Revolution/minute to Radian/second Conversion Guide (rpm to rad/s)
Performing a conversion from Revolution/minute to Radian/second requires an understanding of the relationship between their respective frequency magnitudes. This guide provides the exact computation parameters needed to transition from rpm to rad/s without losing data integrity.
Conversion Table
| Revolution/minute (rpm) | Radian/second (rad/s) |
|---|---|
| 0.001 | 0.00010472 |
| 0.01 | 0.0010472 |
| 0.1 | 0.010472 |
| 1 | 0.10472 |
| 5 | 0.5236 |
| 10 | 1.0472 |
| 50 | 5.236 |
| 100 | 10.472 |
| 500 | 52.36 |
| 1000 | 104.72 |
Formula
To execute this calculation, the value in Revolution/minute is first normalized to the base Frequency unit (Hertz) before being scaled to Radian/second. The direct multiplier for Revolution/minute to Radian/second is determined by the ratio of their scientific definitions.
Examples
For instance, 1 rpm is strictly defined as roughly 0.1047199271150765 rad/s. If you are dealing with a larger scale, such as 50 rpm, the resulting rad/s value maintains this exact linear proportionality.
Reverse Formula
The inverse conversion (Radian/second back to Revolution/minute) is equally valid and uses the reciprocal of the primary ratio. Our interface allows you to toggle this direction instantly to verify both sides of the Frequency equation.
Common Mistakes
The most frequent error in rpm to rad/s calculations is the misapplication of unit prefixes (like centi- or milli-). Additionally, confusing Revolution/minute with similar units in different systems (like US vs. Imperial) can lead to significant discrepancies.
Accuracy Notes
At FastConverto, we use a 64-bit floating-point engine. For the Revolution/minute to Radian/second transition, this means your results are processed with enough precision to satisfy even rigorous laboratory requirements, though most users will find 2-4 decimal places sufficient for practical use.
Industry Use
This specific conversion is a staple in Frequency-heavy industries. Whether it's Revolution/minute being used in raw material procurement or Radian/second being required for final product labeling, accurate data flow is essential for project interoperability.
Frequently Asked Questions
What is the exact ratio of Revolution/minute to Radian/second?
One Revolution/minute is equal to 0.1047199271150765 Radian/second.
Does the conversion factor ever change?
No. These definitions are fixed by international measurement treaties and standard bodies.
How many decimals should I use?
For standard tasks, 2 decimals are common. For scientific work, we recommend keeping all significant figures provided by our calculator.