Kilohertz to Radian/Second Converter

Frequency Converter

13 units available

Decimals:

From

To

6,283.185307

1 kHz = 6,283.185307 rad/s

Formula:

rad/s = kHz × 6,283.1853071796

With your value: 1 kHz = 6,283.18530718 rad/s

Other Kilohertz to Radian/Second conversions

2 kHz to rad/s 3 kHz to rad/s 4 kHz to rad/s 5 kHz to rad/s 6 kHz to rad/s 7 kHz to rad/s 8 kHz to rad/s

Kilohertz to Radian/Second Conversion Table

Kilohertz (kHz)	Radian/Second (rad/s)
0.5	3,141.592654
1	6,283.185307
2	12,566.370614
5	31,415.926536
10	62,831.853072
15	94,247.779608
20	125,663.706144
25	157,079.632679
50	314,159.265359
100	628,318.530718
250	1,570,796.326795
500	3,141,592.65359
1000	6,283,185.30718

Radian/Second to Kilohertz Conversion Table

Radian/Second (rad/s)	Kilohertz (kHz)
0.5	7.957747e-5
1	0.000159
2	0.000318
5	0.000796
10	0.001592
15	0.002387
20	0.003183
25	0.003979
50	0.007958
100	0.015915
250	0.039789
500	0.079577
1000	0.159155

Where these values come from

Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.

Kilohertz (kHz)

Frequency

SI definition

Derived from the hertz (1 Hz = 1 s⁻¹), traceable to the SI second.

Source: BIPM, The International System of Units (SI), 9th edition, 2019 (updated 2024)

Bureau International des Poids et Mesures · Reviewed 2026-07-01

Radian/Second (rad/s)

Frequency

SI definition

Derived from the hertz (1 Hz = 1 s⁻¹), traceable to the SI second.

Source: BIPM, The International System of Units (SI), 9th edition, 2019 (updated 2024)

Bureau International des Poids et Mesures · Reviewed 2026-07-01

How to Convert Kilohertz to Radian/Second

To convert from Kilohertz (kHz) to Radian/Second (rad/s), multiply the value by 6,283.1853071796.

Formula: rad/s = kHz × 6,283.1853071796

Reverse: kHz = rad/s × 0.0001591549

Step-by-Step Example

Start with your value in Kilohertz. For example: 5 kHz
Multiply by the conversion factor: 5 x 6,283.1853071796
The result is: 31,415.926536 rad/s

About Kilohertz

The kilohertz (kHz) is a unit of frequency. One kilohertz equals 1000 hertzs. UnitConvertLab converts it against every other frequency unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.

Common uses: frequency calculations, engineering and science, education.

About Radian/Second

The radian/second (rad/s) is a unit of frequency. One radian/second equals 0.1591549431 hertzs. UnitConvertLab converts it against every other frequency unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.

Common uses: frequency calculations, engineering and science, education.

Frequently Asked Questions

How many Radian/Second are in 1 Kilohertz?

There are exactly 6,283.1853071796 Radian/Second in 1 Kilohertz. This means the conversion factor from Kilohertz to Radian/Second is 6,283.1853071796.

What is the formula to convert Kilohertz to Radian/Second?

The formula to convert Kilohertz to Radian/Second is: rad/s = kHz × 6,283.1853071796. For example, to convert 10 Kilohertz to Radian/Second, you would multiply 10 by 6,283.1853071796.

What is a Kilohertz?