Kilohertz to Radians per Second Converter

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


Result in Radians per Second:

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1 kHZ = 6,283.185307 rad/s

Do you want to convert radians per second to kilohertz?

How to Convert Kilohertz to Radians per Second

To convert a measurement in kilohertz to a measurement in radians per second, multiply the frequency by the following conversion ratio: 6,283.185307 radians per second/kilohertz.

Since one kilohertz is equal to 6,283.185307 radians per second, you can use this simple formula to convert:

radians per second = kilohertz × 6,283.185307

The frequency in radians per second is equal to the frequency in kilohertz multiplied by 6,283.185307.

For example, here's how to convert 5 kilohertz to radians per second using the formula above.
radians per second = (5 kHZ × 6,283.185307) = 31,415.926534 rad/s

How Many Radians per Second Are in a Kilohertz?

There are 6,283.185307 radians per second in a kilohertz, which is why we use this value in the formula above.

1 kHZ = 6,283.185307 rad/s

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

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.

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.

Kilohertz to Radian per Second Conversion Table

Table showing various kilohertz measurements converted to radians per second.
Kilohertz Radians Per Second
0.001 kHZ 6.2832 rad/s
0.002 kHZ 12.57 rad/s
0.003 kHZ 18.85 rad/s
0.004 kHZ 25.13 rad/s
0.005 kHZ 31.42 rad/s
0.006 kHZ 37.7 rad/s
0.007 kHZ 43.98 rad/s
0.008 kHZ 50.27 rad/s
0.009 kHZ 56.55 rad/s
0.01 kHZ 62.83 rad/s
0.02 kHZ 125.66 rad/s
0.03 kHZ 188.5 rad/s
0.04 kHZ 251.33 rad/s
0.05 kHZ 314.16 rad/s
0.06 kHZ 376.99 rad/s
0.07 kHZ 439.82 rad/s
0.08 kHZ 502.65 rad/s
0.09 kHZ 565.49 rad/s
0.1 kHZ 628.32 rad/s
0.2 kHZ 1,257 rad/s
0.3 kHZ 1,885 rad/s
0.4 kHZ 2,513 rad/s
0.5 kHZ 3,142 rad/s
0.6 kHZ 3,770 rad/s
0.7 kHZ 4,398 rad/s
0.8 kHZ 5,027 rad/s
0.9 kHZ 5,655 rad/s
1 kHZ 6,283 rad/s


  1. National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units,

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