International System of unit (SI) : Angular Speed=Radian per Second
| Radian per Second | Radian per Minute | Radian per Hour | Degree per Second | Degree per Minute | Degree per Hour | Revolution per Second | Revolution per Minute | Revolution per Hour | Arcsecond per Second | Arcminute per Second | Turn per Second | Radians per Minute Squared | Degrees per Minute Squared | Radians per Second Cubed | Degrees per Second Cubed | Gradians per Second | Radians per Hour Squared | Degrees per Hour Squared | Angular Speed Ratio | Circular Velocity | Twists per Second | Rolls per Second | Yaw per Second | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Radian per Second | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
| Radian per Minute | 60 | 1 | 0.017 | 1.047 | 0.017 | 0 | 376.991 | 6.283 | 0.105 | 0 | 0.017 | 0.167 | 0.017 | 0 | 60 | 1.047 | 0.942 | 4.6296e-6 | 8.0802e-8 | 60 | 60 | 60 | 60 | 60 |
| Radian per Hour | 3,600 | 60 | 1 | 62.832 | 1.047 | 0.017 | 2.2619e+4 | 376.991 | 6.283 | 0.017 | 1.047 | 10 | 1 | 0.017 | 3,600 | 62.832 | 56.549 | 0 | 4.8481e-6 | 3,600 | 3,600 | 3,600 | 3,600 | 3,600 |
| Degree per Second | 57.296 | 0.955 | 0.016 | 1 | 0.017 | 0 | 360 | 6 | 0.1 | 0 | 0.017 | 0.159 | 0.016 | 0 | 57.296 | 1 | 0.9 | 4.4210e-6 | 7.7160e-8 | 57.296 | 57.296 | 57.296 | 57.296 | 57.296 |
| Degree per Minute | 3,437.747 | 57.296 | 0.955 | 60 | 1 | 0.017 | 2.1600e+4 | 360 | 6 | 0.017 | 1 | 9.549 | 0.955 | 0.017 | 3,437.747 | 60 | 54 | 0 | 4.6296e-6 | 3,437.747 | 3,437.747 | 3,437.747 | 3,437.747 | 3,437.747 |
| Degree per Hour | 2.0626e+5 | 3,437.747 | 57.296 | 3,600 | 60 | 1 | 1.2960e+6 | 2.1600e+4 | 360 | 1 | 60 | 572.958 | 57.296 | 1 | 2.0626e+5 | 3,600 | 3,240 | 0.016 | 0 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 |
| Revolution per Second | 0.159 | 0.003 | 4.4210e-5 | 0.003 | 4.6296e-5 | 7.7160e-7 | 1 | 0.017 | 0 | 7.7160e-7 | 4.6296e-5 | 0 | 4.4210e-5 | 7.7160e-7 | 0.159 | 0.003 | 0.003 | 1.2280e-8 | 2.1433e-10 | 0.159 | 0.159 | 0.159 | 0.159 | 0.159 |
| Revolution per Minute | 9.549 | 0.159 | 0.003 | 0.167 | 0.003 | 4.6296e-5 | 60 | 1 | 0.017 | 4.6296e-5 | 0.003 | 0.027 | 0.003 | 4.6296e-5 | 9.549 | 0.167 | 0.15 | 7.3683e-7 | 1.2860e-8 | 9.549 | 9.549 | 9.549 | 9.549 | 9.549 |
| Revolution per Hour | 572.958 | 9.549 | 0.159 | 10 | 0.167 | 0.003 | 3,600 | 60 | 1 | 0.003 | 0.167 | 1.592 | 0.159 | 0.003 | 572.958 | 10 | 9 | 4.4210e-5 | 7.7160e-7 | 572.958 | 572.958 | 572.958 | 572.958 | 572.958 |
| Arcsecond per Second | 2.0626e+5 | 3,437.747 | 57.296 | 3,600 | 60 | 1 | 1.2960e+6 | 2.1600e+4 | 360 | 1 | 60 | 572.958 | 57.296 | 1 | 2.0626e+5 | 3,600 | 3,240 | 0.016 | 0 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 |
| Arcminute per Second | 3,437.747 | 57.296 | 0.955 | 60 | 1 | 0.017 | 2.1600e+4 | 360 | 6 | 0.017 | 1 | 9.549 | 0.955 | 0.017 | 3,437.747 | 60 | 54 | 0 | 4.6296e-6 | 3,437.747 | 3,437.747 | 3,437.747 | 3,437.747 | 3,437.747 |
| Turn per Second | 360 | 6 | 0.1 | 6.283 | 0.105 | 0.002 | 2,261.947 | 37.699 | 0.628 | 0.002 | 0.105 | 1 | 0.1 | 0.002 | 360 | 6.283 | 5.655 | 2.7778e-5 | 4.8481e-7 | 360 | 360 | 360 | 360 | 360 |
| Radians per Minute Squared | 3,600 | 60 | 1 | 62.832 | 1.047 | 0.017 | 2.2619e+4 | 376.991 | 6.283 | 0.017 | 1.047 | 10 | 1 | 0.017 | 3,600 | 62.832 | 56.549 | 0 | 4.8481e-6 | 3,600 | 3,600 | 3,600 | 3,600 | 3,600 |
| Degrees per Minute Squared | 2.0626e+5 | 3,437.747 | 57.296 | 3,600 | 60 | 1 | 1.2960e+6 | 2.1600e+4 | 360 | 1 | 60 | 572.958 | 57.296 | 1 | 2.0626e+5 | 3,600 | 3,240 | 0.016 | 0 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 | 2.0626e+5 |
| Radians per Second Cubed | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
| Degrees per Second Cubed | 57.296 | 0.955 | 0.016 | 1 | 0.017 | 0 | 360 | 6 | 0.1 | 0 | 0.017 | 0.159 | 0.016 | 0 | 57.296 | 1 | 0.9 | 4.4210e-6 | 7.7160e-8 | 57.296 | 57.296 | 57.296 | 57.296 | 57.296 |
| Gradians per Second | 63.662 | 1.061 | 0.018 | 1.111 | 0.019 | 0 | 400 | 6.667 | 0.111 | 0 | 0.019 | 0.177 | 0.018 | 0 | 63.662 | 1.111 | 1 | 4.9122e-6 | 8.5734e-8 | 63.662 | 63.662 | 63.662 | 63.662 | 63.662 |
| Radians per Hour Squared | 1.2960e+7 | 2.1600e+5 | 3,600 | 2.2619e+5 | 3,769.911 | 62.832 | 8.1430e+7 | 1.3572e+6 | 2.2619e+4 | 62.832 | 3,769.911 | 3.6000e+4 | 3,600 | 62.832 | 1.2960e+7 | 2.2619e+5 | 2.0358e+5 | 1 | 0.017 | 1.2960e+7 | 1.2960e+7 | 1.2960e+7 | 1.2960e+7 | 1.2960e+7 |
