Hz to rad/s converter (Hz to rad/s)
Convert Hz (Hz) to rad/s (rad/s) 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 Hz to rad/s
1 hertz (Hz) is equal to 2π radians per second (rad/s) ≈ 6.28318530718 rad/s.
ω(rads) = 2π × f(Hz)
Multiply the frequency in Hz by 2π:
Example: Convert 10 Hz to rad/s:
ω = 2π × 10 = 62.8318530718 rads
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.
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.
This page converts frequency from Hz into rad/s. One Hz equals 6.283185307 rad/s.
Hz to rad/s conversion table
Common Hz values and the matching rad/s result, calculated with the same factor as the widget. Highlight a nearby row if you want a quick check without entering a number.
| Hz (Hz) | rad/s (rad/s) |
|---|---|
| 1 Hz | 6.283185307 rad/s |
| 5 Hz | 31.415926536 rad/s |
| 10 Hz | 62.831853072 rad/s |
| 50 Hz | 314.159265359 rad/s |
| 100 Hz | 628.318530718 rad/s |
| 500 Hz | 3141.59265359 rad/s |
| 1000 Hz | 6283.18530718 rad/s |
| 10000 Hz | 62831.8530718 rad/s |
How this calculator works
The form on this page is a Hz-to-rad/s converter. After you enter a number, JavaScript multiplies or rearranges it with the published conversion factor and writes the rad/s 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 rad/s are in 1 Hz?
1 Hz = 6.283185307 rad/s.
How do I convert Hz to rad/s?
Multiply the frequency in Hz by 2π:
Is this Hz to rad/s 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.