Radians per second to Revolutions per minute
Convert Radians per second to Revolutions per minute instantly. Free online frequency unit converter with exact formula, conversion table and FAQ.
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Formula
revolutions per minute = radians per second × 9.549297
radians per second = revolutions per minute × 0.10472
Conversion table
| 1 rad/s | 9.549297 rpm |
| 5 rad/s | 47.746483 rpm |
| 10 rad/s | 95.492966 rpm |
| 20 rad/s | 190.985932 rpm |
| 50 rad/s | 477.464829 rpm |
| 100 rad/s | 954.929659 rpm |
| 500 rad/s | 4774.648293 rpm |
| 1000 rad/s | 9549.296586 rpm |
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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 minute (rpm). Revolutions per minute converted to hertz.
How do I convert radians per second to revolutions per minute?
Multiply the radians per second value by 9.549297. For example, 10 rad/s × 9.549297 = 95.492966 rpm.
Is the radians per second to revolutions per minute 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 minute, such as in engineering, scientific, or everyday calculations.
Can I convert revolutions per minute back to radians per second?
Yes. Multiply the revolutions per minute value by 0.10472 to get radians per second.
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About this conversion
This page converts radians per second (rad/s) to revolutions per minute (rpm) within the frequency converter.
Angular frequency converted by one revolution equals 2*pi radians. Revolutions per minute converted to hertz.
The formula is revolutions per minute = radians per second × 9.549297, 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 minute.