# Cycles Per Second to Degrees Per Second Conversion

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

**Results in Degrees Per Second:**

## How to Convert Cycles Per Second to Degrees Per Second

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

Since one cycle per second is equal to 360 degrees per second, you can use this simple formula to convert:

The frequency in degrees per second is equal to the cycles per second multiplied by 360.

**For example,**here's how to convert 5 cycles per second to degrees per second using the formula above.

### How Many Degrees Per Second are in a Cycle Per Second?

There are **360** degrees per second in a cycle per second, which is why we use this value in the formula above.

1 cps = 360 °/s

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

## 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}

## Degrees Per Second

Degrees per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in degrees per second.

Degrees per second can be abbreviated as *°/s*; for example, 1 degree per second can be written as 1 °/s.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.^{[1]}

## Cycle Per Second to Degree Per Second Conversion Table

Cycles Per Second | Degrees Per Second |
---|---|

1 cps | 360 °/s |

2 cps | 720 °/s |

3 cps | 1,080 °/s |

4 cps | 1,440 °/s |

5 cps | 1,800 °/s |

6 cps | 2,160 °/s |

7 cps | 2,520 °/s |

8 cps | 2,880 °/s |

9 cps | 3,240 °/s |

10 cps | 3,600 °/s |

11 cps | 3,960 °/s |

12 cps | 4,320 °/s |

13 cps | 4,680 °/s |

14 cps | 5,040 °/s |

15 cps | 5,400 °/s |

16 cps | 5,760 °/s |

17 cps | 6,120 °/s |

18 cps | 6,480 °/s |

19 cps | 6,840 °/s |

20 cps | 7,200 °/s |

21 cps | 7,560 °/s |

22 cps | 7,920 °/s |

23 cps | 8,280 °/s |

24 cps | 8,640 °/s |

25 cps | 9,000 °/s |

26 cps | 9,360 °/s |

27 cps | 9,720 °/s |

28 cps | 10,080 °/s |

29 cps | 10,440 °/s |

30 cps | 10,800 °/s |

31 cps | 11,160 °/s |

32 cps | 11,520 °/s |

33 cps | 11,880 °/s |

34 cps | 12,240 °/s |

35 cps | 12,600 °/s |

36 cps | 12,960 °/s |

37 cps | 13,320 °/s |

38 cps | 13,680 °/s |

39 cps | 14,040 °/s |

40 cps | 14,400 °/s |

## 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