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How to Convert from Degree/second [°/s] to Radian/second [rad/s]?
Learn how to convert angular velocity measurements from degree/second (°/s) to the SI unit radian/second (rad/s) for use in engineering, robotics, and physics applications.
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Degree/second [°/s] to Radian/second [rad/s] Conversion Table
| Degree/second [°/s] | 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.
| Degree/second [°/s] | Radian/second [rad/s] |
|---|
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What Is This Tool?
This unit converter allows you to translate angular velocity values from degree per second (°/s), which measures rotational speed in degrees, to radian per second (rad/s), the standard SI unit expressing angular displacement per second in radians.
How to Use This Tool?
- Enter the angular velocity value in degree/second (°/s)
- Select degree/second as the input unit and radian/second as the output unit
- Click the convert button to obtain the equivalent value in radian/second (rad/s)
- Use the example conversions to verify and understand the results
Key Features
- Converts angular velocity from degree/second to radian/second using the exact conversion factor
- Browser-based and easy to use without installation
- Supports standard angular velocity units commonly used in engineering and physics
- Provides examples for quick reference of typical conversions
Examples
- Convert 30 °/s to rad/s: 30 × 0.0174532925 = 0.523598775 rad/s
- Convert 90 °/s to rad/s: 90 × 0.0174532925 = 1.570796325 rad/s
Common Use Cases
- Interpreting sensor data from gyroscopes and inertial measurement units reporting rotation rates in degrees per second
- Setting rotational speeds of motors or robotic joints for motion control systems using SI units
- Analyzing aircraft or vehicle attitude rates such as roll, pitch, and yaw in flight dynamics
- Expressing shaft speeds and angular rates in mechanical and electrical engineering calculations
Tips & Best Practices
- Ensure that angular velocity measurements are taken under stable conditions to reduce noise and drift
- Use radians per second for engineering and physics calculations requiring SI units
- Double-check conversions with provided examples to confirm accuracy
- Apply conversions consistently when interfacing between sensors and control systems
Limitations
- Conversion assumes ideal instantaneous measurements; real sensors may introduce noise or drift
- Does not consider vector direction or three-dimensional components of angular velocity
- Only converts angular velocity magnitude without accounting for additional physical parameters
Frequently Asked Questions
- Why convert from degree/second to radian/second?
- Converting to radian/second aligns angular velocity measurements with the SI system, facilitating standard calculations in engineering, physics, and robotics.
- What is the conversion factor between degree/second and radian/second?
- 1 degree/second equals approximately 0.0174532925 radian/second.
- Can this conversion be used for all angular velocity measurements?
- It is suitable for scalar angular velocity values but does not handle vector components or multidimensional directionality.
Key Terminology
- Degree per second (°/s)
- A unit of angular velocity measuring how many degrees an angle changes per second, commonly used in sensors and robotics.
- Radian per second (rad/s)
- The SI unit of angular velocity representing the rate of change of angular displacement in radians each second.
- Angular velocity
- The rate at which an object rotates or revolves, expressed in units of angle per unit time.