Radians per Second (rad/s)	Hertz (Hz)
1 rad/s	0.1592 Hz
2 rad/s	0.3183 Hz
5 rad/s	0.7958 Hz
10 rad/s	1.5915 Hz
25 rad/s	3.9789 Hz
50 rad/s	7.9577 Hz
100 rad/s	15.9155 Hz
250 rad/s	39.7887 Hz
500 rad/s	79.5775 Hz
1000 rad/s	159.1549 Hz

Convert Radians per Second to Hertz

Convert radians per second to hertz (rad/s to Hz) with our instant calculator. 1 rad/s = 0.159155 Hz. Includes exact formula and reference tables.

How to Convert Radians per Second to Hertz (rad/s to Hz)

1 Radians per Second (rad/s) is equal to 0.159155 Hertz (Hz). Multiply the radians per second value by 0.1591549431

Quick Answer 1 rad/s = 0.159155 Hz

Formula Hz = rad/s × 0.1591549431

Inverse Factor 1 Hz = 6.283185 rad/s

Unit Definitions & Metrology Context

The standard SI unit of frequency is the hertz (Hz), defined as one complete cycle or oscillation per second (1 s⁻¹).

About Radians per Second (rad/s): Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz).

About Hertz (Hz): Hertz (Hz) is a unit in the Frequency measurement category. It is widely used in base si unit (1 cycle/sec). The hertz (Hz) serves as the primary reference base unit for the frequency domain.

Need to convert in the opposite direction? Visit our Convert Hertz to Radians per Second (Hz to rad/s) calculator (1 Hz = 6.283185 rad/s).

Step-by-Step Worked Examples (rad/s to Hz)

Convert 5 Radians per Second to Hertz: Applying the formula (Hz = rad/s × 0.1591549431): starting with 5 rad/s, multiply the radians per second value by 0.1591549431 to get 0.7958 Hz.
Convert 10 Radians per Second to Hertz: Applying the formula (Hz = rad/s × 0.1591549431): starting with 10 rad/s, multiply the radians per second value by 0.1591549431 to get 1.5915 Hz.
Convert 50 Radians per Second to Hertz: Applying the formula (Hz = rad/s × 0.1591549431): starting with 50 rad/s, multiply the radians per second value by 0.1591549431 to get 7.9577 Hz.

Popular Frequency Conversions

Hertz ⇄ Revolutions per Minute

Multiply Hertz by 60 to calculate Revolutions per Minute (RPM = Hz × 60).

Revolutions per Minute ⇄ Hertz

Divide RPM by 60 to find frequency in Hertz (Hz = RPM ÷ 60).

Gigahertz ⇄ Megahertz

1 gigahertz (GHz) contains exactly 1,000 megahertz (MHz).

Megahertz ⇄ Kilohertz

1 megahertz (MHz) contains exactly 1,000 kilohertz (kHz).

Radians per Second ⇄ Hertz

Divide radians per second by 2π (~6.283185) to calculate frequency in Hertz.

Frequently Asked Questions

Verified answers and formulas for converting radians per second to hertz.

How many hertz are in 1 radians per second?

There are 0.159155 hertz (Hz) in 1 radians per second (rad/s). Conversely, 1 hertz equals 6.283185 radians per second.

How do you convert radians per second to hertz?

To convert radians per second (rad/s) to hertz (Hz), use the formula: Hz = rad/s × 0.1591549431. Multiply the radians per second value by 0.1591549431. For example, 10 rad/s equals 1.5915 Hz.

How do I convert back from hertz to radians per second?

To convert in the reverse direction from hertz (Hz) to radians per second (rad/s), use the inverse formula: rad/s = Hz × 6.283185307. Multiply the hertz value by 6.283185307 (1 Hz = 6.283185 rad/s).

What is the difference between radians per second (rad/s) and hertz (Hz)?

Both radians per second and hertz measure frequency. Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz). Hertz (Hz) is a unit in the Frequency measurement category. It is widely used in base si unit (1 cycle/sec). The hertz (Hz) serves as the primary reference base unit for the frequency domain.

How do you convert RPM to Hertz (Hz)?

To convert RPM (revolutions per minute) to Hertz (cycles per second), divide by 60. For example, a car engine idling at 600 RPM is spinning at 10 Hz (600 ÷ 60 = 10 Hz).