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How to Convert from Revolution/second [r/s] to Radian/second [rad/s]?
Learn how to convert angular velocity from revolution per second to radian per second using this easy-to-use online velocity angular unit converter.
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Revolution/second [r/s] to Radian/second [rad/s] Conversion Table
| Revolution/second [r/s] | Radian/second [rad/s] |
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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/second [r/s] | Radian/second [rad/s] |
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What Is This Tool?
This tool converts angular velocity values from revolution per second (r/s), which counts complete rotations per second, to radian per second (rad/s), the SI unit measuring angular displacement rate in radians per second.
How to Use This Tool?
- Enter the angular velocity value in revolution/second (r/s)
- Select the input unit as revolution/second and output unit as radian/second
- Click the convert button to see the equivalent value in radian/second
- Review the result for use in engineering, physics, or control applications
Key Features
- Converts velocity angular units from revolution/second to radian/second
- Uses a precise conversion rate reflecting the relation between revolutions and radians
- Supports applications in physics, engineering, robotics, and scientific research
- Browser-based and user-friendly interface for quick conversions
Examples
- 2 revolution/second equals 12.5663706144 radian/second
- 0.5 revolution/second equals 3.1415926536 radian/second
Common Use Cases
- Specifying shaft speeds of electric motors and servos with per-second resolution
- Describing spin rates of devices like optical discs, flywheels, or turbomachinery during testing
- Reporting rotation frequencies of scientific instruments such as laboratory rotors or pulsars
- Applying angular velocity values in robotics, control systems, and vibration analysis
Tips & Best Practices
- Understand that revolution/second denotes full rotations while radian/second measures continuous angular displacement
- Use precise values of π for accurate conversions
- Apply converted values carefully in calculations requiring standard SI angular velocity units
- Consider the motion uniformity assumption when using this conversion
Limitations
- Revolution/second counts discrete rotations, while radian/second measures continuous angles
- The conversion depends on the exact value of π used
- The conversion assumes uniform circular motion and does not address angular acceleration changes
Frequently Asked Questions
- What does one revolution per second represent?
- It represents one full rotation around an axis per second, measuring how many complete turns occur each second.
- Why convert revolution/second to radian/second?
- Converting to radian/second provides an angular velocity in standard SI units, useful for precise physics and engineering calculations.
- Can this conversion be applied to non-uniform rotations?
- No, this conversion assumes uniform circular motion and does not account for changes in angular acceleration.
Key Terminology
- Revolution/second [r/s]
- A unit of angular speed representing one complete rotation about an axis per second, indicating the number of full revolutions made each second.
- Radian/second [rad/s]
- The SI derived unit for angular velocity measuring the rate of angular displacement in radians per second.