Angular Velocity Converter
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)
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) to Radian/second (rad/s) Conversion Table
| Revolutions/min (RPM) [rpm] | Radian/second (rad/s) [rad_s] |
|---|---|
| 0.01 rpm | 0.0010472 rad_s |
| 0.1 rpm | 0.01047198 rad_s |
| 1 rpm | 0.10471975 rad_s |
| 2 rpm | 0.20943951 rad_s |
| 3 rpm | 0.31415927 rad_s |
| 5 rpm | 0.52359877 rad_s |
| 10 rpm | 1.04719755 rad_s |
| 20 rpm | 2.0943951 rad_s |
| 50 rpm | 5.23598775 rad_s |
| 100 rpm | 10.4719755 rad_s |
| 1000 rpm | 104.719755 rad_s |
How to Convert Revolutions/min (RPM) to Radian/second (rad/s)
1 rpm = 0.10471975 rad_s
1 rad_s = 9.5492966 rpm
Example: convert 15 rpm to rad_s:
15 rpm = 15 × 0.10471975 rad_s = 1.57079632 rad_s
Did You Know?
- 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!
- 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.