Convert Revolutions per minute to Radians per second
Instantly convert Revolutions per minute (RPM) to Radians per second (rad/s) with our free online calculator.
Formula: RPM to rad/s — multiply by 0.10472
Reference Table
| Revolutions per minute (RPM) | Radians per second (rad/s) |
|---|---|
| 1 | 0.10472 |
| 5 | 0.523599 |
| 10 | 1.0472 |
| 25 | 2.61799 |
| 50 | 5.23599 |
| 100 | 10.472 |
How to Convert Revolutions per minute to Radians per second
Formula
To convert Revolutions per minute (RPM) to Radians per second (rad/s): multiply by 0.10472
Step-by-Step
- Start with your value in Revolutions per minute (RPM).
- Multiply by 0.10472 to perform the conversion.
- The result is your value expressed in Radians per second (rad/s).
Conversion Factor
1 RPM = 0.10472 rad/s
Reverse Factor
1 rad/s = 9.5493 RPM
Worked Example
Convert 25 Revolutions per minute to Radians per second: 25 RPM = 2.61799 rad/s
About Revolutions per minute (RPM)
Common rotational speed unit; number of full rotations per minute
About Radian per second (rad/s)
The SI unit of angular velocity; one radian of rotation per second
Quick Facts
- 1 Revolutions per minute equals 0.10472 Radians per second
- 1 Radian per second equals 9.5493 Revolutions per minute
- Revolutions per minute is a unit of angular velocity
- Radian per second is a unit of angular velocity
- This conversion is commonly used in motor specifications, rotating machinery, and mechanical design
Common Revolutions per minute to Radian per second Conversions
| Revolutions per minute (RPM) | Radians per second (rad/s) |
|---|---|
| 0.01 | 0.0010472 |
| 0.1 | 0.010472 |
| 0.25 | 0.0261799 |
| 0.5 | 0.0523599 |
| 1 | 0.10472 |
| 2 | 0.20944 |
| 3 | 0.314159 |
| 5 | 0.523599 |
| 10 | 1.0472 |
| 15 | 1.5708 |
| 20 | 2.0944 |
| 25 | 2.61799 |
| 50 | 5.23599 |
| 75 | 7.85398 |
| 100 | 10.472 |
| 250 | 26.1799 |
| 500 | 52.3599 |
| 1000 | 104.72 |
| 5000 | 523.599 |
| 10000 | 1047.2 |
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.
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.
Why Convert Revolutions per minute to Radians per second?
Converting between Revolutions per minute and Radians per second 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 Revolutions per minute to Radians per second?
To convert Revolutions per minute to Radians per second, multiply by 0.10472. For example, 25 RPM equals 2.61799 rad/s.
How many Radians per second are in 1 Revolutions per minute?
There are 0.10472 Radians per second in 1 Revolutions per minute.
How many Revolutions per minute are in 1 Radian per second?
There are 9.5493 Revolutions per minute in 1 Radian per second.
What is the formula for Revolutions per minute to Radian per second conversion?
The formula is: multiply by 0.10472. This means 1 RPM = 0.10472 rad/s.
Is a Revolutions per minute bigger than a Radian per second?
Yes. One Revolutions per minute is larger than one Radian per second because 1 RPM equals 0.10472 rad/s, which is less than 1.