To use the calculator, enter the frequency in hertz into the input field labeled “Enter frequency in hertz.” The result will be displayed in the output field labeled “Result in radian per second.” Use the “Convert” button to obtain the conversion. To start over, click on the “Reset” button.
Hertz to Rad/Sec Calculator
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Rad/s to Hz conversion calculator ►
How Do You Convert Hz to Rad/Sec?
1 Hz = 2π rad / s = 6.2831853 rad / s
or
1 rad/s = 1 / 2π Hz = 0.1591549 Hz.
Hertz to Rad/S Formula
The angular frequency or angular velocity ω, measured in radians per second (rad/s), can be calculated by multiplying the frequency f, measured in hertz (Hz), by 2π:
ω(rad/s) = 2π * f(Hz)
Example
Let’s say you have a rotating object that completes 50 revolutions per second. To convert this frequency to radians per second, we need to multiply the frequency in Hertz by 2π (which represents one revolution in radians).
So, for our example, the calculation would be:
ω(rad/s) = 50 Hertz * 2π radian/revolution = 100π radians per second = 314.159265 rad/sec.
Hertz to Rad/Sec Conversion Table
Here’s a table that converts Hertz (Hz) to radians per second (rad/s) for the 40 most commonly used values:
Hertz (Hz) | Radian per second (rad/s) |
---|---|
0 Hz | 0 rad/s |
1 Hz | 6,28 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 | 37,70 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 |
15 Hz | 94,25 rad/s |
20 Hz | 125,66 rad/s |
25 Hz | 157,08 rad/s |
30 Hz | 188,50 rad/s |
40 Hz | 251,33 rad/s |
50 Hz | 314,16 rad/s |
60 Hz | 376,99 rad/s |
70 Hz | 439,82 rad/s |
80 Hz | 502,65 rad/s |
90 Hz | 565,49 rad/s |
100 Hz | 628,32 rad/s |
200 Hz | 1256,64 rad/s |
300 Hz | 1884,96 rad/s |
400 Hz | 2513,27 rad/s |
500 Hz | 3141,59 rad/s |
600 Hz | 3769,91rad/s |
700 Hz | 4398,23 rad/s |
800 Hz | 5026,55 rad/s |
900 Hz | 5654,87 rad/s |
1000 Hz | 6283,19 rad/s |
2000 Hz | 12566,37 rad/s |
3000 Hz | 18849,56 rad/s |
4000 Hz | 25132,74 rad/s |
5000 Hz | 31415,93 rad/s |
6000 Hz | 37699,11 rad/s |
7000 Hz | 43982,30 rad/s |
8000 Hz | 50265,48 rad/s |
9000 Hz | 56548,67 rad/s |
10000 Hz | 62831,85 rad/s |