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/min (RPM)
Definition: Revolutions per minute is a unit of rotational speed, representing the number of full turns completed by an object in one minute.
History/origin: As steam engines and later internal combustion engines were developed, RPM became the most practical way for operators to monitor machine speed.
Current use: The standard unit for vehicle tachometers, computer fans, hard drives, and industrial motors.
Radian/second (rad/s) to Revolutions/min (RPM) Conversion Table
| Radian/second (rad/s) [rad_s] | Revolutions/min (RPM) [rpm] |
|---|---|
| 0.01 rad_s | 0.09549297 rpm |
| 0.1 rad_s | 0.95492966 rpm |
| 1 rad_s | 9.5492966 rpm |
| 2 rad_s | 19.09859319 rpm |
| 3 rad_s | 28.64788979 rpm |
| 5 rad_s | 47.74648298 rpm |
| 10 rad_s | 95.49296596 rpm |
| 20 rad_s | 190.98593193 rpm |
| 50 rad_s | 477.46482982 rpm |
| 100 rad_s | 954.92965964 rpm |
| 1000 rad_s | 9549.29659643 rpm |
How to Convert Radian/second (rad/s) to Revolutions/min (RPM)
1 rad_s = 9.5492966 rpm
1 rpm = 0.10471975 rad_s
Example: convert 15 rad_s to rpm:
15 rad_s = 15 × 9.5492966 rpm = 143.23944895 rpm
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 RPM (Revolutions Per Minute) of a standard hard drive is usually 5,400 or 7,200. In contrast, the high-performance engines in Formula 1 cars can reach up to 15,000 RPM!