Radian/Second to Cycle/Second Converter

Frequency Converter

13 units available

Decimals:

From

To

0.159155

1 rad/s = 0.159155 cps

Formula:

cps = rad/s × 0.1591549431

With your value: 1 rad/s = 0.15915494 cps

Other Radian/Second to Cycle/Second conversions

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

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

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

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.

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

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

How to Convert Radian/Second to Cycle/Second

To convert from Radian/Second (rad/s) to Cycle/Second (cps), multiply the value by 0.1591549431.

Formula: cps = rad/s × 0.1591549431

Reverse: rad/s = cps × 6.2831853072

Step-by-Step Example

Start with your value in Radian/Second. For example: 5 rad/s
Multiply by the conversion factor: 5 x 0.1591549431
The result is: 0.795775 cps

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.

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.

Frequently Asked Questions

How many Cycle/Second are in 1 Radian/Second?

There are exactly 0.1591549431 Cycle/Second in 1 Radian/Second. This means the conversion factor from Radian/Second to Cycle/Second is 0.1591549431.

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

The formula to convert Radian/Second to Cycle/Second is: cps = rad/s × 0.1591549431. For example, to convert 10 Radian/Second to Cycle/Second, you would multiply 10 by 0.1591549431.

What is a Radian/Second?