Radian per Second to Degree per Second Conversion

Convert between Radian per Second and Degree per Second quickly and accurately.

rad/s
°/s

How to Convert Radian per Second to Degree per Second

Conversion Formula

1 rad/s = 57.296 °/s
1 °/s = 0.017 rad/s

Example

Convert 15 rad/s to °/s:

15 rad/s = 15 × 57.296 °/s = 859.437 °/s

Unit Information

Learn about the velocity - angular units you're converting between

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

°/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 to Degree per Second Conversion Table

Radian per Second [rad/s] Degree per Second [°/s]
1 rad/s 57.29578 °/s
10 rad/s 572.957795 °/s
25 rad/s 1432.394488 °/s
50 rad/s 2864.788976 °/s
100 rad/s 5729.577951 °/s
0 rad/s 0E+0 °/s
-10 rad/s -572.957795 °/s
-40 rad/s -2291.831181 °/s