Revolution per Minute to Radian per Second Conversion
Convert between Revolution per Minute and Radian per Second quickly and accurately.
How to Convert Revolution per Minute to Radian per Second
Conversion Formula
Example
Convert 15 r/min to rad/s:
Unit Information
Learn about the velocity - angular units you're converting between
Revolution per Minute
r/min
Definition
The revolution per minute (RPM) is a unit of angular velocity representing the number of complete rotations over a one-minute period. It is the most commonly used unit for measuring rotational speeds in mechanical systems, motors, and industrial equipment.
History/Origin
Revolution per minute was established as the standard unit for measuring rotational speeds in mechanical engineering and industrial applications. It provides a practical and intuitive measure for describing how fast rotating equipment operates in manufacturing and mechanical systems.
Current Use
RPM is widely used in mechanical engineering for motor specifications, in automotive industry for engine speeds, in industrial automation for describing equipment performance, and in manufacturing for monitoring rotational equipment performance in production processes.
Multiplier
0.105
Offset
0
Radian per Second
rad/s
Definition
The radian per second is the SI unit of angular velocity, representing the rate of change of angular displacement. It measures how fast an object rotates around a fixed axis, with one radian per second equal to approximately 57.3 degrees per second.
History/Origin
The radian per second was established as the SI base unit for angular velocity in the International System of Units. The radian itself was defined as the angle subtended by an arc equal in length to the radius, providing a natural unit for angular measurements in mathematical and physical applications.
Current Use
Radian per second is widely used in physics, engineering, and mathematics for describing rotational motion. It is essential in mechanical engineering for motor specifications, in physics for describing planetary motion, and in computer graphics for animation and 3D modeling applications.
Multiplier
1
Offset
0
Revolution per Minute to Radian per Second Conversion Table
| Revolution per Minute [r/min] | Radian per Second [rad/s] |
|---|---|
| 1 r/min | 0.10472 rad/s |
| 10 r/min | 1.047198 rad/s |
| 25 r/min | 2.617994 rad/s |
| 50 r/min | 5.235988 rad/s |
| 100 r/min | 10.471976 rad/s |
| 0 r/min | 0E+0 rad/s |
| -10 r/min | -1.047198 rad/s |
| -40 r/min | -4.18879 rad/s |
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