Revs Per Second To Radians Per Second Conversion

rps

1 rps = 6.28318531 rad/s

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

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

The formula for converting revs per second to radians per second is: rad/s = rps × 6.28318531. To calculate the revs per second value in radians per second first substitute the revs per second value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 revs per second in radians per second we follow these steps:

rad/s = rps × 6.28318531

rad/s = 1 × 6.28318531

rad/s = 6.28318531

In other words, 1 revs per second is equal to 6.28318531 radians per second.


Example Conversion

Let's take a look at an example. The step-by-step process to convert 7 revs per second to radians per second is:

  1. Understand the conversion formula: rad/s = rps × 6.28318531
  2. Substitute the required value. In this case we substitute 7 for rps so the formula becomes: rad/s = 7 × 6.28318531
  3. Calculate the result using the provided values. In our example the result is: 7 × 6.28318531 = 43.98229717 rad/s

In summary, 7 revs per second is equal to 43.98229717 radians per second.


Converting radians per second to revs per second

In order to convert the other way around i.e. radians per second to revs per second, you would use the following formula: rps = rad/s × 0.159154943020453. To convert radians per second to revs per second 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 second we follow these steps:

rps = rad/s × 0.159154943020453

rps = 1 × 0.159154943020453

rps = 0.159154943020453

Or in other words, 1 radians per second is equal to 0.159154943020453 revs per second.


Conversion Unit Definitions

What is a Revs Per Second?

Revs per second (r/s) is a unit of rotational frequency or angular velocity measurement. It represents the number of complete revolutions or cycles that occur in one second. It is commonly used to quantify the rotational speed of objects or systems.
To provide a detailed example of revs per second, let's consider a rotating object, such as a wheel or a spinning top. If this object completes 5 full revolutions in one second, then its rotational frequency or angular velocity would be 5 r/s. This means that the object completes 5 cycles of rotation in each second of time.
The concept of revs per second finds wide application in various fields. For instance, in mechanical engineering and automotive industries, revs per second are used to measure the rotational speed of engines, crankshafts, or other rotating components. The number of revs per second directly correlates to the speed at which these mechanical parts are rotating.
In physics and scientific research, revs per second are utilized to describe the frequency of oscillations or rotations in systems such as pendulums, turbines, or rotating machinery. Understanding the revs per second allows scientists and engineers to analyze and optimize the performance of these systems.
In sports, revs per second can be used to quantify the spinning speed of athletes in activities such as figure skating, gymnastics, or diving. It provides a metric for evaluating the rotational dynamics and control of movements.
It's important to note that revs per second is a relative measurement and does not have a direct conversion to other units of frequency, such as hertz. However, it is related to hertz through the relationship that one rev per second is equal to 1/60 hertz (1/60 Hz).
In summary, revs per second (r/s) is a unit of rotational frequency or angular velocity measurement, representing the number of complete revolutions or cycles that occur in one second. It finds applications in mechanical engineering, physics, 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 Second To Radians Per Second Conversion Table

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

Revs Per Second (rps)Radians Per Second (rad/s)
1 rps6.28318531 rad/s
2 rps12.56637062 rad/s
3 rps18.84955593 rad/s
4 rps25.13274124 rad/s
5 rps31.41592655 rad/s
6 rps37.69911186 rad/s
7 rps43.98229717 rad/s
8 rps50.26548248 rad/s
9 rps56.54866779 rad/s
10 rps62.8318531 rad/s
11 rps69.11503841 rad/s
12 rps75.39822372 rad/s
13 rps81.68140903 rad/s

Other Common Revs Per Second Conversions

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

ConversionResult
1 revs per second in revs per minute60 rpm