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    Frequency Conversion

    40 Revolutions/Hour to Radian/Second

    Quick answer

    40 Revolutions/Hour (rph) equals

    0.069813 rad/s

    To convert 40 Revolutions/Hours to Radian/Seconds, multiply by 0.0017453293. Therefore, 40 Revolutions/Hour (rph) equals 0.069813 Radian/Second (rad/s).

    Formula: rad/s = rph × 0.0017453293. Calculation: 40 × 0.0017453293 = 0.069813 rad/s.

    Convert Revolutions/Hour (rph) to Radian/Second (rad/s) online with our free unit converter. In frequency, 1 rph = 0.001745 rad/s. Explore step-by-step conversion steps, mathematical formulas, and quick conversion reference tables below.

    Worked example: converting Revolutions/Hour to Radian/Second

    1. Step 1 — start with the formula. rad/s = rph × 0.0017453293
    2. Step 2 — substitute your figure. 40 rph × 0.0017453293
    3. Step 3 — read the result. 40 rph = 0.069813 rad/s
    4. Step 4 — check it in reverse. rph = rad/s × 572.9577951308 returns 39.9999 rph, which matches the figure you started with.

    Frequency Converter

    13 units available

    Decimals:
    0.069813

    40 rph = 0.069813 rad/s

    Formula:

    rad/s = rph × 0.0017453293

    With your value: 40 rph = 0.06981317 rad/s

    Other Revolutions/Hour to Radian/Second conversions

    32 rph to rad/s35 rph to rad/s36 rph to rad/s38 rph to rad/s42 rph to rad/s45 rph to rad/s48 rph to rad/sFull Revolutions/Hour to Radian/Second converter

    Revolutions/Hour to Radian/Second Conversion Table

    Revolutions/Hour (rph)Radian/Second (rad/s)
    0.50.000873
    10.001745
    20.003491
    50.008727
    100.017453
    150.02618
    200.034907
    250.043633
    500.087266
    1000.174533
    2500.436332
    5000.872665
    10001.745329

    Radian/Second to Revolutions/Hour Conversion Table

    Radian/Second (rad/s)Revolutions/Hour (rph)
    0.5286.478898
    1572.957795
    21,145.91559
    52,864.788976
    105,729.577951
    158,594.366927
    2011,459.155903
    2514,323.944878
    5028,647.889757
    10057,295.779513
    250143,239.448783
    500286,478.897565
    1000572,957.795131

    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.

    Revolutions/Hour (rph)

    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 Revolutions/Hour to Radian/Second

    To convert from Revolutions/Hour (rph) to Radian/Second (rad/s), multiply the value by 0.0017453293.

    Formula: rad/s = rph × 0.0017453293

    Reverse: rph = rad/s × 572.9577951308

    Step-by-Step Example

    1. Start with your value in Revolutions/Hour. For example: 5 rph
    2. Multiply by the conversion factor: 5 x 0.0017453293
    3. The result is: 0.008727 rad/s

    Revolutions/Hour and Radian/Second Relationship

    This calculation facilitates standardized conversion between recognized units of frequency. Since 1 Revolutions/Hour represents a fraction of a Radian/Second (1 Radian/Second ≈ 572.9578 Revolutions/Hours), the Radian/Second is the larger measurement interval. Understanding the relationship between Revolutions/Hour and Radian/Second is essential for accurate calculations in physics, engineering, commerce, and daily applications.

    About Revolutions/Hour

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

    Common uses of Revolutions/Hour: 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 40 Revolutions/Hour in Radian/Second?
    40 Revolutions/Hour equals 0.069813 Radian/Second.
    How many Radian/Seconds are in 1 Revolutions/Hour?
    There are exactly 0.0017453293 Radian/Seconds in 1 Revolutions/Hour. This means the conversion factor from Revolutions/Hour to Radian/Second is 0.0017453293.
    What is the formula to convert Revolutions/Hour to Radian/Second?
    The formula to convert Revolutions/Hour to Radian/Second is: rad/s = rph × 0.0017453293. For example, to convert 10 Revolutions/Hours to Radian/Seconds, you would multiply 10 by 0.0017453293.
    What is a Revolutions/Hour?
    The Revolutions/Hour (symbol: rph) is a recognized unit in the Standard 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 Revolutions/Hour?
    The Revolutions/Hour is commonly used in frequency calculations, engineering and science, education.

    Related Frequency Conversions

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

    Cite this page

    UnitConvertLab. (2026). 40 Revolutions/Hour to Radian/Second. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/40-rph-to-rad_per_second