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.
Revolutions/sec (RPS)
Definition: Revolutions per second represents the number of full rotations an object completes in exactly one second.
History/origin: Derived as a higher-frequency version of RPM for scientific and high-speed mechanical applications.
Current use: Used in high-speed machinery like dental drills, centrifuges, and measuring the speed of rotating scientific sensors.
Radian/second (rad/s) to Revolutions/sec (RPS) Conversion Table
| Radian/second (rad/s) [rad_s] | Revolutions/sec (RPS) [rps] |
|---|---|
| 0.01 rad_s | 0.00159155 rps |
| 0.1 rad_s | 0.01591549 rps |
| 1 rad_s | 0.15915494 rps |
| 2 rad_s | 0.31830989 rps |
| 3 rad_s | 0.47746483 rps |
| 5 rad_s | 0.79577472 rps |
| 10 rad_s | 1.59154943 rps |
| 20 rad_s | 3.18309886 rps |
| 50 rad_s | 7.95774715 rps |
| 100 rad_s | 15.9154943 rps |
| 1000 rad_s | 159.15494302 rps |
How to Convert Radian/second (rad/s) to Revolutions/sec (RPS)
1 rad_s = 0.15915494 rps
1 rps = 6.28318531 rad_s
Example: convert 15 rad_s to rps:
15 rad_s = 15 × 0.15915494 rps = 2.38732415 rps
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.
- Revolutions per second is often used in high-speed laboratory centrifuges, which can spin at over 1,000 RPS to separate blood cells or isotopes.