Kilohertz to Radians Per Second Conversion

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

Results in Radians Per Second:
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1 kHZ = 6,283.185307 rad/s

How to Convert Kilohertz to Radians Per Second

To convert a kilohertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio.

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 kilohertz multiplied by 6,283.185307.

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

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


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 103. Kilohertz can be abbreviated as kHZ; for example, 1 kilohertz can be written as 1 kHZ.

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]

Kilohertz to Radian Per Second Conversion Table

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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