Hertz to Radian/Sec Conversion

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

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 Hz0 rad/s
1 Hz6,28 rad/s
2 Hz12,57 rad/s
3 Hz18,85 rad/s
4 Hz25,13 rad/s
5 Hz31,42 rad/s
6 Hz37,70 rad/s
7 Hz43,98 rad/s
8 Hz50,27 rad/s
9 Hz56,55 rad/s
10 Hz62,83 rad/s
15 Hz94,25 rad/s
20 Hz125,66 rad/s
25 Hz157,08 rad/s
30 Hz188,50 rad/s
40 Hz251,33 rad/s
50 Hz314,16 rad/s
60 Hz376,99 rad/s
70 Hz439,82 rad/s
80 Hz502,65 rad/s
90 Hz565,49 rad/s
100 Hz628,32 rad/s
200 Hz1256,64 rad/s
300 Hz1884,96 rad/s
400 Hz2513,27 rad/s
500 Hz3141,59 rad/s
600 Hz3769,91rad/s
700 Hz4398,23 rad/s
800 Hz5026,55 rad/s
900 Hz5654,87 rad/s
1000 Hz6283,19 rad/s
2000 Hz12566,37 rad/s
3000 Hz18849,56 rad/s
4000 Hz25132,74 rad/s
5000 Hz31415,93 rad/s
6000 Hz37699,11 rad/s
7000 Hz43982,30 rad/s
8000 Hz50265,48 rad/s
9000 Hz56548,67 rad/s
10000 Hz62831,85 rad/s
Hertz to rad/s conversion chart

See Also

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