Joule to Radians per second
Convert Joule to Radians per second instantly. Free online scientific unit converter with exact formula, conversion table and FAQ.
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Formula
radians per second = joule × 6.283185307
joule = radians per second × 0.1591549431
Conversion table
| 1 J | 6.28319 rad/s |
| 5 J | 31.4159 rad/s |
| 10 J | 62.8319 rad/s |
| 20 J | 125.664 rad/s |
| 50 J | 314.159 rad/s |
| 100 J | 628.319 rad/s |
| 500 J | 3141.59 rad/s |
| 1000 J | 6283.19 rad/s |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the joule (J). The joule is the SI derived unit of energy.
What is the destination unit in this conversion?
The destination unit is the radians per second (rad/s). Angular frequency converted by one revolution equals 2*pi radians.
How do I convert joule to radians per second?
Multiply the joule value by 6.283185307. For example, 10 J × 6.283185307 = 62.8319 rad/s.
Is the joule to radians per second conversion exact?
Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.
Where is this conversion commonly used?
It's used whenever a value expressed in joule needs to be compared with, or reported in, radians per second, such as in engineering, scientific, or laboratory calculations.
Can I convert radians per second back to joule?
Yes. Multiply the radians per second value by 0.1591549431 to get joule.
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About this conversion
This page converts joule (J) to radians per second (rad/s) within the scientific units converter.
The joule is the SI derived unit of energy.
Angular frequency converted by one revolution equals 2*pi radians.
The formula is radians per second = joule × 6.283185307, based on each unit's fixed relationship to the scientific converter's reference units.
The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.
Use the calculator above for instant results, or the table below for common joule values already converted to radians per second.