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Table of Contents
Conversion Formula for Revolutions Per Minute to Radians Per Second
The formula of conversion of Revolutions Per Minute to Radians Per Second is very simple. To convert Revolutions Per Minute to Radians Per Second, we can use this simple formula:
1 Revolutions Per Minute = 0.1047197551 Radians Per Second
1 Radians Per Second = 9.5492965855 Revolutions Per Minute
One Revolutions Per Minute is equal to 0.1047197551 Radians Per Second. So, we need to multiply the number of Revolutions Per Minute by 0.1047197551 to get the no of Radians Per Second. This formula helps when we need to change the measurements from Revolutions Per Minute to Radians Per Second
Revolutions Per Minute to Radians Per Second Conversion
The conversion of unit Revolutions Per Minute to unit Revolutions Per Minute is very simple. Since, as discussed above, One Revolutions Per Minute is equal to 0.1047197551 Radians Per Second. So, to convert Revolutions Per Minute to Radians Per Second, we must multiply no of Revolutions Per Minute to 0.1047197551. Example:-
| Revolutions Per Minute | Radians Per Second |
|---|---|
| 0.01 Revolutions Per Minute | 0.0010471976 Radians Per Second |
| 0.1 Revolutions Per Minute | 0.0104719755 Radians Per Second |
| 1 Revolutions Per Minute | 0.1047197551 Radians Per Second |
| 2 Revolutions Per Minute | 0.2094395102 Radians Per Second |
| 3 Revolutions Per Minute | 0.3141592654 Radians Per Second |
| 5 Revolutions Per Minute | 0.5235987756 Radians Per Second |
| 10 Revolutions Per Minute | 1.0471975512 Radians Per Second |
| 20 Revolutions Per Minute | 2.0943951024 Radians Per Second |
| 50 Revolutions Per Minute | 5.235987756 Radians Per Second |
| 100 Revolutions Per Minute | 10.471975512 Radians Per Second |
| 500 Revolutions Per Minute | 52.3598775598 Radians Per Second |
| 1,000 Revolutions Per Minute | 104.7197551197 Radians Per Second |
Details for Revolutions per Minute (Rotational Speed)
Introduction : Measures how many complete rotations occur in one minute. Crucial for engines, hard drives, and industrial machinery where rotational speed matters more than absolute frequency.
History & Origin : Originated during the Industrial Revolution to quantify steam engine performance. Standardized as 1 rpm = 1/60 Hz in the 20th century.
Current Use : Essential for automotive tachometers (e.g., 3000 rpm at highway speeds), vinyl records (33⅓ rpm), and centrifuge specifications in laboratories.
Details for Radians per Second (Angular Frequency)
Introduction : Measures angular velocity in radians rather than full rotations. Fundamental in physics for describing circular motion without dependence on arbitrary cycle counts.
History & Origin : Rooted in 18th-century rotational dynamics. Gained prominence with SI unit standardization as the preferred angular measure over degrees.
Current Use : Critical for AC circuit analysis (e.g., 377 rad/s for 60 Hz power), robotics joint control, and calculating centripetal force (ω²r). 1 rad/s ≈ 9.549 rpm.
Popular Frequency and Wavelength Unit Conversions
| Hertz to Hertz | Hertz to Hertz |
| Kilohertz to Megahertz | Megahertz to Kilohertz |
| Megahertz to Gigahertz | Gigahertz to Megahertz |
Convert Revolutions Per Minute to Other Units
FAQ on Revolutions Per Minute to Radians Per Second Conversion:
What is the Symbol of Revolutions Per Minute and Radians Per Second?
The symbol for Revolutions Per Minute is 'rpm', and for Radians Per Seconds, it is 'rad/s'. These symbols are used to denote frequency and wavelength in everyday and technical measurements.
How to convert Revolutions Per Minute(s) to Radians Per Second(es)?
To convert Revolutions Per Minute(s) to Radians Per Second(es), multiply the number of Revolutions Per Minutes by 0.10471975511966 because one Revolutions Per Minute equals 0.10471975511966 Radians Per Seconds.
Formula: Radians Per Seconds = Revolutions Per Minutes × 0.10471975511966.
This is a standard rule used in frequency and wavelength conversions.
How to convert Radians Per Second(es) to Revolutions Per Minute(s) ?
To convert Radians Per Second(es) to Revolutions Per Minute(s), divide the number of Radians Per Seconds by 0.10471975511966, since, 1 Revolutions Per Minute contains exactly 0.10471975511966 Radians Per Second(es).
Formula: Revolutions Per Minutes = Radians Per Second(s) ÷ 0.10471975511966.
It’s a common calculation in frequency and wavelength conversions.
How many Revolutions Per Minute(s) are these in an Radians Per Second(es) ?
There are 9.5492965855137 Revolutions Per Minutes in one Radians Per Second. This is derived by dividing 1 Radians Per Second by 0.10471975511966, as 1 Revolutions Per Minute equals 0.10471975511966 Radians Per Second(s).
Formula: Revolutions Per Minute = Radians Per Seconds ÷ 0.10471975511966.
It’s a precise unit conversion method.
How many Radians Per Second(es) are these in an Revolutions Per Minute(s) ?
There are exactly 0.10471975511966 Radians Per Seconds in one Revolutions Per Minute. This is a fixed value used in the measurement system.
Formula: Radians Per Second(s) = Revolutions Per Minutes × 0.10471975511966.
It's one of the most basic conversions.
How many Radians Per Second in 10 Revolutions Per Minute?
There are 1.0471975511966 Radians Per Seconds in 10 Revolutions Per Minutes. This is calculated by multiplying 10 by 0.10471975511966.
Formula: 10 Revolutions Per Minutes × 0.10471975511966 = 1.0471975511966 Radians Per Seconds.
This conversion is helpful for frequency and wavelength measurements.
How many Radians Per Second(s) in 50 Revolutions Per Minute?
There are 5.235987755983 Radians Per Seconds in 50 Revolutions Per Minutes. One can calculate it by multiplying 50 by 0.10471975511966.
Formula: 50 Revolutions Per Minutes × 0.10471975511966 = 5.235987755983 Radians Per Seconds.
This conversion is used in many applications.
How many Radians Per Second(s) in 100 Revolutions Per Minute?
There are 10.471975511966 Radians Per Second(s) in 100 Revolutions Per Minutes. Multiply 100 by 0.10471975511966 to get the result.
Formula: 100 Revolutions Per Minutes × 0.10471975511966 = 10.471975511966 Radians Per Second(s).
This is a basic unit conversion formula.