Radians Per Second to Gigahertz Conversion

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

Results in Gigahertz:
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1 rad/s = 1.5915E-10 GHz
Hint: use a scientific notation calculator to convert E notation to decimal

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.

Since one radian per second is equal to 1.5915E-10 gigahertz, you can use this simple formula to convert:

gigahertz = radians per second × 1.5915E-10

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.
5,000,000,000 rad/s = (5,000,000,000 × 1.5915E-10) = 0.795775 GHz

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 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 109. Gigahertz can be abbreviated as GHz; for example, 1 gigahertz can be written as 1 GHz.

Radian Per Second to Gigahertz Conversion Table

Radian per second measurements converted to gigahertz
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


  1. 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

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