Revolutions per second to Radians per second
Convert Revolutions per second 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 = revolutions per second × 6.283185307
revolutions per second = radians per second × 0.1591549431
Conversion table
| 1 rps | 6.28319 rad/s |
| 5 rps | 31.4159 rad/s |
| 10 rps | 62.8319 rad/s |
| 20 rps | 125.664 rad/s |
| 50 rps | 314.159 rad/s |
| 100 rps | 628.319 rad/s |
| 500 rps | 3141.59 rad/s |
| 1000 rps | 6283.19 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 6.283185307. For example, 10 rps × 6.283185307 = 62.8319 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 laboratory calculations.
Can I convert radians per second back to revolutions per second?
Yes. Multiply the radians per second value by 0.1591549431 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 scientific units converter.
Revolutions per second.
Angular frequency converted by one revolution equals 2*pi radians.
The formula is radians per second = revolutions per second × 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 revolutions per second values already converted to radians per second.