Hertz to radian/sec conversion

Frequency in hertz (Hz) to angular velocity in radian per second (rad/s) calculator and how to convert.

Hertz to rad/sec calculator

Enter the frequency in hertz and press the Calc button:

Hz
   
Result in radian per second: rad/s

Rad/s to Hz conversion calculator ►

How to calculate rad/sec from hertz

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 in radian per second (rad/s) is equal to 2π times the frequency f in hertz (Hz):

ω(rad/s) = 2π×f(Hz)

Example

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

ω(rad/s) = 2π×300Hz = 1884.956 rad/s

Hertz to rad/sec conversion table

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
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 376.99rad/s
70 Hz 439.82rad/s
80 Hz 502.65rad/s
90 Hz 565.49rad/s
100 Hz 628.32rad/s
200 Hz 1256.64rad/s
300 Hz 1884.96rad/s
400 Hz 2513.27rad/s
500 Hz 3141.59rad/s
600 Hz 3769.91rad/s
700 Hz 4398.23rad/s
800 Hz 5026.55rad/s
900 Hz 5654.87rad/s
1000 Hz 6283.19rad/s
2000 Hz 12566.37rad/s
3000 Hz 18849.56rad/s
4000 Hz 25132.74rad/s
5000 Hz 31415.93rad/s
6000 Hz 37699.11rad/s
7000 Hz 43982.30rad/s
8000 Hz 50265.48rad/s
9000 Hz 56548.67rad/s
10000 Hz 62831.85rad/s

 

Rad/s to Hz conversion calculator ►

 


See also

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