Radians per second to Hertz
Convert Radians per second to Hertz instantly. Free online scientific unit converter with exact formula, conversion table and FAQ.
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Formula
hertz = radians per second × 0.1591549431
radians per second = hertz × 6.283185307
Conversion table
| 1 rad/s | 0.159155 Hz |
| 5 rad/s | 0.795775 Hz |
| 10 rad/s | 1.59155 Hz |
| 20 rad/s | 3.1831 Hz |
| 50 rad/s | 7.95775 Hz |
| 100 rad/s | 15.9155 Hz |
| 500 rad/s | 79.5775 Hz |
| 1000 rad/s | 159.155 Hz |
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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 hertz (Hz). The hertz is one cycle per second.
How do I convert radians per second to hertz?
Multiply the radians per second value by 0.1591549431. For example, 10 rad/s × 0.1591549431 = 1.59155 Hz.
Is the radians per second to hertz 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, hertz, such as in engineering, scientific, or laboratory calculations.
Can I convert hertz back to radians per second?
Yes. Multiply the hertz value by 6.283185307 to get radians per second.
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About this conversion
This page converts radians per second (rad/s) to hertz (Hz) within the scientific units converter.
Angular frequency converted by one revolution equals 2*pi radians.
The hertz is one cycle per second.
The formula is hertz = radians per second × 0.1591549431, 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 radians per second values already converted to hertz.