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Angular Speed Unit Converter (RPM - rad/s)

Convert between Rotations Per Minute (RPM) and Radians per Second (rad/s)


How to convert between RPM and rad/s of angular speed

1 RPM is approximately equal to 0.1047 radians per second (rad/s). To convert from RPM to rad/s, multiply the RPM value by 0.1047, and to convert from rad/s to RPM, divide the rad/s value by 0.1047.

Unfamiliar with a term? Check the electric motor glossary.

Angular Speed Conversion Table
Rotations per Minute (RPM) Radians per Second (rad/s)
1000 104.72
1500 157.08
2000 209.44
2500 261.80
3000 314.16
3500 366.52
4000 418.88
4500 471.24
5000 523.60
5500 575.96

Angular Speed Conversion Chart

Rotations per Minute and Radians per Second Definition and Usage

Rotations Per Minute (RPM) and radians per second (rad/s) are both units of angular velocity commonly used in the context of electric motors and other rotary machines. Let's break down how they are used and their significance in the domain of electric motors:

Rotations Per Minute (RPM):
  • Definition: RPM is a unit of angular velocity that represents the number of complete revolutions a shaft or rotor makes in one minute.
  • Symbol: RPM
  • Usage: RPM is a practical and straightforward measure of rotational speed. It is often used in product specifications, user manuals, and general discussions about motor performance. It provides a tangible and easily understandable measure of how fast a motor is rotating. RPM is commonly used in motor specifications visible to end-users, while rad/s is more likely to be used in detailed technical documentation.
Radians Per Second (rad/s):
  • Definition: Radians per second is another unit of angular velocity that represents the rate of change of angular displacement in radians per unit of time.
  • Symbol: rad/s
  • Usage: In more technical and mathematical contexts, especially in engineering calculations and control systems, rad/s is often preferred over RPM. This is because radians are a more natural unit for angular displacement in mathematical formulas. Rad/s is used in equations involving torque, power, and dynamics of rotational motion. Rad/s is often used in control systems and mathematical modeling of motor behavior. It simplifies calculations and allows for consistent application of principles of rotational dynamics.

In summary, both units have their place in the understanding and application of electric motors, depending on the context and level of technical detail involved. While rad/s is often favored in engineering analyses and calculations due to its compatibility with angular displacement in mathematical formulas, Turncircles custom electric motor configurator adopts RPM as it is the practical measure for everyday discussions about motor speed.

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