Cycle/Second to Radian/Second Converter

Frequency Converter

13 units available

Decimals:

From

To

6.283185

1 cps = 6.283185 rad/s

Formula:

rad/s = cps × 6.2831853072

With your value: 1 cps = 6.28318531 rad/s

Other Cycle/Second to Radian/Second conversions

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

Cycle/Second to Radian/Second Conversion Table

Cycle/Second (cps)	Radian/Second (rad/s)
0.5	3.141593
1	6.283185
2	12.566371
5	31.415927
10	62.831853
15	94.24778
20	125.663706
25	157.079633
50	314.159265
100	628.318531
250	1,570.796327
500	3,141.592654
1000	6,283.185307

Radian/Second to Cycle/Second Conversion Table

Radian/Second (rad/s)	Cycle/Second (cps)
0.5	0.079577
1	0.159155
2	0.31831
5	0.795775
10	1.591549
15	2.387324
20	3.183099
25	3.978874
50	7.957747
100	15.915494
250	39.788736
500	79.577472
1000	159.154943

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.

Cycle/Second (cps)

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 Cycle/Second to Radian/Second

To convert from Cycle/Second (cps) to Radian/Second (rad/s), multiply the value by 6.2831853072.

Formula: rad/s = cps × 6.2831853072

Reverse: cps = rad/s × 0.1591549431

Step-by-Step Example

Start with your value in Cycle/Second. For example: 5 cps
Multiply by the conversion factor: 5 x 6.2831853072
The result is: 31.415927 rad/s

About Cycle/Second

The cycle/second (cps) is a unit of frequency. One cycle/second equals 1 hertz. 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 Cycle/Second?

There are exactly 6.2831853072 Radian/Second in 1 Cycle/Second. This means the conversion factor from Cycle/Second to Radian/Second is 6.2831853072.

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

The formula to convert Cycle/Second to Radian/Second is: rad/s = cps × 6.2831853072. For example, to convert 10 Cycle/Second to Radian/Second, you would multiply 10 by 6.2831853072.

What is a Cycle/Second?