# Gigahertz to Radians per Second Converter

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

**Results in Radians per Second:**

Do you want to convert radians per second to gigahertz?

## How to Convert Gigahertz to Radians per Second

To convert a measurement in gigahertz to a measurement in radians per second, multiply the frequency by the following conversion ratio: 6,283,185,306.8596 radians per second/gigahertz.

Since one gigahertz is equal to 6,283,185,306.8596 radians per second, you can use this simple formula to convert:

radians per second = gigahertz × 6,283,185,306.8596

The frequency in radians per second is equal to the frequency in gigahertz multiplied by 6,283,185,306.8596.

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

### How Many Radians per Second Are in a Gigahertz?

There are **6,283,185,306.8596** radians per second in a gigahertz, which is why we use this value in the formula above.

1 GHz = 6,283,185,306.8596 rad/s

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

## What Is a Gigahertz?

Gigahertz is a measure of frequency equal to one billion cycles per second.

The gigahertz is a multiple of the hertz, which is the SI derived unit for frequency. In the metric system, "giga" is the prefix for billions, or 10^{9}. Gigahertz can be abbreviated as *GHz*; for example, 1 gigahertz can be written as 1 GHz.

Learn more about gigahertz.

## 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.

## Gigahertz to Radian per Second Conversion Table

Gigahertz | Radians Per Second |
---|---|

0.000000001 GHz | 6.2832 rad/s |

0.000000002 GHz | 12.57 rad/s |

0.000000003 GHz | 18.85 rad/s |

0.000000004 GHz | 25.13 rad/s |

0.000000005 GHz | 31.42 rad/s |

0.000000006 GHz | 37.7 rad/s |

0.000000007 GHz | 43.98 rad/s |

0.000000008 GHz | 50.27 rad/s |

0.000000009 GHz | 56.55 rad/s |

0.0000000001 GHz | 0.628319 rad/s |

0.000000001 GHz | 6.2832 rad/s |

0.00000001 GHz | 62.83 rad/s |

0.0000001 GHz | 628.32 rad/s |

0.000001 GHz | 6,283 rad/s |

0.00001 GHz | 62,832 rad/s |

0.0001 GHz | 628,319 rad/s |

0.001 GHz | 6,283,185 rad/s |

0.01 GHz | 62,831,853 rad/s |

0.1 GHz | 628,318,531 rad/s |

1 GHz | 6,283,185,307 rad/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

## More Gigahertz & Radian per Second Conversions

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