1 rad/s = 206,264.806 °/h
1 °/h = 4.8481e-6 rad/s
Example:
Convert 15 Radian per Second to Degree per Hour:
15 rad/s = 3,093,972.094 °/h
| Radian per Second | Degree per Hour |
|---|---|
| 0.01 rad/s | 2,062.648 °/h |
| 0.1 rad/s | 20,626.481 °/h |
| 1 rad/s | 206,264.806 °/h |
| 2 rad/s | 412,529.612 °/h |
| 3 rad/s | 618,794.419 °/h |
| 5 rad/s | 1,031,324.031 °/h |
| 10 rad/s | 2,062,648.062 °/h |
| 20 rad/s | 4,125,296.125 °/h |
| 30 rad/s | 6,187,944.187 °/h |
| 40 rad/s | 8,250,592.25 °/h |
| 50 rad/s | 10,313,240.312 °/h |
| 60 rad/s | 12,375,888.375 °/h |
| 70 rad/s | 14,438,536.437 °/h |
| 80 rad/s | 16,501,184.5 °/h |
| 90 rad/s | 18,563,832.562 °/h |
| 100 rad/s | 20,626,480.625 °/h |
| 250 rad/s | 51,566,201.562 °/h |
| 500 rad/s | 103,132,403.124 °/h |
| 750 rad/s | 154,698,604.685 °/h |
| 1000 rad/s | 206,264,806.247 °/h |
| 10000 rad/s | 2,062,648,062.471 °/h |
| 100000 rad/s | 20,626,480,624.71 °/h |
The radian per second (rad/s) is a unit of angular speed that measures the angle in radians through which an object rotates in one second. This unit is widely used in physics and engineering to quantify rotational motion, making it essential for applications involving gears, motors, and other rotating systems.
The radian is the standard unit of angular measurement in the International System of Units (SI). One complete revolution corresponds to an angle of (2\pi) radians, which is approximately 6.28318 radians. The radian per second is thus a standardized measure that allows for consistent calculations across various scientific and engineering disciplines.
The concept of angular measurement dates back to ancient civilizations, but the formalization of the radian as a unit occurred in the 18th century. The adoption of the radian per second as a unit of angular speed has facilitated advancements in mechanics, robotics, and various fields of engineering. Its usage has become prevalent in modern technology, particularly in the design and analysis of rotating machinery.
To convert a rotational speed from revolutions per minute (RPM) to radians per second, you can use the following formula:
[ \text{Angular Speed (rad/s)} = \text{RPM} \times \frac{2\pi}{60} ]
For example, if a wheel rotates at 300 RPM, the angular speed in rad/s would be:
[ 300 \times \frac{2\pi}{60} \approx 31.42 \text{ rad/s} ]
The radian per second is commonly used in various applications, including:
To interact with the Radian Per Second tool, simply follow these steps:
What is the conversion from RPM to rad/s?
How do I convert degrees per second to rad/s?
What is the relationship between angular speed and linear speed?
Can I use this tool for engineering applications?
Is there a mobile version of the angular speed converter?
By utilizing the Radian Per Second tool, you can enhance your understanding of angular motion and improve your calculations, ultimately contributing to more efficient designs and analyses in your projects.
The degree per hour (°/h) is a unit of angular speed that measures the angle in degrees that an object rotates in one hour. This unit is essential in various fields, including physics, engineering, and navigation, where understanding the rate of rotation is crucial.
The degree is a standard unit of angular measurement, with a full circle comprising 360 degrees. The degree per hour is widely accepted for measuring angular velocity in various applications, ensuring consistency and clarity in communication across disciplines.
The concept of measuring angles dates back to ancient civilizations, with the Babylonians being among the first to divide the circle into 360 degrees. The degree per hour emerged as a practical unit for expressing angular speed, particularly in the fields of astronomy and navigation, where precise measurements are vital.
To illustrate the use of degrees per hour, consider a scenario where a wheel rotates 180 degrees in 2 hours. The angular speed can be calculated as follows:
[ \text{Angular Speed} = \frac{\text{Total Degrees}}{\text{Total Time in Hours}} = \frac{180°}{2 \text{ hours}} = 90°/h ]
Degrees per hour is commonly used in various applications, including:
To effectively use the degree per hour tool, follow these steps:
The degree per hour is used to measure angular speed, indicating how many degrees an object rotates in one hour.
To convert °/h to radians per second, use the formula: [ \text{Radians/second} = \frac{\text{Degrees/hour} \times \pi}{180 \times 3600} ]
Yes, the degree per hour tool is useful for navigation, as it helps calculate the angular speed of moving vessels or aircraft.
Standardization ensures clear communication and consistency across various fields, making it easier to compare and analyze angular speeds.
You can access the degree per hour calculator and other related tools at Inayam's Angular Speed Converter.
By utilizing the degree per hour tool effectively, you can enhance your understanding of angular speed and apply it in practical scenarios, whether in engineering, navigation, or astronomy.
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