# Radians Per Second to Gigahertz Conversion

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

**Results in Gigahertz:**

## How to Convert Radians Per Second to Gigahertz

To convert a radian per second measurement to a gigahertz measurement, multiply the frequency by the conversion ratio. One radian per second is equal to 1.5915E-10 gigahertz, so use this simple formula to convert:

The frequency in gigahertz is equal to the radians per second multiplied by 1.5915E-10.

**For example,**here's how to convert 5,000,000,000 radians per second to gigahertz using the formula above.

Radians per second and gigahertz 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]}

## 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.

## Radian Per Second to Gigahertz Conversion Table

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

1 rad/s | 0.00000000015915 GHz |

2 rad/s | 0.00000000031831 GHz |

3 rad/s | 0.00000000047746 GHz |

4 rad/s | 0.00000000063662 GHz |

5 rad/s | 0.00000000079577 GHz |

6 rad/s | 0.00000000095493 GHz |

7 rad/s | 0.0000000011141 GHz |

8 rad/s | 0.0000000012732 GHz |

9 rad/s | 0.0000000014324 GHz |

10 rad/s | 0.0000000015915 GHz |

100 rad/s | 0.000000015915 GHz |

1,000 rad/s | 0.00000015915 GHz |

10,000 rad/s | 0.0000015915 GHz |

100,000 rad/s | 0.000015915 GHz |

1,000,000 rad/s | 0.000159 GHz |

10,000,000 rad/s | 0.001592 GHz |

100,000,000 rad/s | 0.015915 GHz |

1,000,000,000 rad/s | 0.159155 GHz |

10,000,000,000 rad/s | 1.5915 GHz |

## 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