Convert Radians per second to Revolutions per minute
Instantly convert Radians per second (rad/s) to Revolutions per minute (RPM) with our free online calculator.
Formula: rad/s to RPM — multiply by 9.5493
Reference Table
| Radians per second (rad/s) | Revolutions per minute (RPM) |
|---|---|
| 1 | 9.5493 |
| 5 | 47.7465 |
| 10 | 95.493 |
| 25 | 238.732 |
| 50 | 477.465 |
| 100 | 954.93 |
How to Convert Radians per second to Revolutions per minute
Formula
To convert Radians per second (rad/s) to Revolutions per minute (RPM): multiply by 9.5493
Step-by-Step
- Start with your value in Radians per second (rad/s).
- Multiply by 9.5493 to perform the conversion.
- The result is your value expressed in Revolutions per minute (RPM).
Conversion Factor
1 rad/s = 9.5493 RPM
Reverse Factor
1 RPM = 0.10472 rad/s
Worked Example
Convert 25 Radians per second to Revolutions per minute: 25 rad/s = 238.732 RPM
About Radian per second (rad/s)
The SI unit of angular velocity; one radian of rotation per second
About Revolutions per minute (RPM)
Common rotational speed unit; number of full rotations per minute
Quick Facts
- 1 Radian per second equals 9.5493 Revolutions per minute
- 1 Revolutions per minute equals 0.10472 Radians per second
- Radian per second is a unit of angular velocity
- Revolutions per minute is a unit of angular velocity
- This conversion is commonly used in motor specifications, rotating machinery, and mechanical design
Common Radian per second to Revolutions per minute Conversions
| Radians per second (rad/s) | Revolutions per minute (RPM) |
|---|---|
| 0.01 | 0.095493 |
| 0.1 | 0.95493 |
| 0.25 | 2.38732 |
| 0.5 | 4.77465 |
| 1 | 9.5493 |
| 2 | 19.0986 |
| 3 | 28.6479 |
| 5 | 47.7465 |
| 10 | 95.493 |
| 15 | 143.239 |
| 20 | 190.986 |
| 25 | 238.732 |
| 50 | 477.465 |
| 75 | 716.197 |
| 100 | 954.93 |
| 250 | 2387.32 |
| 500 | 4774.65 |
| 1000 | 9549.3 |
| 5000 | 47746.5 |
| 10000 | 95493 |
Understanding Radians per second
The Radian per second (symbol: rad/s) is a unit of angular velocity. The SI unit of angular velocity; one radian of rotation per second
Radians per second are commonly used in motor specifications, rotating machinery, and mechanical design.
Understanding Revolutions per minute
The Revolutions per minute (symbol: RPM) is a unit of angular velocity. Common rotational speed unit; number of full rotations per minute
Revolutions per minute are commonly used in motor specifications, rotating machinery, and mechanical design.
Why Convert Radians per second to Revolutions per minute?
Converting between Radians per second and Revolutions per minute is a frequent requirement for engineers, scientists, and students working with angular velocity values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angular velocity conversion is essential.
Frequently Asked Questions
How do I convert Radians per second to Revolutions per minute?
To convert Radians per second to Revolutions per minute, multiply by 9.5493. For example, 25 rad/s equals 238.732 RPM.
How many Revolutions per minute are in 1 Radian per second?
There are 9.5493 Revolutions per minute in 1 Radian per second.
How many Radians per second are in 1 Revolutions per minute?
There are 0.10472 Radians per second in 1 Revolutions per minute.
What is the formula for Radian per second to Revolutions per minute conversion?
The formula is: multiply by 9.5493. This means 1 rad/s = 9.5493 RPM.
Is a Radian per second bigger than a Revolutions per minute?
No. One Radian per second is smaller than one Revolutions per minute because 1 rad/s equals 9.5493 RPM, which is greater than 1.