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How to Convert from Revolution/minute [r/min] to Radian/second [rad/s]?
Learn how to convert rotational speed from revolution per minute (r/min) to radian per second (rad/s) using this online unit converter tool. Understand the applications and benefits of this conversion in engineering and physics.
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Revolution/minute [r/min] to Radian/second [rad/s] Conversion Table
| Revolution/minute [r/min] | Radian/second [rad/s] |
|---|
Custom Unit Conversion Table Generator – Instant Printable Conversion Tables
Enter the starting number (positive decimal or integer ≥ 0). Example: 0.1, 1, 5.
Enter the ending number (positive decimal or integer > Start Value). Example: 10, 50, 100.
Enter the step size (positive decimal > 0 and < End Value – Start Value). Example: 1.0, 2.5.
| Revolution/minute [r/min] | Radian/second [rad/s] |
|---|
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What Is This Tool?
This converter transforms values from revolution per minute (r/min), a unit measuring the number of complete turns per minute, into radian per second (rad/s), the SI unit for angular velocity representing angular displacement per second. It is widely used for precise calculations in engineering, physics, and control systems.
How to Use This Tool?
- Enter the value in revolution per minute (r/min) you want to convert.
- Select the target unit as radian per second (rad/s).
- Click the convert button to obtain the equivalent angle velocity in rad/s.
- Review the result and use it for your engineering or physics calculations.
Key Features
- Converts rotational speed between revolution/minute and radian/second units.
- Provides easy-to-understand conversion using a fixed conversion rate.
- Supports applications in automotive, robotics, and mechanical engineering.
- Browser-based tool requiring no installation or specialized software.
- Includes example calculations for clarity.
Examples
- 10 r/min equals 1.047197551 rad/s calculated by multiplying by 0.1047197551.
- 60 r/min equals 6.283185306 rad/s following the same conversion factor.
Common Use Cases
- Measuring engine and drivetrain speeds during automotive diagnostics and tuning.
- Controlling electric motors, fans, and pumps in industrial systems.
- Monitoring laboratory centrifuge speeds and machining spindle rates for process control.
- Calculating torque and angular acceleration in engineering applications.
- Analyzing rotational rates in robotics and vibration analysis.
Tips & Best Practices
- Ensure the angular velocity is steady when using this conversion for precise results.
- Maintain sufficient decimal accuracy to reduce rounding errors.
- Use this conversion mainly for uniform rotational motion where revolutions per time relate directly to angular displacement.
- Apply the converted radian per second values for further physics or control system modeling.
Limitations
- Assumes constant angular velocity, not accounting for changing rotational speeds.
- Precision can be affected by rounding decimal values.
- Not suitable for non-uniform or irregular rotational motion where revolutions do not correspond directly to angular displacement.
Frequently Asked Questions
- What does revolution per minute (r/min) measure?
- Revolution per minute (r/min) counts how many full turns an object completes around an axis each minute.
- Why convert r/min to radian per second (rad/s)?
- Converting to rad/s allows expressing angular velocity in the SI unit system, which is essential for precise engineering and physics calculations.
- Can this converter be used for non-constant rotational speeds?
- No, it assumes constant angular velocity and does not account for transient or varying rotational speeds.
Key Terminology
- Revolution per minute (r/min)
- A unit measuring how many complete turns an object makes about an axis each minute.
- Radian per second (rad/s)
- The SI unit of angular velocity defining the rate of angular displacement in radians per second.
- Angular velocity
- The rate at which an object rotates or revolves relative to time.