Radian per Second to Revolution per Day Conversion
Convert between Radian per Second and Revolution per Day quickly and accurately.
How to Convert Radian per Second to Revolution per Day
Conversion Formula
Example
Convert 15 rad/s to r/d:
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 Day
r/d
Definition
The revolution per day is a unit of angular velocity representing the number of complete rotations over a 24-hour period. It is commonly used for measuring very slow rotational motions in astronomical, geological, and mechanical applications.
History/Origin
Revolution per day was developed for measuring extremely slow rotational velocities in astronomical observations and geological studies. It provides a practical unit for describing the Earth's rotation, planetary movements, and other celestial phenomena that occur over extended time periods.
Current Use
Revolution per day is primarily used in astronomy for describing planetary rotation rates, in geology for measuring tectonic plate movements, and in environmental monitoring for tracking slow changes in natural systems over extended periods.
Multiplier
0
Offset
0
Radian per Second to Revolution per Day Conversion Table
| Radian per Second [rad/s] | Revolution per Day [r/d] |
|---|---|
| 1 rad/s | 13750.987083 r/d |
| 10 rad/s | 137509.870831 r/d |
| 25 rad/s | 343774.677078 r/d |
| 50 rad/s | 687549.3541570001 r/d |
| 100 rad/s | 1375098.7083139999 r/d |
| 0 rad/s | 0E+0 r/d |
| -10 rad/s | -137509.870831 r/d |
| -40 rad/s | -550039.483326 r/d |
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