5 Hertz to Radian/Second
Quick answer
5 Hertz (Hz) equals
31.415927 rad/s
To convert 5 Hertz to Radian/Seconds, multiply by 6.2831853072. Therefore, 5 Hertz (Hz) equals 31.415927 Radian/Second (rad/s).
Formula: rad/s = Hz × 6.2831853072. Calculation: 5 × 6.2831853072 = 31.415927 rad/s.
Convert Hertz (Hz) to Radian/Second (rad/s) online with our free unit converter. In frequency, 1 Hz = 6.283185 rad/s. Explore step-by-step conversion steps, mathematical formulas, and quick conversion reference tables below.
Worked example: converting Hertz to Radian/Second
- Step 1 — start with the formula. rad/s = Hz × 6.2831853072
- Step 2 — substitute your figure. 5 Hz × 6.2831853072
- Step 3 — read the result. 5 Hz = 31.415927 rad/s
- Step 4 — check it in reverse. Hz = rad/s × 0.1591549431 returns 5 Hz, which matches the figure you started with.
Frequency Converter
13 units available
5 Hz = 31.415927 rad/s
Formula:
rad/s = Hz × 6.2831853072With your value: 5 Hz = 31.41592654 rad/s
Other Hertz to Radian/Second conversions
Hertz to Radian/Second Conversion Table
| Hertz (Hz) | 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 Hertz Conversion Table
| Radian/Second (rad/s) | Hertz (Hz) |
|---|---|
| 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.
Hertz (Hz)
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
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
How to Convert Hertz to Radian/Second
To convert from Hertz (Hz) to Radian/Second (rad/s), multiply the value by 6.2831853072.
Formula: rad/s = Hz × 6.2831853072
Reverse: Hz = rad/s × 0.1591549431
Step-by-Step Example
- Start with your value in Hertz. For example: 5 Hz
- Multiply by the conversion factor: 5 x 6.2831853072
- The result is: 31.415927 rad/s
Hertz and Radian/Second Relationship
This calculation facilitates standardized conversion between recognized units of frequency. Since 1 Hertz equals approximately 6.2832 Radian/Seconds, the Hertz represents a larger unit interval than the Radian/Second. Understanding the relationship between Hertz and Radian/Second is essential for accurate calculations in physics, engineering, commerce, and daily applications.
About Hertz
The Hertz (symbol: Hz) is a recognized unit in the Metric (SI) measurement framework, utilized within frequency applications for precision and standardized data representation.
Common uses of Hertz: frequency calculations, engineering and science, education.
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.
Frequently Asked Questions
- What is 5 Hertz in Radian/Second?
- 5 Hertz equals 31.415927 Radian/Second.
- How many Radian/Seconds are in 1 Hertz?
- There are exactly 6.2831853072 Radian/Seconds in 1 Hertz. This means the conversion factor from Hertz to Radian/Second is 6.2831853072.
- What is the formula to convert Hertz to Radian/Second?
- The formula to convert Hertz to Radian/Second is: rad/s = Hz × 6.2831853072. For example, to convert 10 Hertz to Radian/Seconds, you would multiply 10 by 6.2831853072.
- What is a Hertz?
- The Hertz (symbol: Hz) is a recognized unit in the Metric (SI) measurement framework, utilized within frequency applications for precision and standardized data representation.
- 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 are the common uses of Hertz?
- The Hertz is commonly used in frequency calculations, engineering and science, education.
Related Frequency Conversions
Cite this page
UnitConvertLab. (2026). 5 Hertz to Radian/Second. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/5-hertz-to-rad_per_second