Radians per Second to Gigahertz Converter

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


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Result 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

Do you want to convert gigahertz to radians per second?

How to Convert Radians per Second to Gigahertz

To convert a measurement in radians per second to a measurement in gigahertz, multiply the frequency by the following conversion ratio: 1.5915E-10 gigahertz/radian per second.

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 frequency in 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.
gigahertz = (5,000,000,000 rad/s × 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.

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.

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

Learn more about gigahertz.

Radian per Second to Gigahertz Conversion Table

Table showing various 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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