👤 By Why Calculator Team ✔ Reviewed by Matt Le (Founder of Why Calculator) 📅 Last Updated April 12, 2025
RPM to Radians per Second Calculator
Result:
Unit
Value
Radians per second (rad/s)
Results will appear here
Radians per minute (rad/m)
Results will appear here
Result:
| Unit | Value |
|---|---|
| Radians per second (rad/s) | Results will appear here |
| Radians per minute (rad/m) | Results will appear here |
Disclaimer: While we strive to ensure the accuracy of our calculator tools, we cannot be held responsible for any damages or financial losses resulting from their use.
This RPM to Rad/S Calculator helps you easily convert rotational speed from revolutions per minute (RPM) to radians per second (rad/s) and radians per minute (rad/m). This tool is especially useful in physics, engineering, and mechanical calculations. Simply input the RPM value and click “Calculate” to see instant results.
It eliminates the need for manual formula application and provides accurate results in both common angular units. Whether you’re a student, technician, or hobbyist, this tool simplifies your rotational speed conversions.
What is RPM?
RPM, or Revolutions Per Minute, refers to how many complete turns an object makes in one minute. It’s a common unit used to express the rotational speed of machines, engines, and other spinning components.
What is rad/s?
Radians per second (rad/s) is a unit that indicates how quickly something rotates, measured in radians per second. Since one full turn equals 2Ο radians, this unit provides a more precise way to represent rotational speed in scientific and engineering contexts.
How to Convert RPM to Radians Per Second (rad/s)
To convert RPM (Revolutions Per Minute) to rad/s (Radians Per Second), use the following formula:
rad/s = RPM Γ 2Ο/60
βWhy?
- One full revolution = 2Ο radians
- One minute = 60 seconds
- So, to get radians per second from revolutions per minute, multiply by 2Ο/60
Example 1: Convert 60 RPM to rad/s
rad/s = 60 Γ 2Ο/60 = 2Ο β 6.283 rad/s
Example 2: Convert 120 RPM to rad/s
rad/s = 120 Γ 2Ο/60 = 4Ο β 12.566 rad/s
RPM to Rad/s Conversion Table:
| RPM | Radians per second (rad/s) |
|---|---|
| 0 | 0.000 |
| 100 | 10.472 |
| 200 | 20.944 |
| 300 | 31.416 |
| 400 | 41.888 |
| 500 | 52.360 |
| 600 | 62.832 |
| 700 | 73.304 |
| 800 | 83.776 |
| 900 | 94.248 |
| 1000 | 104.720 |
| 1100 | 115.192 |
| 1200 | 125.664 |
| 1300 | 136.136 |
| 1400 | 146.608 |
| 1500 | 157.080 |
| 1600 | 167.552 |
| 1700 | 178.024 |
| 1800 | 188.496 |
| 1900 | 198.968 |
| 2000 | 209.440 |
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