Radian per Second to Revolution per Second Conversion

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

rad/s
r/s

How to Convert Radian per Second to Revolution per Second

Conversion Formula

1 rad/s = 0.159 r/s
1 r/s = 6.283 rad/s

Example

Convert 15 rad/s to r/s:

15 rad/s = 15 × 0.159 r/s = 2.387 r/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

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 to Revolution per Second Conversion Table

Radian per Second [rad/s] Revolution per Second [r/s]
1 rad/s 0.159155 r/s
10 rad/s 1.591549 r/s
25 rad/s 3.978874 r/s
50 rad/s 7.957747 r/s
100 rad/s 15.915494 r/s
0 rad/s 0E+0 r/s
-10 rad/s -1.591549 r/s
-40 rad/s -6.366198 r/s