Hz to radians per second

The frequency in Hertz is closely related to the angular frequency through the formula ω = 2πf, so we make it easy for you to make this calculation and we offer you a hz to radians per second converter that will save you a lot of time.

Just enter the frequency in Hertz, press the calculate button and you will automatically get the angular frequency in radians per second. In case you want to perform the inverse conversion, the tool also does the function of radians per second to hertz converter.

How to convert from Hz to radians per second

To transform a frequency eh Hertz to rad/sIn the case of a company, the mathematical formula I mentioned at the beginning must be applied:

ω_(rad/s) = 2πf_(Hz)

For example, imagine that we want to pass 300 hz at rad/s. According to the previous operation, we have that:

ω_(rad/s) = 2π x 300 hz = 1884.956 radians per second

The process of conversion from hz to radians per second is not complicated at all. The key point is to remember the formula that relates both frequency units in order to be able to switch from one to the other easily.

Convert hz to rad/s in Excel

If you want to convert hz to rad/s in Excel, you should know that there is no specific function to do it, so we are going to elaborate a formula from the theory seen in the previous point.

To do this, create a new spreadsheet and write the following function in an empty cell:

=2*PI()*f

La letra 'f' la tendrás que sustituir por la frecuencia en hertzios que quieres convertir a radianes por segundo. Por ejemplo, si quieres convert 60 hz to rad/s then the formula in Excel will be written like this:

=2*PI()*60

The method is quite simple and will help you in case you are unable to use our online frequency converter.

How to convert from rad/s to Hz

Going from rad/s to Hz requires that we know the formula for the conversion. Before we find out what it is, it may be interesting to know the equivalence between 1 Hz converted to radians per second:

1 Hz = 2π rad/s = 6.2831853 rad/s

From the above expression, we can deduce that the formula to be used to convert radians per second to hertz is as follows:

f_(Hz) = ω_(rad/s) / 2π

By example,, we are going to change the angular frequency from 300 radians per second to Hz:

f_(Hz) =ω_(rad/s) / 2π = 300 rad/s / 2π = 47.75 Hz

How to convert rad/s to Hz in Excel

If you want to work with the conversion from radians per second to Hz from Excel, the formula to be used in this case is as follows:

=f/(2*PI())

For example, if you want to convert 100 rad/s to hertz, the formula to write in Excel will be this:

=100/(2*PI())

Table of equivalence of Hz to radians per second

As in the transformation from Hz to rad/s the symbol PI is involved, it is not easy to have a mental reference of the equivalence between both units, so we offer you a table with some of the main conversions from Hertz to radians per second that you can print out and carry with you at all times:

Rad/s to Hertz equivalence table

Finally, we have compiled a small table of equivalence of angular frequencies passed to hertz,so you will be able to see in a more approximate way how it affects the changeover from one unit to another:

If you have any questions about how to convert from hz to radians per secondor from rad/s to hz, leave us a comment and we will try to help you as soon as possible.

Nacho

Ingeniero de Telecomunicaciones dedicado al mundo de Internet. En esta web te ayudo a hacer cálculos y conversiones sencillas que con el paso de los años se nos ha olvidado cómo se hace. Si tienes dudas, déjame un comentario y te ayudaré. Si quieres mejorar tu proyecto online o necesitas asesoramiento, write me a message.