15 Radian/Second to Cycle/Second
Quick answer
15 Radian/Second (rad/s) equals
2.387324 cps
To convert 15 Radian/Seconds to Cycle/Seconds, multiply by 0.1591549431. Therefore, 15 Radian/Second (rad/s) equals 2.387324 Cycle/Second (cps).
Formula: cps = rad/s × 0.1591549431. Calculation: 15 × 0.1591549431 = 2.387324 cps.
Convert Radian/Second (rad/s) to Cycle/Second (cps) online with our free unit converter. In frequency, 1 rad/s = 0.159155 cps. Explore step-by-step conversion steps, mathematical formulas, and quick conversion reference tables below.
Worked example: converting Radian/Second to Cycle/Second
- Step 1 — start with the formula. cps = rad/s × 0.1591549431
- Step 2 — substitute your figure. 15 rad/s × 0.1591549431
- Step 3 — read the result. 15 rad/s = 2.387324 cps
- Step 4 — check it in reverse. rad/s = cps × 6.2831853072 returns 15 rad/s, which matches the figure you started with.
Frequency Converter
13 units available
15 rad/s = 2.387324 cps
Formula:
cps = rad/s × 0.1591549431With your value: 15 rad/s = 2.38732415 cps
Other Radian/Second to Cycle/Second conversions
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
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
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
Radian/Second and Cycle/Second Relationship
This calculation facilitates standardized conversion between recognized units of frequency. Since 1 Radian/Second represents a fraction of a Cycle/Second (1 Cycle/Second ≈ 6.2832 Radian/Seconds), the Cycle/Second is the larger measurement interval. Understanding the relationship between Radian/Second and Cycle/Second is essential for accurate calculations in physics, engineering, commerce, and daily applications.
About Radian/Second
The Radian/Second (symbol: rad/s) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.
Common uses of Radian/Second: frequency calculations, engineering and science, education.
About Cycle/Second
The Cycle/Second (symbol: cps) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.
Common uses of Cycle/Second: frequency calculations, engineering and science, education.
Frequently Asked Questions
- What is 15 Radian/Second in Cycle/Second?
- 15 Radian/Second equals 2.387324 Cycle/Second.
- How many Cycle/Seconds are in 1 Radian/Second?
- There are exactly 0.1591549431 Cycle/Seconds 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/Seconds to Cycle/Seconds, you would multiply 10 by 0.1591549431.
- What is a Radian/Second?
- The Radian/Second (symbol: rad/s) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.
- What is a Cycle/Second?
- The Cycle/Second (symbol: cps) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.
- What are the common uses of Radian/Second?
- The Radian/Second is commonly used in frequency calculations, engineering and science, education.
Related Frequency Conversions
Cite this page
UnitConvertLab. (2026). 15 Radian/Second to Cycle/Second. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/15-rad_per_second-to-cycle_per_second