radian per second [rad/s] to rotation per minute [rpm] Converter
How to Convert radian per second to rotation per minute
1 rad/s = 9.549296585513721 rpm
1 rpm = 0.10471975511965977 rad/s
Example: convert 10 rad/s to rpm:
10 rad/s = 10 x 9.549296585513721 = 95.49296585513721 rpm
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
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 to rotation per minute Conversion Table
| Units.rad/s.singular [rad/s] | Units.rpm.singular [rpm] |
|---|---|
| 0.01 rad/s | 0.09549296585513721 rpm |
| 0.1 rad/s | 0.954929658551372 rpm |
| 1 rad/s | 9.549296585513721 rpm |
| 10 rad/s | 95.49296585513721 rpm |
| 50 rad/s | 477.46482927568604 rpm |
| 100 rad/s | 954.9296585513721 rpm |
| 1000 rad/s | 9549.29658551372 rpm |
| 10000 rad/s | 95492.96585513721 rpm |