Revolution per Second to Radian per Second Conversion
Convert between Revolution per Second and Radian per Second quickly and accurately.
How to Convert Revolution per Second to Radian per Second
Conversion Formula
Example
Convert 15 r/s to rad/s:
Unit Information
Learn about the velocity - angular units you're converting between
Revolution per Second
r/s
Definition
The revolution per second is a unit of angular velocity representing the number of complete rotations over a one-second period. It is used for measuring high-speed rotational motions in mechanical systems, motors, and industrial equipment.
History/Origin
Revolution per second was established as a unit for measuring high-speed rotational velocities in mechanical engineering and industrial applications. It provides a practical measure for describing very fast rotating equipment in manufacturing and mechanical systems.
Current Use
Revolution per second is used in mechanical engineering for high-speed motor specifications, in automotive industry for high-performance engine speeds, in industrial automation for describing fast equipment performance, and in manufacturing for monitoring high-speed rotational equipment.
Multiplier
6.283
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 Second to Radian per Second Conversion Table
| Revolution per Second [r/s] | Radian per Second [rad/s] |
|---|---|
| 1 r/s | 6.283185 rad/s |
| 10 r/s | 62.831853 rad/s |
| 25 r/s | 157.079633 rad/s |
| 50 r/s | 314.159265 rad/s |
| 100 r/s | 628.318531 rad/s |
| 0 r/s | 0E+0 rad/s |
| -10 r/s | -62.831853 rad/s |
| -40 r/s | -251.327412 rad/s |
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