# Degrees Per Second to Cycles Per Second Conversion

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

**Results in Cycles Per Second:**

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

To convert a degree per second measurement to a cycle per second measurement, divide the frequency by the conversion ratio. One cycle per second is equal to 360 degrees per second, so use this simple formula to convert:

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

**For example,**here's how to convert 500 degrees per second to cycles per second using the formula above.

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

## 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]}

## 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}

## Degree Per Second to Cycle Per Second Conversion Table

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

1 °/s | 0.002778 cps |

2 °/s | 0.005556 cps |

3 °/s | 0.008333 cps |

4 °/s | 0.011111 cps |

5 °/s | 0.013889 cps |

6 °/s | 0.016667 cps |

7 °/s | 0.019444 cps |

8 °/s | 0.022222 cps |

9 °/s | 0.025 cps |

10 °/s | 0.027778 cps |

20 °/s | 0.055556 cps |

30 °/s | 0.083333 cps |

40 °/s | 0.111111 cps |

50 °/s | 0.138889 cps |

60 °/s | 0.166667 cps |

70 °/s | 0.194444 cps |

80 °/s | 0.222222 cps |

90 °/s | 0.25 cps |

100 °/s | 0.277778 cps |

200 °/s | 0.555556 cps |

300 °/s | 0.833333 cps |

400 °/s | 1.1111 cps |

500 °/s | 1.3889 cps |

600 °/s | 1.6667 cps |

700 °/s | 1.9444 cps |

800 °/s | 2.2222 cps |

900 °/s | 2.5 cps |

1,000 °/s | 2.7778 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