Radians per Second to Cycles per Second Converter

Enter the frequency in radians per second below to get the value converted to cycles per second.

Results in Cycles per Second:
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1 rad/s = 0.159155 cps

Do you want to convert cycles per second to radians per second?

How to Convert Radians per Second to Cycles per Second

To convert a radian per second measurement to a cycle per second measurement, multiply the frequency by the conversion ratio.

Since one radian per second is equal to 0.159155 cycles per second, you can use this simple formula to convert:

cycles per second = radians per second × 0.159155

The frequency in cycles per second is equal to the radians per second multiplied by 0.159155.

For example, here's how to convert 5 radians per second to cycles per second using the formula above.
5 rad/s = (5 × 0.159155) = 0.795775 cps

How Many Cycles per Second Are in a Radian per Second?

There are 0.159155 cycles per second in a radian per second, which is why we use this value in the formula above.

1 rad/s = 0.159155 cps

Radians per second and cycles per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

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.[1]

Learn more about radians per second.

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.

Radian per Second to Cycle per Second Conversion Table

Table showing various Radian per second measurements converted to cycles per second.
Radians Per Second Cycles Per Second
1 rad/s 0.159155 cps
2 rad/s 0.31831 cps
3 rad/s 0.477465 cps
4 rad/s 0.63662 cps
5 rad/s 0.795775 cps
6 rad/s 0.95493 cps
7 rad/s 1.1141 cps
8 rad/s 1.2732 cps
9 rad/s 1.4324 cps
10 rad/s 1.5915 cps
11 rad/s 1.7507 cps
12 rad/s 1.9099 cps
13 rad/s 2.069 cps
14 rad/s 2.2282 cps
15 rad/s 2.3873 cps
16 rad/s 2.5465 cps
17 rad/s 2.7056 cps
18 rad/s 2.8648 cps
19 rad/s 3.0239 cps
20 rad/s 3.1831 cps
21 rad/s 3.3423 cps
22 rad/s 3.5014 cps
23 rad/s 3.6606 cps
24 rad/s 3.8197 cps
25 rad/s 3.9789 cps
26 rad/s 4.138 cps
27 rad/s 4.2972 cps
28 rad/s 4.4563 cps
29 rad/s 4.6155 cps
30 rad/s 4.7746 cps
31 rad/s 4.9338 cps
32 rad/s 5.093 cps
33 rad/s 5.2521 cps
34 rad/s 5.4113 cps
35 rad/s 5.5704 cps
36 rad/s 5.7296 cps
37 rad/s 5.8887 cps
38 rad/s 6.0479 cps
39 rad/s 6.207 cps
40 rad/s 6.3662 cps


  1. 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

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