Radians per second to Revolutions per second
Convert Radians per second to Revolutions per second instantly. Free online frequency unit converter with exact formula, conversion table and FAQ.
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Formula
revolutions per second = radians per second × 0.159155
radians per second = revolutions per second × 6.283185
Conversion table
| 1 rad/s | 0.159155 rps |
| 5 rad/s | 0.795775 rps |
| 10 rad/s | 1.591549 rps |
| 20 rad/s | 3.183099 rps |
| 50 rad/s | 7.957747 rps |
| 100 rad/s | 15.915494 rps |
| 500 rad/s | 79.577472 rps |
| 1000 rad/s | 159.154943 rps |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the radians per second (rad/s). Angular frequency converted by one revolution equals 2*pi radians.
What is the destination unit in this conversion?
The destination unit is the revolutions per second (rps). Revolutions per second.
How do I convert radians per second to revolutions per second?
Multiply the radians per second value by 0.159155. For example, 10 rad/s × 0.159155 = 1.591549 rps.
Is the radians per second to revolutions 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 radians per second needs to be compared with, or reported in, revolutions per second, such as in engineering, scientific, or everyday calculations.
Can I convert revolutions per second back to radians per second?
Yes. Multiply the revolutions per second value by 6.283185 to get radians per second.
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About this conversion
This page converts radians per second (rad/s) to revolutions per second (rps) within the frequency converter.
Angular frequency converted by one revolution equals 2*pi radians. Revolutions per second.
The formula is revolutions per second = radians per second × 0.159155, 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 radians per second values already converted to revolutions per second.