To use this rad/sec to hertz calculator, simply enter the frequency in radian per second into the provided input field. Once you’ve entered the value, click on the “Convert” button, and the result in hertz will be displayed in the output field. If you want to start over, just click on the “Reset” button.
Hz to rad/s conversion calculator ►
1 Hz = 2π rad/s = 6.2831853 rad/s
or
1 rad/s = 1/2π Hz = 0.1591549433 Hz
In the realm of oscillations, the frequency denoted by ‘f’ in hertz (Hz) can be ascertained by the division of the angular frequency or angular velocity represented by ‘ω’ in radians per second (rad/s) by a constant value of 2π. Mathematically, it can be expressed as:
f(Hz) = ω(rad/s) / 2π
Imagine you’re a talented DJ working on a mind-blowing remix. You want to synchronize the beats per minute (BPM) of two tracks. The first track’s tempo is given in radians per second (rad/s), while the second track follows the more common Hertz (Hz) measurement. To convert from rad/s to Hz, you need to divide the radian value by 6.28.
f(Hz) = ω(rad/s) / 2π, where π ≈ 3.14.
For example, if the first track is spinning at 50 rad/s, dividing by 6.28 gives you approximately 7.96 Hz. Now you can adjust the second track’s tempo accordingly, ensuring a seamless transition between the two and keeping the dancefloor packed with energized partygoers.
Here’s a conversion table for radian per second (rad/sec) to hertz (Hz) that includes the 40 most commonly used values:
| Radian per Second (rad/sec) | Hertz (Hz) |
|---|---|
| 1 | 0.1591549 |
| 2 | 0.3183099 |
| 3 | 0.4774648 |
| 4 | 0.6366198 |
| 5 | 0.7957747 |
| 6 | 0.9549297 |
| 7 | 1.1140847 |
| 8 | 1.2732395 |
| 9 | 1.4323944 |
| 10 | 1.5915494 |
| 15 | 2.3873241 |
| 20 | 3.1830989 |
| 25 | 3.9788736 |
| 30 | 4.7746483 |
| 35 | 5.5704230 |
| 40 | 6.3661977 |
| 45 | 7.1619724 |
| 50 | 7.9577472 |
| 55 | 8.7535219 |
| 60 | 9.5492966 |
| 65 | 10.3450714 |
| 70 | 11.1408462 |
| 75 | 11.9366210 |
| 80 | 12.7323957 |
| 85 | 13.5281705 |
| 90 | 14.3239452 |
| 95 | 15.1197199 |
| 100 | 15.9154943 |
| 200 | 31.8309886 |
| 300 | 47.7464829 |
| 400 | 63.6619772 |
| 500 | 79.5774715 |
| 600 | 95.4929658 |
| 700 | 111.4084602 |
| 800 | 127.3239545 |
| 900 | 143.2394488 |
| 1000 | 159.1549431 |
| 2000 | 318.3098862 |
| 3000 | 477.4648293 |
| 4000 | 636.6197724 |
| 5000 | 795.7747155 |
Rad/s to hz conversion chart
Note: The values in the table have been rounded to seven decimal places for simplicity.