| Degrees per Hour Squared | 7.4255e+8 | 1.2376e+7 | 2.0626e+5 | 1.2960e+7 | 2.1600e+5 | 3,600 | 4.6656e+9 | 7.7760e+7 | 1.2960e+6 | 3,600 | 2.1600e+5 | 2.0626e+6 | 2.0626e+5 | 3,600 | 7.4255e+8 | 1.2960e+7 | 1.1664e+7 | 57.296 | 1 | 7.4255e+8 | 7.4255e+8 | 7.4255e+8 | 7.4255e+8 | 7.4255e+8 |
| Angular Speed Ratio | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
| Circular Velocity | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
| Twists per Second | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
| Rolls per Second | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
| Yaw per Second | 1 | 0.017 | 0 | 0.017 | 0 | 4.8481e-6 | 6.283 | 0.105 | 0.002 | 4.8481e-6 | 0 | 0.003 | 0 | 4.8481e-6 | 1 | 0.017 | 0.016 | 7.7160e-8 | 1.3467e-9 | 1 | 1 | 1 | 1 | 1 |
Angular speed, denoted by the symbol 🌀, is a measure of how quickly an object rotates around a specific point or axis. It is expressed in radians per second (rad/s), but can also be represented in various other units such as degrees per second (°/s), revolutions per minute (rev/min), and more. Understanding angular speed is crucial in fields such as physics, engineering, and robotics, where rotational motion is a key factor.
The standard unit of angular speed is the radian per second (rad/s). This unit is derived from the radian, which is the angle subtended by an arc length equal to the radius of the circle. Other commonly used units include degrees per second and revolutions per minute, allowing for versatile applications across different industries.
The concept of angular speed dates back to ancient civilizations that studied celestial motions. Over the centuries, advancements in mathematics and physics have refined our understanding of rotational dynamics. Today, angular speed is a fundamental concept in mechanics, enabling engineers and scientists to design and analyze rotating systems effectively.
To calculate angular speed, you can use the formula:
[ \text{Angular Speed} = \frac{\text{Angle in Radians}}{\text{Time in Seconds}} ]
For instance, if an object rotates through an angle of 2π radians in 4 seconds, the angular speed would be:
[ \text{Angular Speed} = \frac{2\pi \text{ rad}}{4 \text{ s}} = \frac{\pi}{2} \text{ rad/s} ]
Angular speed can be utilized in various applications, including:
To use the Angular Speed tool effectively:
What is angular speed? Angular speed is the rate at which an object rotates around a point or axis, measured in radians per second.
How do I convert angular speed from radians to degrees? You can use the conversion factor (180/\pi) to convert radians to degrees.
What are the common units for measuring angular speed? Common units include radians per second (rad/s), degrees per second (°/s), and revolutions per minute (rev/min).
How is angular speed used in engineering? Engineers use angular speed to design rotating machinery, ensuring that components operate efficiently and safely.
Can I calculate angular speed using linear speed? Yes, you can calculate angular speed from linear speed using the formula ( \text{Angular Speed} = \frac{\text{Linear Speed}}{\text{Radius}} ).
What is the difference between angular speed and angular velocity? Angular speed is a scalar quantity, while angular velocity is a vector quantity that includes direction.
How does angular speed relate to circular motion? Angular speed describes how fast an object moves along a circular path, influencing its linear speed.
What tools can I use to calculate angular speed? You can use our Angular Speed Converter tool for quick and accurate calculations.
Is angular speed the same as rotational speed? Yes, angular speed and rotational speed are often used interchangeably, though angular speed is more commonly used in scientific contexts.
Where can I find more information on angular speed? For more details, visit our Angular Speed tool page here.
By utilizing the Angular Speed tool, users can easily convert between various units of angular speed, enhancing their understanding of rotational motion and improving their calculations in practical applications. Embrace the power of this tool to streamline your work and achieve accurate results!
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