Radians Per Second to Hertz Conversion
Enter the frequency in radians per second below to get the value converted to hertz.
How to Convert Radians Per Second to Hertz
To convert a radian per second measurement to a hertz measurement, multiply the frequency by the conversion ratio. One radian per second is equal to 0.159155 hertz, so use this simple formula to convert:
The frequency in hertz is equal to the radians per second multiplied by 0.159155.
The following formula can also be used to convert the angular frequency in radians per second to frequency in hertz:
In other words, the frequency ƒ in hertz is equal to the angular frequency ω in radians per second divided by 2 times pi.
Radians per second and hertz are both units used to measure frequency. Keep reading to learn more about each unit of measure.
Radians Per Second
Radians per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in radians per second.
Radians per second can be abbreviated as rad/s, for example 1 radian per second can be written as 1 rad/s.
In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.[1]
Hertz
Hertz is formally defined as the frequency equalling one cycle per second.[2]
The hertz is the SI derived unit for frequency in the metric system. Hertz can be abbreviated as Hz, for example 1 hertz can be written as 1 Hz.
Frequency in hertz can be expressed using the formula: Hz = CyclesTimes
Radian Per Second to Hertz Conversion Table
| Radians Per Second | Hertz |
|---|---|
| 1 rad/s | 0.159155 Hz |
| 2 rad/s | 0.31831 Hz |
| 3 rad/s | 0.477465 Hz |
| 4 rad/s | 0.63662 Hz |
| 5 rad/s | 0.795775 Hz |
| 6 rad/s | 0.95493 Hz |
| 7 rad/s | 1.1141 Hz |
| 8 rad/s | 1.2732 Hz |
| 9 rad/s | 1.4324 Hz |
| 10 rad/s | 1.5915 Hz |
| 11 rad/s | 1.7507 Hz |
| 12 rad/s | 1.9099 Hz |
| 13 rad/s | 2.069 Hz |
| 14 rad/s | 2.2282 Hz |
| 15 rad/s | 2.3873 Hz |
| 16 rad/s | 2.5465 Hz |
| 17 rad/s | 2.7056 Hz |
| 18 rad/s | 2.8648 Hz |
| 19 rad/s | 3.0239 Hz |
| 20 rad/s | 3.1831 Hz |
| 21 rad/s | 3.3423 Hz |
| 22 rad/s | 3.5014 Hz |
| 23 rad/s | 3.6606 Hz |
| 24 rad/s | 3.8197 Hz |
| 25 rad/s | 3.9789 Hz |
| 26 rad/s | 4.138 Hz |
| 27 rad/s | 4.2972 Hz |
| 28 rad/s | 4.4563 Hz |
| 29 rad/s | 4.6155 Hz |
| 30 rad/s | 4.7746 Hz |
| 31 rad/s | 4.9338 Hz |
| 32 rad/s | 5.093 Hz |
| 33 rad/s | 5.2521 Hz |
| 34 rad/s | 5.4113 Hz |
| 35 rad/s | 5.5704 Hz |
| 36 rad/s | 5.7296 Hz |
| 37 rad/s | 5.8887 Hz |
| 38 rad/s | 6.0479 Hz |
| 39 rad/s | 6.207 Hz |
| 40 rad/s | 6.3662 Hz |
References
- National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using
- National Institute of Standards and Technology, SI Units - Time, https://www.nist.gov/pml/weights-and-measures/si-units-time
