Angular Velocity Converter
Radian/second (rad/s)
Definition: The radian per second is the SI unit of angular velocity. It measures the change in the orientation of an object in radians every second.
History/origin: The concept of the radian was developed to simplify calculus and trigonometric calculations in physics, as it relates the arc length of a circle to its radius.
Current use: This is the primary unit used in physics, robotics, and advanced mechanical engineering to calculate rotational energy and torque.
Degree/second (°/s)
Definition: Degrees per second measures the angular speed of an object in terms of the number of degrees of a full circle it covers every second.
History/origin: Based on the ancient Babylonian system of dividing a circle into 360 degrees, this unit is highly intuitive for navigation and geometry.
Current use: Commonly used in describing the movement of camera gimbals, telescope tracking, and consumer drone sensors.
Radian/second (rad/s) to Degree/second (°/s) Conversion Table
| Radian/second (rad/s) [rad_s] | Degree/second (°/s) [deg_s] |
|---|---|
| 0.01 rad_s | 0.5729578 deg_s |
| 0.1 rad_s | 5.72957796 deg_s |
| 1 rad_s | 57.29577958 deg_s |
| 2 rad_s | 114.59155916 deg_s |
| 3 rad_s | 171.88733874 deg_s |
| 5 rad_s | 286.47889789 deg_s |
| 10 rad_s | 572.95779579 deg_s |
| 20 rad_s | 1145.91559157 deg_s |
| 50 rad_s | 2864.78897893 deg_s |
| 100 rad_s | 5729.57795786 deg_s |
| 1000 rad_s | 57295.77957855 deg_s |
How to Convert Radian/second (rad/s) to Degree/second (°/s)
1 rad_s = 57.29577958 deg_s
1 deg_s = 0.01745329 rad_s
Example: convert 15 rad_s to deg_s:
15 rad_s = 15 × 57.29577958 deg_s = 859.43669368 deg_s
Did You Know?
- Did you know? Radians per second is the absolute standard in physics because it links the speed of rotation directly to the radius of the circle without using arbitrary numbers like 360 degrees.
- The Earth rotates at a very slow angular velocity of about 0.0041 degrees per second. Even though it feels still, we are spinning at over 1,000 miles per hour at the equator!