1 rad/s = 9.549 rev/min
1 rev/min = 0.105 rad/s
Example:
Convert 15 Radian per Second to Revolution per Minute:
15 rad/s = 143.239 rev/min
| Radian per Second | Revolution per Minute |
|---|---|
| 0.01 rad/s | 0.095 rev/min |
| 0.1 rad/s | 0.955 rev/min |
| 1 rad/s | 9.549 rev/min |
| 2 rad/s | 19.099 rev/min |
| 3 rad/s | 28.648 rev/min |
| 5 rad/s | 47.746 rev/min |
| 10 rad/s | 95.493 rev/min |
| 20 rad/s | 190.986 rev/min |
| 30 rad/s | 286.479 rev/min |
| 40 rad/s | 381.972 rev/min |
| 50 rad/s | 477.465 rev/min |
| 60 rad/s | 572.958 rev/min |
| 70 rad/s | 668.451 rev/min |
| 80 rad/s | 763.944 rev/min |
| 90 rad/s | 859.437 rev/min |
| 100 rad/s | 954.93 rev/min |
| 250 rad/s | 2,387.324 rev/min |
| 500 rad/s | 4,774.648 rev/min |
| 750 rad/s | 7,161.972 rev/min |
| 1000 rad/s | 9,549.297 rev/min |
| 10000 rad/s | 95,492.966 rev/min |
| 100000 rad/s | 954,929.659 rev/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.
Revolution per minute (rev/min) is a unit of angular velocity that measures the number of complete revolutions an object makes around a fixed axis in one minute. This metric is essential in various fields, including engineering, physics, and automotive industries, where understanding rotational speed is crucial for performance and safety.
The standard unit for angular velocity is radians per second, but rev/min is widely used due to its practical application in everyday scenarios. One revolution equals (2\pi) radians, making it easy to convert between these two units.
The concept of measuring rotational speed dates back to the early days of mechanics. As machinery evolved, the need for precise measurements of rotational speed became evident, leading to the adoption of rev/min as a standard unit. Over time, advancements in technology and engineering have refined the tools and methods used to measure and convert this unit accurately.
To illustrate the use of rev/min, consider a wheel that completes 10 revolutions in one minute. The angular velocity can be expressed as: [ \text{Angular Velocity} = 10 , \text{rev/min} ]
If you need to convert this to radians per second: [ 10 , \text{rev/min} \times \frac{2\pi , \text{radians}}{1 , \text{rev}} \times \frac{1 , \text{min}}{60 , \text{seconds}} \approx 1.05 , \text{rad/s} ]
Rev/min is commonly used in various applications, including:
To use the Revolution Per Minute tool effectively:
What is revolution per minute (rev/min)?
How do I convert rev/min to radians per second?
In what industries is rev/min commonly used?
Can I use this tool for other angular velocity units?
What should I do if the calculated value seems incorrect?
For more information and to access the Revolution Per Minute tool, visit Inayam's Angular Speed Converter. This tool is designed to enhance your understanding and application of angular velocity measurements, ultimately improving your efficiency in relevant tasks.
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