Revolutions per second to Radians per second
Convert Revolutions per second to Radians per second instantly. Free online frequency unit converter with exact formula, conversion table and FAQ.
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Formula
radians per second = revolutions per second × 6.283185
revolutions per second = radians per second × 0.159155
Conversion table
| 1 rps | 6.283185 rad/s |
| 5 rps | 31.415927 rad/s |
| 10 rps | 62.831853 rad/s |
| 20 rps | 125.663706 rad/s |
| 50 rps | 314.159265 rad/s |
| 100 rps | 628.318531 rad/s |
| 500 rps | 3141.592654 rad/s |
| 1000 rps | 6283.185307 rad/s |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the revolutions per second (rps). Revolutions per second.
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 revolutions per second to radians per second?
Multiply the revolutions per second value by 6.283185. For example, 10 rps × 6.283185 = 62.831853 rad/s.
Is the revolutions per second 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 revolutions per second needs to be compared with, or reported in, radians per second, such as in engineering, scientific, or everyday calculations.
Can I convert radians per second back to revolutions per second?
Yes. Multiply the radians per second value by 0.159155 to get revolutions per second.
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About this conversion
This page converts revolutions per second (rps) to radians per second (rad/s) within the frequency converter.
Revolutions per second. Angular frequency converted by one revolution equals 2*pi radians.
The formula is radians per second = revolutions per second × 6.283185, based on each unit's fixed relationship to the frequency converter's base unit.
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 revolutions per second values already converted to radians per second.