Degree per Second to Radian per Second Conversion
Convert between Degree per Second and Radian per Second quickly and accurately.
How to Convert Degree per Second to Radian per Second
Conversion Formula
Example
Convert 15 °/s to rad/s:
Unit Information
Learn about the velocity - angular units you're converting between
Degree per Second
°/s
Definition
The degree per second is a unit of angular velocity representing the rate of angular displacement in degrees over a one-second period. It is commonly used for measuring rotational speeds in mechanical systems, motor specifications, and industrial equipment.
History/Origin
Degree per second was established as a practical unit for mechanical engineering applications where rotational speeds are measured in seconds. It provides a convenient scale for describing moderate-speed rotational motion using familiar degree measurements in engineering contexts.
Current Use
Degree per second is widely used in mechanical engineering for motor specifications, in industrial automation for describing equipment speeds, and in manufacturing for monitoring rotational equipment performance in production processes.
Multiplier
0.017
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
Degree per Second to Radian per Second Conversion Table
| Degree per Second [°/s] | Radian per Second [rad/s] |
|---|---|
| 1 °/s | 0.017453 rad/s |
| 10 °/s | 0.174533 rad/s |
| 25 °/s | 0.436332 rad/s |
| 50 °/s | 0.872665 rad/s |
| 100 °/s | 1.745329 rad/s |
| 0 °/s | 0E+0 rad/s |
| -10 °/s | -0.174533 rad/s |
| -40 °/s | -0.698132 rad/s |
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