rad/s to Hz converter (rad/s to Hz)
Convert rad/s (rad/s) to Hz (Hz) with this free calculator. Type a value, press Convert, and the page applies the same factor shown in the formula below — no rounded shortcut, and nothing is stored on a server.
How to convert rad/s to Hz
1 radian per second (rad/s) is equal to 1/(2π) hertz (Hz) ≈ 0.15915494309 Hz.
f(Hz) = ω(rads) / (2π)
Divide the angular frequency in rad/s by 2π:
Example: Convert 100 rad/s to Hz:
f(Hz) = 100 / (2π) = 100 ÷ 6.28318... ≈ 15.9155 Hz
What is a rad/s?
The rad/s (rad/s) is the starting or target unit on this page. Use the calculator above to convert values without looking up the factor by hand.
What is a Hz?
The Hz (Hz) is the starting or target unit on this page. Use the calculator above to convert values without looking up the factor by hand.
This page converts frequency from rad/s into Hz. One rad/s equals 0.159154943 Hz.
rad/s to Hz conversion table
Common rad/s values and the matching Hz result, calculated with the same factor as the widget. Highlight a nearby row if you want a quick check without entering a number.
| rad/s (rad/s) | Hz (Hz) |
|---|---|
| 1 rad/s | 0.159154943 Hz |
| 2 rad/s | 0.318309886 Hz |
| 5 rad/s | 0.795774715 Hz |
| 10 rad/s | 1.591549431 Hz |
| 50 rad/s | 7.957747155 Hz |
| 100 rad/s | 15.915494309 Hz |
| 1000 rad/s | 159.154943092 Hz |
| 10000 rad/s | 1591.549430919 Hz |
How this calculator works
The form on this page is a rad/s-to-Hz converter. After you enter a number, JavaScript multiplies or rearranges it with the published conversion factor and writes the Hz result in the output box. The step-by-step panel repeats the arithmetic so you can copy it into homework or a spreadsheet.
Reviewed by Hamsen, founder of GigaTables and a biology engineer. See the about page for how formulas are checked before a tool is published.
FAQ
How many Hz are in 1 rad/s?
1 rad/s = 0.159154943 Hz.
How do I convert rad/s to Hz?
Divide the angular frequency in rad/s by 2π:
Is this rad/s to Hz converter free?
Yes. GigaTables calculators are free to use in a browser. You do not need an account, and the values you type are not uploaded.