Radian/sec to hertz conversion
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.
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
or
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 (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 |
