Radians per Second to Kilohertz Converter

Enter the frequency in radians per second below to convert it to kilohertz.

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Result in Kilohertz:

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1 rad/s = 0.000159 kHZ

Do you want to convert kilohertz to radians per second?

How to Convert Radians per Second to Kilohertz

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To convert a measurement in radians per second to a measurement in kilohertz, multiply the frequency by the following conversion ratio: 0.000159 kilohertz/radian per second.

Since one radian per second is equal to 0.000159 kilohertz, you can use this simple formula to convert:

kilohertz = radians per second × 0.000159

The frequency in kilohertz is equal to the frequency in radians per second multiplied by 0.000159.

For example, here's how to convert 5,000 radians per second to kilohertz using the formula above.
kilohertz = (5,000 rad/s × 0.000159) = 0.795775 kHZ

Radians per second and kilohertz 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 Kilohertz?

Kilohertz is a measure of frequency equal to one thousand cycles per second.

The kilohertz is a multiple of the hertz, which is the SI derived unit for frequency. In the metric system, "kilo" is the prefix for thousands, or 103. Kilohertz can be abbreviated as kHZ; for example, 1 kilohertz can be written as 1 kHZ.

Learn more about kilohertz.

Radian per Second to Kilohertz Conversion Table

Table showing various radian per second measurements converted to kilohertz.
Radians Per Second Kilohertz
1 rad/s 0.000159 kHZ
2 rad/s 0.000318 kHZ
3 rad/s 0.000477 kHZ
4 rad/s 0.000637 kHZ
5 rad/s 0.000796 kHZ
6 rad/s 0.000955 kHZ
7 rad/s 0.001114 kHZ
8 rad/s 0.001273 kHZ
9 rad/s 0.001432 kHZ
10 rad/s 0.001592 kHZ
20 rad/s 0.003183 kHZ
30 rad/s 0.004775 kHZ
40 rad/s 0.006366 kHZ
50 rad/s 0.007958 kHZ
60 rad/s 0.009549 kHZ
70 rad/s 0.011141 kHZ
80 rad/s 0.012732 kHZ
90 rad/s 0.014324 kHZ
100 rad/s 0.015915 kHZ
200 rad/s 0.031831 kHZ
300 rad/s 0.047746 kHZ
400 rad/s 0.063662 kHZ
500 rad/s 0.079577 kHZ
600 rad/s 0.095493 kHZ
700 rad/s 0.111408 kHZ
800 rad/s 0.127324 kHZ
900 rad/s 0.143239 kHZ
1,000 rad/s 0.159155 kHZ
2,000 rad/s 0.31831 kHZ
3,000 rad/s 0.477465 kHZ
4,000 rad/s 0.63662 kHZ
5,000 rad/s 0.795775 kHZ
6,000 rad/s 0.95493 kHZ
7,000 rad/s 1.1141 kHZ
8,000 rad/s 1.2732 kHZ
9,000 rad/s 1.4324 kHZ
10,000 rad/s 1.5915 kHZ

References

  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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