Revolution per Square Second to Radian per Square Second Conversion
Convert between Revolution per Square Second and Radian per Square Second quickly and accurately.
How to Convert Revolution per Square Second to Radian per Square Second
Conversion Formula
Example
Convert 15 rev/s² to rad/s²:
Unit Information
Learn about the acceleration - angular units you're converting between
Revolution per Square Second
rev/s²
Definition
The revolution per square second (rev/s²) is a unit of angular acceleration, representing the rate of change of angular velocity per unit time in complete revolutions. It is equal to 2π radians per square second.
History/Origin
Derived from the revolution, a complete 360-degree rotation, and the second. It is commonly used in mechanical engineering and rotational systems where complete revolutions are more intuitive than radians.
Current Use
Widely used in mechanical engineering, motor design, and rotational systems for measuring angular acceleration in complete revolutions, particularly in motor and gear applications.
Multiplier
6.283
Offset
0
Radian per Square Second
rad/s²
Definition
The radian per square second (rad/s²) is the SI base unit of angular acceleration, representing the rate of change of angular velocity per unit time. It measures how quickly an object's angular velocity changes over time.
History/Origin
Derived from the radian, the SI unit of plane angle, and the second, the SI unit of time. It became the standard unit for angular acceleration in the International System of Units and is fundamental in rotational mechanics and engineering.
Current Use
Widely used in physics, engineering, and mechanics to specify angular acceleration in scientific calculations, rotational motion analysis, and mechanical engineering applications.
Multiplier
1
Offset
0
Revolution per Square Second to Radian per Square Second Conversion Table
| Revolution per Square Second [rev/s²] | Radian per Square Second [rad/s²] |
|---|---|
| 1 rev/s² | 6.283185 rad/s² |
| 10 rev/s² | 62.831853 rad/s² |
| 25 rev/s² | 157.079633 rad/s² |
| 50 rev/s² | 314.159265 rad/s² |
| 100 rev/s² | 628.318531 rad/s² |
| 0 rev/s² | 0E+0 rad/s² |
| -10 rev/s² | -62.831853 rad/s² |
| -40 rev/s² | -251.327412 rad/s² |
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