Kilohertz to Radians per second
Convert Kilohertz to Radians per second instantly. Free online frequency unit converter with exact formula, conversion table and FAQ.
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Formula
radians per second = kilohertz × 6283.185307
kilohertz = radians per second × 0.000159
Conversion table
| 1 kHz | 6283.185307 rad/s |
| 5 kHz | 31415.926536 rad/s |
| 10 kHz | 62831.853072 rad/s |
| 20 kHz | 125663.706144 rad/s |
| 50 kHz | 314159.265359 rad/s |
| 100 kHz | 628318.530718 rad/s |
| 500 kHz | 3.141593e+06 rad/s |
| 1000 kHz | 6.283185e+06 rad/s |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the kilohertz (kHz). Kilohertz is 1000 hertz units.
What is the destination unit in this conversion?
The destination unit is the radians per second (rad/s). Angular frequency converted by one revolution equals 2*pi radians.
How do I convert kilohertz to radians per second?
Multiply the kilohertz value by 6283.185307. For example, 10 kHz × 6283.185307 = 62831.853072 rad/s.
Is the kilohertz to radians per second conversion exact?
Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.
Where is this conversion commonly used?
It's used whenever a value expressed in kilohertz needs to be compared with, or reported in, radians per second, such as in engineering, scientific, or everyday calculations.
Can I convert radians per second back to kilohertz?
Yes. Multiply the radians per second value by 0.000159 to get kilohertz.
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About this conversion
This page converts kilohertz (kHz) to radians per second (rad/s) within the frequency converter.
Kilohertz is 1000 hertz units. Angular frequency converted by one revolution equals 2*pi radians.
The formula is radians per second = kilohertz × 6283.185307, based on each unit's fixed relationship to the frequency converter's base unit.
The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.
Use the calculator above for instant results, or the table below for common kilohertz values already converted to radians per second.