Convert Hertz to Radians Per Second

Enter the frequency in hertz below to get the value converted to radians per second.

Results in Radians Per Second:
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1 Hz = 6.283185 rad/s

How to Convert Hertz to Radians Per Second

conversion scale showing hertz and equivalent radians per second frequency values

To convert a hertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One hertz is equal to 6.283185 radians per second, so use this simple formula to convert:

radians per second = hertz × 6.283185

The frequency in radians per second is equal to the hertz multiplied by 6.283185.

For example, here's how to convert 5 hertz to radians per second using the formula above.
5 Hz = (5 × 6.283185) = 31.415927 rad/s

The following formula can also be used to convert the angular frequency in radians per second to frequency in hertz:

ω = 2πƒ

In other words, the angular frequency ω in radians per second is equal to 2 times pi times the frequency ƒ in hertz.

Hertz and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.


Hertz is formally defined as the frequency equalling one cycle per second.

The hertz is the SI derived unit for frequency in the metric system. Hertz can be abbreviated as Hz, for example 1 hertz can be written as 1 Hz.

Frequency in hertz can be expressed using the formula: Hz = CyclesTimes

Radians Per Second

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in radians per second.

Radians per second can be abbreviated as rad/s, for example 1 radian per second can be written as 1 rad/s.

Hertz Measurements and Equivalent Radian Per Second Conversions

Common hertz values converted to the equivalent radian per second value
Hertz Radians Per Second
1 Hz 6.2832 rad/s
2 Hz 12.57 rad/s
3 Hz 18.85 rad/s
4 Hz 25.13 rad/s
5 Hz 31.42 rad/s
6 Hz 37.7 rad/s
7 Hz 43.98 rad/s
8 Hz 50.27 rad/s
9 Hz 56.55 rad/s
10 Hz 62.83 rad/s
11 Hz 69.12 rad/s
12 Hz 75.4 rad/s
13 Hz 81.68 rad/s
14 Hz 87.96 rad/s
15 Hz 94.25 rad/s
16 Hz 100.53 rad/s
17 Hz 106.81 rad/s
18 Hz 113.1 rad/s
19 Hz 119.38 rad/s
20 Hz 125.66 rad/s
21 Hz 131.95 rad/s
22 Hz 138.23 rad/s
23 Hz 144.51 rad/s
24 Hz 150.8 rad/s
25 Hz 157.08 rad/s
26 Hz 163.36 rad/s
27 Hz 169.65 rad/s
28 Hz 175.93 rad/s
29 Hz 182.21 rad/s
30 Hz 188.5 rad/s
31 Hz 194.78 rad/s
32 Hz 201.06 rad/s
33 Hz 207.35 rad/s
34 Hz 213.63 rad/s
35 Hz 219.91 rad/s
36 Hz 226.19 rad/s
37 Hz 232.48 rad/s
38 Hz 238.76 rad/s
39 Hz 245.04 rad/s
40 Hz 251.33 rad/s

More Hertz Frequency Conversions

Convert to Kilohertz
1 Hz is equal to 0.001 kilohertz
Convert to Megahertz
1 Hz is equal to 1.0E-6 megahertz
Convert to Gigahertz
1 Hz is equal to 1.0E-9 gigahertz
Convert to Terahertz
1 Hz is equal to 1.0E-12 terahertz
Angular Frequency
Convert to Cycles Per Second
1 Hz is equal to 1 cycles per second
Convert to Revolutions Per Minute
1 Hz is equal to 60 revolutions per minute
Convert to Degrees Per Second
1 Hz is equal to 360 degrees per second