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Radians per second to Hertz Converter

1 rad/s = 0.159155 Hz (radian per second → hertz)

1 rad/s = 0.159155 Hz

1 radian per second equals 0.159155 hertz. To convert radians per second to hertz, multiply the radian per second value by 0.159155. For quick reference: 1 rad/s = 0.159155 Hz, 5 rad/s = 0.795775 Hz, 10 rad/s = 1.59155 Hz, 100 rad/s = 15.9155 Hz.

How to convert radians per second to hertz

  1. Take your value

    Start with your value in radians per second.

  2. Multiply by 0.159155

    Multiply the radian per second value by 0.159155. This is the exact conversion factor from radians per second to hertz.

  3. Read the result

    The product is your value in hertz. For example, 5 rad/s × 0.159155 = 0.795775 Hz.

Conversion formula

The exact factor from radians per second to hertz is 0.159155.

Hertz = Radians per second × 0.159155

Radians per second to Hertz conversion table

Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.

Conversion table from radians per second to hertz
Radians per second (rad/s)Hertz (Hz)
0.1 rad/s0.015915 Hz
0.25 rad/s0.039789 Hz
0.5 rad/s0.079577 Hz
1 rad/s0.15915 Hz
2 rad/s0.31831 Hz
3 rad/s0.47746 Hz
4 rad/s0.63662 Hz
5 rad/s0.79577 Hz
6 rad/s0.95493 Hz
7 rad/s1.1141 Hz
8 rad/s1.2732 Hz
9 rad/s1.4324 Hz
10 rad/s1.5915 Hz
11 rad/s1.7507 Hz
12 rad/s1.9099 Hz
13 rad/s2.069 Hz
14 rad/s2.2282 Hz
15 rad/s2.3873 Hz
16 rad/s2.5465 Hz
18 rad/s2.8648 Hz
20 rad/s3.1831 Hz
22 rad/s3.5014 Hz
24 rad/s3.8197 Hz
25 rad/s3.9789 Hz
28 rad/s4.4563 Hz
30 rad/s4.7746 Hz
32 rad/s5.093 Hz
36 rad/s5.7296 Hz
40 rad/s6.3662 Hz
45 rad/s7.162 Hz
48 rad/s7.6394 Hz
50 rad/s7.9577 Hz
60 rad/s9.5493 Hz
70 rad/s11.141 Hz
75 rad/s11.937 Hz
80 rad/s12.732 Hz
90 rad/s14.324 Hz
100 rad/s15.915 Hz
125 rad/s19.894 Hz
150 rad/s23.873 Hz
200 rad/s31.831 Hz
250 rad/s39.789 Hz
300 rad/s47.746 Hz
400 rad/s63.662 Hz
500 rad/s79.577 Hz
600 rad/s95.493 Hz
750 rad/s119.37 Hz
800 rad/s127.32 Hz
900 rad/s143.24 Hz
1000 rad/s159.15 Hz

Real-world reference

A motor spinning at 1,000 RPM has an angular velocity of about 104.7 rad/s. Angular velocity in rotational-dynamics equations is conventionally expressed in rad/s. In hertz, that gives you: 1 rad/s = 0.159155 Hz, 10 rad/s = 1.59155 Hz, 100 rad/s = 15.9155 Hz.

Frequently asked questions

How many hertz are in 1 radian per second?
1 radian per second equals 0.159155 hertz.
How do I convert radians per second to hertz?
Multiply the radian per second value by 0.159155. So x rad/s × 0.159155 = the equivalent in Hz.
What is 5 radians per second in hertz?
5 radians per second equals 0.795775 hertz.
What is 10 radians per second in hertz?
10 radians per second equals 1.59155 hertz.
What is 100 radians per second in hertz?
100 radians per second equals 15.9155 hertz.
How do I convert back from hertz to radians per second?
Multiply the hertz value by 6.28319. For example, 1 Hz = 6.28319 rad/s.
Is the radian per second bigger than the hertz?
No. 1 radian per second is smaller than 1 hertz. It takes 6.28319 radians per second to equal 1 hertz.
Are these conversion factors exact?
The factor is derived directly from the SI definitions of radian per second and hertz; the displayed value is rounded for readability, and the browser computes using IEEE 754 double-precision arithmetic.

About the radian per second and the hertz

The radian per second

The radian per second (rad/s) equals 1/(2π) Hz, since one full cycle sweeps out 2π radians. It is the standard unit for angular velocity in physics and control-systems engineering, distinct from RPM's mechanical-engineering convention.

The hertz

The hertz (Hz) is the SI derived unit of frequency, equal to one cycle per second. It is the universal unit for sound pitch, electrical AC frequency, processor clock speed (in multiples), and radio and wireless signal frequencies.

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