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Table of Contents
Conversion Formula for Revolution Per Second to Radian Per Second
The formula of conversion of Revolution Per Second to Radian Per Second is very simple. To convert Revolution Per Second to Radian Per Second, we can use this simple formula:
1 Revolution Per Second = 6.2831853072 Radian Per Second
1 Radian Per Second = 0.1591549431 Revolution Per Second
One Revolution Per Second is equal to 6.2831853072 Radian Per Second. So, we need to multiply the number of Revolution Per Second by 6.2831853072 to get the no of Radian Per Second. This formula helps when we need to change the measurements from Revolution Per Second to Radian Per Second
Revolution Per Second to Radian Per Second Conversion
The conversion of unit Revolution Per Second to unit Revolution Per Second is very simple. Since, as discussed above, One Revolution Per Second is equal to 6.2831853072 Radian Per Second. So, to convert Revolution Per Second to Radian Per Second, we must multiply no of Revolution Per Second to 6.2831853072. Example:-
| Revolution Per Second | Radian Per Second |
|---|---|
| 0.01 Revolution Per Second | 0.0628318531 Radian Per Second |
| 0.1 Revolution Per Second | 0.6283185307 Radian Per Second |
| 1 Revolution Per Second | 6.2831853072 Radian Per Second |
| 2 Revolution Per Second | 12.5663706144 Radian Per Second |
| 3 Revolution Per Second | 18.8495559215 Radian Per Second |
| 5 Revolution Per Second | 31.4159265359 Radian Per Second |
| 10 Revolution Per Second | 62.8318530718 Radian Per Second |
| 20 Revolution Per Second | 125.6637061436 Radian Per Second |
| 50 Revolution Per Second | 314.159265359 Radian Per Second |
| 100 Revolution Per Second | 628.318530718 Radian Per Second |
| 500 Revolution Per Second | 3,141.5926535898 Radian Per Second |
| 1,000 Revolution Per Second | 6,283.1853071796 Radian Per Second |
Details for Revolution per Second (Rapid Angular Velocity)
Introduction : Revolution per second measures how many full rotations an object completes every second. It’s a non-SI unit but very intuitive, especially for high-speed mechanical or rotational systems. This unit is commonly used where complete rotations are more meaningful than radians or degrees, such as in turbines or spinning tools.
History & Origin : Historically tied to mechanical and industrial engineering, revolution per second emerged as a practical unit before SI adoption. It offered a natural way to express rotary speed in revolutions rather than angular degrees or radians, especially before standardized scientific conventions became prevalent.
Current Use : Commonly used in describing rotational speeds of fans, rotors, hard disks, and turbines. Revolution per second is often preferred when full rotations per second matter more than angular precision, such as in dynamic balancing systems and some performance-based motor specifications.
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.
Popular Angular Velocity Unit Conversions
Convert Revolution Per Second to Other Units
FAQ on Revolution Per Second to Radian Per Second Conversion:
What is the Symbol of Revolution Per Second and Radian Per Second?
The symbol for Revolution Per Second is 'r/s', and for Radian Per Seconds, it is 'rad/s'. These symbols are used to denote angular velocity in everyday and technical measurements.
How to convert Revolution Per Second(s) to Radian Per Second(es)?
To convert Revolution Per Second(s) to Radian Per Second(es), multiply the number of Revolution Per Seconds by 6.2831853071796 because one Revolution Per Second equals 6.2831853071796 Radian Per Seconds.
Formula: Radian Per Seconds = Revolution Per Seconds × 6.2831853071796.
This is a standard rule used in angular velocity conversions.
How to convert Radian Per Second(es) to Revolution Per Second(s) ?
To convert Radian Per Second(es) to Revolution Per Second(s), divide the number of Radian Per Seconds by 6.2831853071796, since, 1 Revolution Per Second contains exactly 6.2831853071796 Radian Per Second(es).
Formula: Revolution Per Seconds = Radian Per Second(s) ÷ 6.2831853071796.
It’s a common calculation in angular velocity conversions.
How many Revolution Per Second(s) are these in an Radian Per Second(es) ?
There are 0.1591549430919 Revolution Per Seconds in one Radian Per Second. This is derived by dividing 1 Radian Per Second by 6.2831853071796, as 1 Revolution Per Second equals 6.2831853071796 Radian Per Second(s).
Formula: Revolution Per Second = Radian Per Seconds ÷ 6.2831853071796.
It’s a precise unit conversion method.
How many Radian Per Second(es) are these in an Revolution Per Second(s) ?
There are exactly 6.2831853071796 Radian Per Seconds in one Revolution Per Second. This is a fixed value used in the measurement system.
Formula: Radian Per Second(s) = Revolution Per Seconds × 6.2831853071796.
It's one of the most basic conversions.
How many Radian Per Second in 10 Revolution Per Second?
There are 62.831853071796 Radian Per Seconds in 10 Revolution Per Seconds. This is calculated by multiplying 10 by 6.2831853071796.
Formula: 10 Revolution Per Seconds × 6.2831853071796 = 62.831853071796 Radian Per Seconds.
This conversion is helpful for angular velocity measurements.
How many Radian Per Second(s) in 50 Revolution Per Second?
There are 314.15926535898 Radian Per Seconds in 50 Revolution Per Seconds. One can calculate it by multiplying 50 by 6.2831853071796.
Formula: 50 Revolution Per Seconds × 6.2831853071796 = 314.15926535898 Radian Per Seconds.
This conversion is used in many applications.
How many Radian Per Second(s) in 100 Revolution Per Second?
There are 628.31853071796 Radian Per Second(s) in 100 Revolution Per Seconds. Multiply 100 by 6.2831853071796 to get the result.
Formula: 100 Revolution Per Seconds × 6.2831853071796 = 628.31853071796 Radian Per Second(s).
This is a basic unit conversion formula.