rotation per minute [rpm] to radian per second [rad/s] Converter
How to Convert rotation per minute to radian per second
1 rpm = 0.10471975511965977 rad/s
1 rad/s = 9.549296585513721 rpm
Example: convert 10 rpm to rad/s:
10 rpm = 10 x 0.10471975511965977 = 1.0471975511965976 rad/s
rotation per minute
Definition: Rotations per minute (rpm) is a unit of angular speed or rotational frequency. It specifies the number of complete rotations or revolutions completed in one minute.
History/origin: The concept of measuring rotational speed has been around for centuries, particularly in mechanical engineering. The specific term 'rotations per minute' became standardized with the development of machinery and engines.
Current use: RPM is commonly used to measure the speed of rotating machinery, such as engines, motors, turbines, and spinning disks (e.g., hard drives). It is a vital parameter in mechanical engineering, automotive engineering, and various industrial applications for controlling and monitoring rotational speeds.
radian per second
Definition: Radians per second (rad/s) is the SI unit of angular speed or angular velocity. It represents the rate of change of an angle in radians over time, specifically the number of radians rotated in one second.
History/origin: The radian as a unit of angle measurement is fundamental in mathematics and physics. Defining angular speed in radians per second is essential for consistency with other SI units and simplifies many equations in rotational dynamics.
Current use: Radians per second is widely used in physics, engineering, and mathematics for describing rotational motion. It's essential in calculations involving torque, angular momentum, and rotational kinetic energy. It appears in fields such as mechanics, electrical engineering (e.g., analyzing AC circuits), and signal processing (e.g., representing signal frequencies).
rotation per minute to radian per second Conversion Table
| Units.rpm.singular [rpm] | Units.rad/s.singular [rad/s] |
|---|---|
| 0.01 rpm | 0.0010471975511965976 rad/s |
| 0.1 rpm | 0.010471975511965978 rad/s |
| 1 rpm | 0.10471975511965977 rad/s |
| 10 rpm | 1.0471975511965976 rad/s |
| 50 rpm | 5.235987755982989 rad/s |
| 100 rpm | 10.471975511965978 rad/s |
| 1000 rpm | 104.71975511965978 rad/s |
| 10000 rpm | 1047.1975511965977 rad/s |