Hz to Rad/s Converter
Convert hertz to radians per second instantly. 1 Hz = 6.283185307 rad/s, worked steps and a full reference table.
How to use it
- Type the value in hertz — the result updates as you type.
- Use Swap to flip the direction, or change either dropdown to convert between any two units.
- Click the result to copy it. The URL updates too, so you can bookmark or share the exact conversion.
Examples
| 1 Hz | 6.283185307 rad/s |
| 5 Hz | 31.41592654 rad/s |
| 10 Hz | 62.83185307 rad/s |
| 100 Hz | 628.3185307 rad/s |
One hertz equals 6.2831853 radians per seconds (rad/s). To convert hertzes to radians per seconds, multiply by 6.2831853; to go back the other way, multiply by 0.15915494 instead.
The converter above does it as you type and shows the working underneath, so you can check the arithmetic rather than take the number on trust.
What hertzes and radians per seconds actually measure
Hertz (Hz) — The hertz is one cycle per second. Mains supply, audio pitch and refresh rates.
Radians per second (rad/s) — Radians per second is angular velocity, and one hertz is 2π rad/s. Mechanics, control systems and rotational dynamics.
Hz to Rad/s conversion table
The most common values, worked out in advance. Anything not listed can be typed straight into the converter.
| Hz | rad/s |
|---|---|
| 1 Hz | 6.2831853 rad/s |
| 2 Hz | 12.566371 rad/s |
| 5 Hz | 31.415927 rad/s |
| 10 Hz | 62.831853 rad/s |
| 25 Hz | 157.07963 rad/s |
| 50 Hz | 314.15927 rad/s |
| 100 Hz | 628.31853 rad/s |
How to convert hertzes to radians per seconds by hand
Multiply the number of hertzes by 6.2831853.
For example, 25 Hz × 6.2831853 = 157.07963 rad/s.
Going the other way, divide by 6.2831853 — or multiply by 0.15915494, which is the same thing and easier to do in your head.
Everything runs in your browser
There is no server involved in the calculation. The numbers you type never leave your device, nothing is logged, and the page keeps working with no connection once it has loaded. That is not a marketing line — it is simply how the tool is built, because a calculation like this has no reason to touch a network.
Questions people ask
How many rad/s are in 1 Hz?
1 Hz equals exactly 6.283185307 rad/s. Multiply any value in hertz by 6.283185307 to get radians per second.
Is anything uploaded to a server?
No. The whole calculation happens in your browser. Nothing is sent anywhere, and the page keeps working offline once loaded.
Last updated 18 August 2026