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Radian/sec to hertz conversion FullScreen

Easily convert angular velocities from radians per second (rad/s) to hertz (Hz). This online tool simplifies the process of converting between these units, making it convenient for frequency calculations in rotational and oscillatory systems. Upgrade your conversions by effortlessly calculating the equivalent value in hertz for a given angular velocity in rad/s.

Result in hertz: Hz


What is Radian/sec to hertz conversion

To convert radians per second (rad/s) to hertz (Hz), you need to divide the value in radians per second by 2π. This is because there are 2π radians in one revolution, and one revolution per second is equivalent to one hertz.

The formula for the conversion is:

Frequency in hertz (Hz) = Frequency in radians per second (rad/s) / (2π)

For example, if you have a frequency of 10 rad/s and want to convert it to hertz:

Frequency in hertz (Hz) = 10 rad/s / (2π) ≈ 1.591 Hz

So, 10 radians per second is approximately equivalent to 1.591 hertz.

You can use this formula to convert any frequency from radians per second to hertz by dividing the value in radians per second by 2π.

How to calculate hertz from rad/sec

1 Hz = 2π rad/s = 6.2831853 rad/s


1 rad/s = 1/2π Hz = 0.1591549 Hz

Rad/s to hertz formula

the frequency f in hertz (Hz) is equal to the angular frequency or angular velocity ω in radians per second (rad/s) divided by 2π:

f(Hz) = ω(rad/s) / 2π

Rad/s to hertz Example

Calculate frequency in hertz from angular velocity of 300 rad/s:

f(Hz) = 300rad/s / 2π = 47.75 Hz

Rad/sec to hertz conversion table

Radian per second
0 rad/s 0 Hz
1 rad/s 0.1592 Hz
2 rad/s 0.3183 Hz
3 rad/s 0.4775 Hz
4 rad/s 0.6366 Hz
5 rad/s 0.7958 Hz
6 rad/s 0.9549 Hz
7 rad/s 1.1141 Hz
8 rad/s 1.2732 Hz
9 rad/s 1.4324 Hz
10 rad/s 1.5915 Hz
20 rad/s 3.1831 Hz
30 rad/s 4.7746 Hz
40 rad/s 6.3662 Hz
50 rad/s 7.9577 Hz
60rad/s 9.5493 Hz
70rad/s 11.1408 Hz
80rad/s 12.7324 Hz
90rad/s 14.3239 Hz
100rad/s 15.9155 Hz
200rad/s 31.8310 Hz
300rad/s 47.7465 Hz
400rad/s 63.6620 Hz
500rad/s 79.5775 Hz
600rad/s 95.493 Hz
700rad/s 111.4085 Hz
800rad/s 127.3240 Hz
900rad/s 143.2394 Hz
1000rad/s 159.1549 Hz