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    Frequency Conversion

    Radian/Second to Revolutions/Second Converter

    Quick answer

    To convert Radian/Seconds to Revolutions/Seconds, multiply by 0.1591549431 (or divide by 6.2831853072). Therefore, 1 Radian/Second (rad/s) equals 0.15915494 Revolutions/Seconds (rps).

    Formula: rps = rad/s × 0.1591549431. Worked example: 10 rad/s = 1.591549 rps.

    Convert Radian/Second (rad/s) to Revolutions/Second (rps) online with our free unit converter. In frequency, 1 rad/s = 0.159155 rps. Explore step-by-step conversion steps, mathematical formulas, and quick conversion reference tables below.

    Worked example: converting Radian/Second to Revolutions/Second

    1. Step 1 — start with the formula. rps = rad/s × 0.1591549431
    2. Step 2 — substitute your figure. 10 rad/s × 0.1591549431
    3. Step 3 — read the result. 10 rad/s = 1.591549 rps
    4. Step 4 — check it in reverse. rad/s = rps × 6.2831853072 returns 10 rad/s, which matches the figure you started with.

    Frequency Converter

    13 units available

    Decimals:
    0.159155

    1 rad/s = 0.159155 rps

    Formula:

    rps = rad/s × 0.1591549431

    With your value: 1 rad/s = 0.15915494 rps

    Other Radian/Second to Revolutions/Second conversions

    2 rad/s to rps3 rad/s to rps4 rad/s to rps5 rad/s to rps6 rad/s to rps7 rad/s to rps8 rad/s to rps

    Radian/Second to Revolutions/Second Conversion Table

    Radian/Second (rad/s)Revolutions/Second (rps)
    0.50.079577
    10.159155
    20.31831
    50.795775
    101.591549
    152.387324
    203.183099
    253.978874
    507.957747
    10015.915494
    25039.788736
    50079.577472
    1000159.154943

    Revolutions/Second to Radian/Second Conversion Table

    Revolutions/Second (rps)Radian/Second (rad/s)
    0.53.141593
    16.283185
    212.566371
    531.415927
    1062.831853
    1594.24778
    20125.663706
    25157.079633
    50314.159265
    100628.318531
    2501,570.796327
    5003,141.592654
    10006,283.185307

    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

    Revolutions/Second (rps)

    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 Revolutions/Second

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

    Formula: rps = rad/s × 0.1591549431

    Reverse: rad/s = rps × 6.2831853072

    Step-by-Step Example

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

    Radian/Second and Revolutions/Second Relationship

    This calculation facilitates standardized conversion between recognized units of frequency. Since 1 Radian/Second represents a fraction of a Revolutions/Second (1 Revolutions/Second ≈ 6.2832 Radian/Seconds), the Revolutions/Second is the larger measurement interval. Understanding the relationship between Radian/Second and Revolutions/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 Revolutions/Second

    The Revolutions/Second (symbol: rps) is a recognized unit in the Standard measurement framework, utilized within frequency applications for precision and standardized data representation.

    Common uses of Revolutions/Second: frequency calculations, engineering and science, education.

    Frequently Asked Questions

    How many Revolutions/Seconds are in 1 Radian/Second?
    There are exactly 0.1591549431 Revolutions/Seconds in 1 Radian/Second. This means the conversion factor from Radian/Second to Revolutions/Second is 0.1591549431.
    What is the formula to convert Radian/Second to Revolutions/Second?
    The formula to convert Radian/Second to Revolutions/Second is: rps = rad/s × 0.1591549431. For example, to convert 10 Radian/Seconds to Revolutions/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 Revolutions/Second?
    The Revolutions/Second (symbol: rps) 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

    Hertz → Revolutions/SecondKilohertz → Revolutions/SecondMegahertz → Revolutions/SecondGigahertz → Revolutions/SecondTerahertz → Revolutions/SecondMillihertz → Revolutions/SecondMicrohertz → Revolutions/SecondRevolutions/Minute → Revolutions/SecondRevolutions/Hour → Revolutions/Second

    Cite this page

    UnitConvertLab. (2026). Radian/Second to Revolutions/Second converter. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/rad_per_second-to-rps