Hertz to Radians per second
Convert Hertz to Radians per second instantly. Free online frequency unit converter with exact formula, conversion table and FAQ.
Reserved for a responsive leaderboard above the conversion details.
Professional calculator style
World-scale conversion engine
30+ categories
6,500+ units
Instant results
Offline ready
Converter
Length Converter
Convert metric, imperial, and nautical distance units.
Context values
Some unit families need one extra value for a physically accurate result.
Use the converter to see the formula.
Results update instantly for Hertz to Radians per second conversions.
Reserved above the conversion cards and below the converter.
Formula
radians per second = hertz × 6.283185
hertz = radians per second × 0.159155
Conversion table
| 1 Hz | 6.283185 rad/s |
| 5 Hz | 31.415927 rad/s |
| 10 Hz | 62.831853 rad/s |
| 20 Hz | 125.663706 rad/s |
| 50 Hz | 314.159265 rad/s |
| 100 Hz | 628.318531 rad/s |
| 500 Hz | 3141.592654 rad/s |
| 1000 Hz | 6283.185307 rad/s |
Related conversions
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
What is the source unit in this conversion?
The source unit is the hertz (Hz). The hertz is one cycle per second.
What is the destination unit in this conversion?
The destination unit is the radians per second (rad/s). Angular frequency converted by one revolution equals 2*pi radians.
How do I convert hertz to radians per second?
Multiply the hertz value by 6.283185. For example, 10 Hz × 6.283185 = 62.831853 rad/s.
Is the hertz to radians per second 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 hertz needs to be compared with, or reported in, radians per second, such as in engineering, scientific, or everyday calculations.
Can I convert radians per second back to hertz?
Yes. Multiply the radians per second value by 0.159155 to get hertz.
Reserved between the FAQ and the article so the page stays balanced.
About this conversion
This page converts hertz (Hz) to radians per second (rad/s) within the frequency converter.
The hertz is one cycle per second. Angular frequency converted by one revolution equals 2*pi radians.
The formula is radians per second = hertz × 6.283185, 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 hertz values already converted to radians per second.