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How to Convert from Radian/second [rad/s] to Degree/hour [°/h]?
Learn how to convert angular velocity from radian per second (rad/s) to degree per hour (°/h) with clear examples, key features, and common use cases in engineering and astronomy.
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Radian/second [rad/s] to Degree/hour [°/h] Conversion Table
| Radian/second [rad/s] | Degree/hour [°/h] |
|---|
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.
| Radian/second [rad/s] | Degree/hour [°/h] |
|---|
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What Is This Tool?
This converter allows you to transform angular velocity values from radians per second (rad/s), a standard SI unit for high-speed rotation, into degrees per hour (°/h), which is suitable for describing slow angular changes over extended time periods.
How to Use This Tool?
- Enter the value of angular velocity in radian/second you want to convert.
- Select radian/second as the input unit and degree/hour as the output unit.
- Calculate the result using the tool or the provided formula.
- Review the converted value expressed in degrees per hour.
Key Features
- Converts angular velocity from radian/second to degree/hour accurately using a defined conversion rate.
- Supports applications in mechanical engineering, robotics, astronomy, and aerospace for various rotational speed measurements.
- Provides easy-to-understand formula and example calculations for quick reference.
- Browser-based tool requiring no installations and accessible anytime.
Examples
- Convert 0.5 rad/s to degree/hour: 0.5 × 206264.8062471 = 103132.40312355 °/h.
- Convert 2 rad/s to degree/hour: 2 × 206264.8062471 = 412529.6124942 °/h.
Common Use Cases
- Describing motor shaft rotational speed and calculating torque in engineering.
- Defining joint angular rates in robotics and servo motion control.
- Tracking slow planetary or Earth's rotation rates in astronomy.
- Quantifying low-rate attitude drift in spacecraft and inertial navigation systems.
Tips & Best Practices
- Use this conversion primarily when analyzing slow angular velocities or drift over time.
- Interpret large numeric results carefully due to different time scales and unit sizes.
- Consult domain-specific requirements when applying converted values in engineering or astronomical contexts.
Limitations
- Converting high-speed rad/s values to degree/hour can produce very large numbers needing cautious interpretation.
- The conversion fits better for slow angular changes rather than rapid rotational motions.
- This tool does not provide error margins or precision details for conversion.
Frequently Asked Questions
- Why convert radian/second to degree/hour?
- Converting rad/s to °/h is useful to describe slow rotational changes over long periods, such as planetary rotations or spacecraft attitude drift.
- What is the conversion factor from radian/second to degree/hour?
- 1 radian/second equals 206264.8062471 degree/hour.
- Can this converter be used for high-speed rotations?
- While possible, results for rapid motions may yield large values that require careful interpretation; it's best suited for slow angular velocities.
Key Terminology
- Radian/second [rad/s]
- SI derived unit for angular velocity indicating angle in radians swept per second, used in engineering and physics.
- Degree/hour [°/h]
- Unit of angular velocity expressing degrees of change per hour, useful for slow rotational or drift rates.
- Angular Velocity
- The rate at which an object rotates or changes its angular position over time.