To use the RPM to rad/sec conversion calculator, simply enter the frequency in revolutions per minute (RPM) in the specified input field. Once you’ve done that, click the “Convert” button, and the calculator will display the result in radians per second in the output area. If you need to restart, press the “Reset” button to clear the input and output fields. Enjoy transforming your unit effortlessly!
RPM to Rad/Sec Conversion Calculator
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Rad/s to RPM conversion calculator ►
How Do You Convert RPM to Rad/S?
If you want to convert a value given in revolutions per minute to radians per second, there’s a straightforward conversion process. Multiply the frequency by the conversion ratio of 0.104719755 radians per second per revolution per minute.
Considering that one RPM corresponds to 0.104719755 radians per second, you can employ this uncomplicated formula for the conversion:
ω(rad/s) = 2π * RPM / 60 = RPM * 0.104719755, where π = 3.1415926535
Thus, the frequency in radians per second can be obtained by multiplying the frequency in RPM by 0.104719755.
Example
Imagine that you’re a car enthusiast, eagerly discussing the performance of your favorite sports car with a fellow enthusiast. You exclaim, “Did you know that the engine revs at 7,500 revolutions per minute? That reveals the mind!” Your friend, equally impressed, responds, “Of course! But do you know how fast that is in radians per second?” With a twinkle in your eye, you do a quick calculation and answer, “Oh, it’s about 785.4 radians per second!
ω(rad/s) = 2π * 7500 / 60 = 7500 * 0.104719755 ≈ 785.4 rad/sec
Revolution per Minute to Radian per Second Conversion Table
Here’s a conversion table that includes the 40 most commonly used revolution per minute (RPM) to radian per second (rad/s) conversions:
| RPM | rad/s |
|---|---|
| 1 RPM | 0.10472 rad/s |
| 2 RPM | 0.20944 rad/s |
| 3 RPM | 0.31416 rad/s |
| 4 RPM | 0.41888 rad/s |
| 5 RPM | 0.52360 rad/s |
| 6 RPM | 0.62832 rad/s |
| 7 RPM | 0.73304 rad/s |
| 8 RPM | 0.83776 rad/s |
| 9 RPM | 0.94248 rad/s |
| 10 RPM | 1.04720 rad/s |
| 15 RPM | 1.57080 rad/s |
| 20 RPM | 2.09440 rad/s |
| 25 RPM | 2.61800 rad/s |
| 30 RPM | 3.14160 rad/s |
| 35 RPM | 3.66520 rad/s |
| 40 RPM | 4.18880 rad/s |
| 45 RPM | 4.71240 rad/s |
| 50 RPM | 5.23600 rad/s |
| 55 RPM | 5.75960 rad/s |
| 60 RPM | 6.28320 rad/s |
| 65 RPM | 6.80680 rad/s |
| 70 RPM | 7.33040 rad/s |
| 75 RPM | 7.85400 rad/s |
| 80 RPM | 8.37760 rad/s |
| 85 RPM | 8.90120 rad/s |
| 90 RPM | 9.42480 rad/s |
| 95 RPM | 9.94840 rad/s |
| 100 RPM | 10.47200 rad/s |
| 120 RPM | 12.56637 rad/s |
| 200 RPM | 20.94400 rad/s |
| 300 RPM | 31.41600 rad/s |
| 500 RPM | 52.35988 rad/s |
| 600 RPM | 62.83185 rad/s |
| 900 RPM | 94.24777 rad/s |
| 1000 RPM | 104.71975 rad/s |
| 1200 RPM | 125.66371 rad/s |
| 1500 RPM | 157.07963 rad/s |
| 1800 RPM | 188.49556 rad/s |
| 2000 RPM | 209.43950 rad/s |
| 3000 RPM | 314.15927 rad/s |
| 3600 RPM | 376.99112 rad/s |
Please note that the values in the table are rounded to five decimal places for simplicity.
