 493,200 | ā |
| 3 | 3600 | 493,200 | ā |
| 4 | 3600 | 493,200 | 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 joules is only good to three ā writing more digits claims precision the measurement never had.