# Gigahertz to Radians Per Second Conversion

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

**Results in Radians Per Second:**

## How to Convert Gigahertz to Radians Per Second

To convert a gigahertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio.

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

The frequency in radians per second is equal to the 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.

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

## 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 10^{9}. Gigahertz can be abbreviated as *GHz*; for example, 1 gigahertz can be written as 1 GHz.

## 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]}

## 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