# 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.

## Result in Cycles per Second:

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 measurement in radians per second to a measurement in cycles per second, multiply the frequency by the following conversion ratio: 0.159155 cycles per second/radian per second.

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 frequency in 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.

### How Many Cycles per Second Are in One Radian per Second?

There are **0.159155** cycles per second in one 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 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.^{[1]} For example, rad/s is expressing a change in angle relative to a change in time.

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 / Time_{s}

Learn more about cycles per second.

## Radian per Second to Cycle per Second Conversion Table

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 |

## 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

## More Radian per Second & Cycle per Second Conversions

- radians per second to hertz
- radians per second to kilohertz
- radians per second to megahertz
- radians per second to gigahertz
- radians per second to terahertz
- radians per second to revolutions per minute
- radians per second to degrees per second
- hertz to cycles per second
- kilohertz to cycles per second
- megahertz to cycles per second
- gigahertz to cycles per second
- terahertz to cycles per second
- revolutions per minute to cycles per second
- degrees per second to cycles per second