The frequency in Hertz is closely related to the angular frequency through the formula *ω* = 2π*f*, 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**.

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## How to convert from Hz to radians per second

To transform a frequency eh **Hertz to rad/s**In 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)}= 2πx 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

The letter 'f' must be replaced by the frequency in hertz that you want to convert to radians per second. For example, if you want to **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:

Hertz (Hz) | Radians 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 |

20 Hz | 125.66 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 | 3769.91 rad/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 |

## 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:

Radians per second (rad/s) | Hertz (Hz) |
---|---|

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 |

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

hello, I really don't understand why multiplying 2π x 300 hz and if one hz is equivalent to 6.28 rad/s how do you get the answer? thanks

Hello Brandon,

Can you specify your doubt a little more? Have you noticed that 6.28 rad/s is exactly 2π?

If you can tell us what questions you have when changing from hz to radians per second we can help you in a better way.

Greetings!