1 rad/s = 3,437.747 °/min
1 °/min = 0 rad/s
Example:
Convert 15 Radian per Second to Degree per Minute:
15 rad/s = 51,566.202 °/min
| Radian per Second | Degree per Minute |
|---|---|
| 0.01 rad/s | 34.377 °/min |
| 0.1 rad/s | 343.775 °/min |
| 1 rad/s | 3,437.747 °/min |
| 2 rad/s | 6,875.494 °/min |
| 3 rad/s | 10,313.24 °/min |
| 5 rad/s | 17,188.734 °/min |
| 10 rad/s | 34,377.468 °/min |
| 20 rad/s | 68,754.935 °/min |
| 30 rad/s | 103,132.403 °/min |
| 40 rad/s | 137,509.871 °/min |
| 50 rad/s | 171,887.339 °/min |
| 60 rad/s | 206,264.806 °/min |
| 70 rad/s | 240,642.274 °/min |
| 80 rad/s | 275,019.742 °/min |
| 90 rad/s | 309,397.209 °/min |
| 100 rad/s | 343,774.677 °/min |
| 250 rad/s | 859,436.693 °/min |
| 500 rad/s | 1,718,873.385 °/min |
| 750 rad/s | 2,578,310.078 °/min |
| 1000 rad/s | 3,437,746.771 °/min |
| 10000 rad/s | 34,377,467.708 °/min |
| 100000 rad/s | 343,774,677.078 °/min |
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.
Degree per minute (°/min) is a unit of angular speed that measures the angle in degrees traversed in one minute. It is commonly used in various fields such as physics, engineering, and navigation, where understanding rotational motion is essential.
The degree is a standard unit of angular measurement, with a full rotation equating to 360 degrees. The minute, in this context, refers to a time period of 60 seconds. Thus, degree per minute provides a clear and standardized way to express how quickly an object is rotating.
The concept of measuring angles dates back to ancient civilizations, where the degree was used to divide circles. The minute as a time measurement evolved from the division of hours into smaller parts. Over time, the combination of these units into degree per minute has become essential for various applications, including astronomy and engineering.
To illustrate the use of degree per minute, consider a wheel that completes one full rotation (360 degrees) in 2 minutes. The angular speed can be calculated as follows:
Degree per minute is particularly useful in fields such as:
To utilize the Degree per Minute tool effectively, follow these steps:
What is degree per minute (°/min)?
How do I convert degrees per minute to radians per second?
What is the significance of measuring angular speed?
Can I convert degree per minute to other angular speed units?
How accurate is the degree per minute converter?
By utilizing the Degree per Minute tool, you can enhance your understanding of angular motion and improve your calculations in various applications. For more information and to access the tool, visit Degree per Minute Converter.
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