# Radians Per Second to Cycles Per Second Conversion

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

**Results in Cycles 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:

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.

Radians per second and cycles per second 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]}

## 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 = CyclesTime_{s}

## 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