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Conversion Formula for Radian Per Second to Revolution Per Day
The formula of conversion of Radian Per Second to Revolution Per Day is very simple. To convert Radian Per Second to Revolution Per Day, we can use this simple formula:
1 Radian Per Second = 13,750.9870831398 Revolution Per Day
1 Revolution Per Day = 0.0000727221 Radian Per Second
One Radian Per Second is equal to 13,750.9870831398 Revolution Per Day. So, we need to multiply the number of Radian Per Second by 13,750.9870831398 to get the no of Revolution Per Day. This formula helps when we need to change the measurements from Radian Per Second to Revolution Per Day
Radian Per Second to Revolution Per Day Conversion
The conversion of unit Radian Per Second to unit Radian Per Second is very simple. Since, as discussed above, One Radian Per Second is equal to 13,750.9870831398 Revolution Per Day. So, to convert Radian Per Second to Revolution Per Day, we must multiply no of Radian Per Second to 13,750.9870831398. Example:-
| Radian Per Second | Revolution Per Day |
|---|---|
| 0.01 Radian Per Second | 137.5098708314 Revolution Per Day |
| 0.1 Radian Per Second | 1,375.098708314 Revolution Per Day |
| 1 Radian Per Second | 13,750.9870831398 Revolution Per Day |
| 2 Radian Per Second | 27,501.9741662795 Revolution Per Day |
| 3 Radian Per Second | 41,252.9612494193 Revolution Per Day |
| 5 Radian Per Second | 68,754.9354156988 Revolution Per Day |
| 10 Radian Per Second | 137,509.8708313976 Revolution Per Day |
| 20 Radian Per Second | 275,019.7416627952 Revolution Per Day |
| 50 Radian Per Second | 687,549.354156988 Revolution Per Day |
| 100 Radian Per Second | 1,375,098.7083139759 Revolution Per Day |
| 500 Radian Per Second | 6,875,493.5415698793 Revolution Per Day |
| 1,000 Radian Per Second | 13,750,987.0831397586 Revolution Per Day |
Details for Radian per Second (SI Angular Velocity Unit)
Introduction : Radian per second is the SI unit for angular velocity, representing how fast an object rotates or revolves relative to time. One radian per second means the object moves through an angle of one radian every second. It's commonly used in physics, engineering, and mechanics to express rotational motion precisely.
History & Origin : The concept of the radian was introduced in the 18th century as a natural unit of angular measure based on the properties of a circle. With the rise of the SI system in the 20th century, the radian per second became the standard unit of angular velocity in scientific contexts.
Current Use : Radian per second is widely used in mechanical systems like motors, gyroscopes, and turbines. It is essential in physics simulations, robotics, and rotational dynamics calculations. This unit ensures accuracy in measuring angular motion in everything from satellites to electrical machinery.
Details for Revolution per Day (Ultra Slow Angular Velocity)
Introduction : Revolution per day is an extremely slow angular velocity unit, representing one full rotation per 24 hours. It’s well-suited for tracking celestial objects, satellite motion, and other natural processes that change gradually over time.
History & Origin : This unit emerged naturally in astronomy and Earth sciences where daily rotation rates of celestial bodies needed to be quantified. It allowed scientists to describe these slow processes without resorting to fractions of other units like radian per hour or minute.
Current Use : Widely used in astronomy, geology, and satellite tracking, revolution per day allows intuitive modeling of Earth’s rotation, geostationary satellite paths, and star motions. It’s also valuable in planetary modeling and orbital simulations requiring high-precision, long-duration tracking.
Popular Angular Velocity Unit Conversions
Convert Radian Per Second to Other Units
FAQ on Radian Per Second to Revolution Per Day Conversion:
What is the Symbol of Radian Per Second and Revolution Per Day?
The symbol for Radian Per Second is 'rad/s', and for Revolution Per Days, it is 'r/d'. These symbols are used to denote angular velocity in everyday and technical measurements.
How to convert Radian Per Second(s) to Revolution Per Day(es)?
To convert Radian Per Second(s) to Revolution Per Day(es), multiply the number of Radian Per Seconds by 13750.98708314 because one Radian Per Second equals 13750.98708314 Revolution Per Days.
Formula: Revolution Per Days = Radian Per Seconds × 13750.98708314.
This is a standard rule used in angular velocity conversions.
How to convert Revolution Per Day(es) to Radian Per Second(s) ?
To convert Revolution Per Day(es) to Radian Per Second(s), divide the number of Revolution Per Days by 13750.98708314, since, 1 Radian Per Second contains exactly 13750.98708314 Revolution Per Day(es).
Formula: Radian Per Seconds = Revolution Per Day(s) ÷ 13750.98708314.
It’s a common calculation in angular velocity conversions.
How many Radian Per Second(s) are these in an Revolution Per Day(es) ?
There are 7.272205216643E-5 Radian Per Seconds in one Revolution Per Day. This is derived by dividing 1 Revolution Per Day by 13750.98708314, as 1 Radian Per Second equals 13750.98708314 Revolution Per Day(s).
Formula: Radian Per Second = Revolution Per Days ÷ 13750.98708314.
It’s a precise unit conversion method.
How many Revolution Per Day(es) are these in an Radian Per Second(s) ?
There are exactly 13750.98708314 Revolution Per Days in one Radian Per Second. This is a fixed value used in the measurement system.
Formula: Revolution Per Day(s) = Radian Per Seconds × 13750.98708314.
It's one of the most basic conversions.
How many Revolution Per Day in 10 Radian Per Second?
There are 137509.8708314 Revolution Per Days in 10 Radian Per Seconds. This is calculated by multiplying 10 by 13750.98708314.
Formula: 10 Radian Per Seconds × 13750.98708314 = 137509.8708314 Revolution Per Days.
This conversion is helpful for angular velocity measurements.
How many Revolution Per Day(s) in 50 Radian Per Second?
There are 687549.35415699 Revolution Per Days in 50 Radian Per Seconds. One can calculate it by multiplying 50 by 13750.98708314.
Formula: 50 Radian Per Seconds × 13750.98708314 = 687549.35415699 Revolution Per Days.
This conversion is used in many applications.
How many Revolution Per Day(s) in 100 Radian Per Second?
There are 1375098.708314 Revolution Per Day(s) in 100 Radian Per Seconds. Multiply 100 by 13750.98708314 to get the result.
Formula: 100 Radian Per Seconds × 13750.98708314 = 1375098.708314 Revolution Per Day(s).
This is a basic unit conversion formula.