Hertz to Radians per Second Converter
Enter the frequency in hertz below to get the value converted to radians per second.
Do you want to convert radians per second to hertz?
How to Convert Hertz to Radians per Second
To convert a hertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio.
Since one hertz is equal to 6.283185 radians per second, you can use this simple formula to convert:
The frequency in radians per second is equal to the hertz multiplied by 6.283185.
How Many Radians per Second Are in a Hertz?
There are 6.283185 radians per second in a hertz, which is why we use this value in the formula above.
1 Hz = 6.283185 rad/s
The following formula can also be used to convert the angular frequency in radians per second to frequency in hertz:
In other words, the angular frequency ω in radians per second is equal to 2 times pi times the frequency ƒ in hertz.
Hertz and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.
What is a Hertz?
Hertz is formally defined as the frequency equalling one cycle per second.
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 = Cycles / Times
Learn more about hertz.
What Are 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.
Learn more about radians per second.
Hertz to Radian per Second Conversion Table
|Hertz||Radians Per Second|
|1 Hz||6.2832 rad/s|
|2 Hz||12.57 rad/s|
|3 Hz||18.85 rad/s|
|4 Hz||25.13 rad/s|
|5 Hz||31.42 rad/s|
|6 Hz||37.7 rad/s|
|7 Hz||43.98 rad/s|
|8 Hz||50.27 rad/s|
|9 Hz||56.55 rad/s|
|10 Hz||62.83 rad/s|
|11 Hz||69.12 rad/s|
|12 Hz||75.4 rad/s|
|13 Hz||81.68 rad/s|
|14 Hz||87.96 rad/s|
|15 Hz||94.25 rad/s|
|16 Hz||100.53 rad/s|
|17 Hz||106.81 rad/s|
|18 Hz||113.1 rad/s|
|19 Hz||119.38 rad/s|
|20 Hz||125.66 rad/s|
|21 Hz||131.95 rad/s|
|22 Hz||138.23 rad/s|
|23 Hz||144.51 rad/s|
|24 Hz||150.8 rad/s|
|25 Hz||157.08 rad/s|
|26 Hz||163.36 rad/s|
|27 Hz||169.65 rad/s|
|28 Hz||175.93 rad/s|
|29 Hz||182.21 rad/s|
|30 Hz||188.5 rad/s|
|31 Hz||194.78 rad/s|
|32 Hz||201.06 rad/s|
|33 Hz||207.35 rad/s|
|34 Hz||213.63 rad/s|
|35 Hz||219.91 rad/s|
|36 Hz||226.19 rad/s|
|37 Hz||232.48 rad/s|
|38 Hz||238.76 rad/s|
|39 Hz||245.04 rad/s|
|40 Hz||251.33 rad/s|
- National Institute of Standards and Technology, SI Units - Time, https://www.nist.gov/pml/owm/si-units-time
- 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
More Hertz & Radian per Second Conversions
- hertz to kilohertz
- hertz to megahertz
- hertz to gigahertz
- hertz to terahertz
- hertz to cycles per second
- hertz to revolutions per minute
- hertz to degrees per second
- kilohertz to radians per second
- megahertz to radians per second
- gigahertz to radians per second
- terahertz to radians per second
- cycles per second to radians per second
- revolutions per minute to radians per second
- degrees per second to radians per second