Cycles per Second to Radians per Second Converter
Enter the frequency in cycles per second below to get the value converted to radians per second.
Do you want to convert radians per second to cycles per second?
How to Convert Cycles per Second to Radians per Second
To convert a measurement in cycles per second to a measurement in radians per second, multiply the frequency by the following conversion ratio: 6.283185 radians per second/cycle per second.
Since one cycle per second is equal to 6.283185 radians per second, you can use this simple formula to convert:
radians per second = cycles per second × 6.283185
The frequency in radians per second is equal to the frequency in cycles per second multiplied by 6.283185.
How Many Radians per Second Are in One Cycle per Second?
There are 6.283185 radians per second in one cycle per second, which is why we use this value in the formula above.
1 cps = 6.283185 rad/s
Cycles per second and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.
What Are Cycles per Second?
Cycles per second are a measure of the number of oscillations, or cycles, that occur per second.
Cycles per second can be abbreviated as cps, and are also sometimes abbreviated as c/s or cycles/second. For example, 1 cycle per second can be written as 1 cps, 1 c/s, or 1 cycles/second.
Cycles per second can be expressed using the formula: cps = Cycles / Times
Learn more about cycles per second.
What Are Radians per Second?
Radians per second are a measure of angular frequency, or rotational speed, equal to the change in the angular orientation of an object over one second.
Radians per second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.
In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units. For example, rad/s is expressing a change in angle relative to a change in time.
Learn more about radians per second.
Cycle per Second to Radian per Second Conversion Table
|Cycles Per Second||Radians Per Second|
|1 cps||6.2832 rad/s|
|2 cps||12.57 rad/s|
|3 cps||18.85 rad/s|
|4 cps||25.13 rad/s|
|5 cps||31.42 rad/s|
|6 cps||37.7 rad/s|
|7 cps||43.98 rad/s|
|8 cps||50.27 rad/s|
|9 cps||56.55 rad/s|
|10 cps||62.83 rad/s|
|11 cps||69.12 rad/s|
|12 cps||75.4 rad/s|
|13 cps||81.68 rad/s|
|14 cps||87.96 rad/s|
|15 cps||94.25 rad/s|
|16 cps||100.53 rad/s|
|17 cps||106.81 rad/s|
|18 cps||113.1 rad/s|
|19 cps||119.38 rad/s|
|20 cps||125.66 rad/s|
|21 cps||131.95 rad/s|
|22 cps||138.23 rad/s|
|23 cps||144.51 rad/s|
|24 cps||150.8 rad/s|
|25 cps||157.08 rad/s|
|26 cps||163.36 rad/s|
|27 cps||169.65 rad/s|
|28 cps||175.93 rad/s|
|29 cps||182.21 rad/s|
|30 cps||188.5 rad/s|
|31 cps||194.78 rad/s|
|32 cps||201.06 rad/s|
|33 cps||207.35 rad/s|
|34 cps||213.63 rad/s|
|35 cps||219.91 rad/s|
|36 cps||226.19 rad/s|
|37 cps||232.48 rad/s|
|38 cps||238.76 rad/s|
|39 cps||245.04 rad/s|
|40 cps||251.33 rad/s|
- 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