Revs Per Minute To Radians Per Second Conversion

rpm

1 rpm = 0.104719755166667 rad/s

Want to convert from radians per second to revs per minute instead?

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How to convert revs per minute to radians per second (rpm to rad/s)

The formula for converting revs per minute to radians per second is: rad/s = rpm × 0.104719755166667. To calculate the revs per minute value in radians per second first substitute the revs per minute value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 revs per minute in radians per second we follow these steps:

rad/s = rpm × 0.104719755166667

rad/s = 1 × 0.104719755166667

rad/s = 0.104719755166667

In other words, 1 revs per minute is equal to 0.104719755166667 radians per second.


Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 revs per minute to radians per second is:

  1. Understand the conversion formula: rad/s = rpm × 0.104719755166667
  2. Substitute the required value. In this case we substitute 6 for rpm so the formula becomes: rad/s = 6 × 0.104719755166667
  3. Calculate the result using the provided values. In our example the result is: 6 × 0.104719755166667 = 0.628318531000002 rad/s

In summary, 6 revs per minute is equal to 0.628318531000002 radians per second.


Converting radians per second to revs per minute

In order to convert the other way around i.e. radians per second to revs per minute, you would use the following formula: rpm = rad/s × 9.54929658122721. To convert radians per second to revs per minute first substitute the radians per second value into the above formula, and then execute the calculation. If we wanted to calculate 1 radians per second in revs per minute we follow these steps:

rpm = rad/s × 9.54929658122721

rpm = 1 × 9.54929658122721

rpm = 9.54929658122721

Or in other words, 1 radians per second is equal to 9.54929658122721 revs per minute.


Conversion Unit Definitions

What is a Revs Per Minute?

Revs per minute (RPM) is a unit of rotational frequency or angular velocity measurement. It represents the number of complete revolutions or cycles that occur in one minute. RPM is commonly used to quantify the rotational speed of objects or systems.
To provide a detailed example of revs per minute, let's consider a rotating object, such as a car engine. If the engine completes 3000 full revolutions in one minute, then its rotational frequency or angular velocity would be 3000 RPM. This means that the engine rotates 3000 times in each minute of time.
The concept of revs per minute finds wide application in various fields. In automotive industries, RPM is used to measure the rotational speed of engines, crankshafts, or other rotating components. It is an important parameter for assessing the performance, efficiency, and power output of engines.
In manufacturing and machining processes, RPM is utilized to determine the speed at which cutting tools or machining equipment rotate. Controlling the RPM helps achieve desired material removal rates and ensures precise and efficient operations.
In the context of power tools and machinery, RPM is often mentioned as a specification to indicate the speed at which the tool operates. For example, a power drill may have multiple speed settings mentioned in RPM, allowing users to adjust the rotational speed based on their requirements.
RPM is also used in sports, particularly in motorsports and cycling, to describe the speed at which vehicles or bicycles rotate their wheels. It provides a metric for evaluating performance, acceleration, and overall speed in these activities.
It's important to note that revs per minute can be converted to revs per second by dividing the value by 60. For example, 3000 RPM is equivalent to 50 revs per second (3000/60).
In summary, revs per minute (RPM) is a unit of rotational frequency or angular velocity measurement, representing the number of complete revolutions or cycles that occur in one minute. It is widely used in automotive industries, manufacturing, power tools, sports, and various other fields where the rotational speed of objects or systems needs to be quantified.

What is a Radians Per Second?

Radians per second (rad/s) is a unit of angular velocity measurement. It represents the rate at which an object rotates or undergoes angular displacement in radians per unit of time. Radians per second is a fundamental unit used in physics and engineering to describe rotational motion.
To provide a detailed example of radians per second, let's consider a rotating object, such as a spinning wheel. If the wheel completes an angular displacement of 2π radians in one second, then its angular velocity would be 2π rad/s. This means that the wheel rotates around its axis at a rate of 2π radians per second.
The concept of radians per second finds wide application in various fields. In physics, it is used to describe the angular velocity of objects undergoing rotational motion, such as rotating gears, pendulums, or celestial bodies. Angular velocity is a fundamental parameter for understanding rotational dynamics and can be used to calculate other quantities such as rotational speed or linear velocity at different points on a rotating object.
In engineering, radians per second are crucial for analyzing the behavior of rotating machinery, such as turbines, motors, or flywheels. Angular velocity measurements are used to determine the speed, power output, and efficiency of these systems. By measuring the rate of change of angular displacement, engineers can assess the performance and stability of rotating components.
It's important to note that radians per second can be converted to other units of angular velocity, such as degrees per second or revolutions per minute, by using conversion factors based on the relationship between radians and other angular units.
In summary, radians per second (rad/s) is a unit of angular velocity measurement, representing the rate at which an object rotates or undergoes angular displacement in radians per unit of time. It is widely used in physics and engineering to describe rotational motion and is fundamental for analyzing the behavior and performance of rotating objects and systems.

Revs Per Minute To Radians Per Second Conversion Table

Below is a lookup table showing common revs per minute to radians per second conversion values.

Revs Per Minute (rpm)Radians Per Second (rad/s)
1 rpm0.104719755166667 rad/s
2 rpm0.209439510333334 rad/s
3 rpm0.314159265500001 rad/s
4 rpm0.418879020666668 rad/s
5 rpm0.523598775833335 rad/s
6 rpm0.628318531000002 rad/s
7 rpm0.733038286166669 rad/s
8 rpm0.837758041333336 rad/s
9 rpm0.942477796500003 rad/s
10 rpm1.04719755166667 rad/s
11 rpm1.151917306833337 rad/s
12 rpm1.256637062000004 rad/s
13 rpm1.361356817166671 rad/s

Other Common Revs Per Minute Conversions

Below is a table of common conversions from revs per minute to other frequency units.

ConversionResult
1 revs per minute in revs per second0.0166666666666667 rps