There are different ways to measure the speed of something spinning, but it is important to know what it means to convert them. For example, if a car engine’s crankshaft is turning at 157 radians per second, how much does it turn in one minute?
This question might look very specific, but it will become easier to understand once you learn how to do this conversion. That is why we have designed our radians per second to revolutions per minute converter. This calculator will help you quickly and accurately convert rad sec to rpm.
What are Radians Per Second?
Radians per second (Rad/S) is a unit that measures angular frequency or rotational speed, showing how much an object’s angular orientation changes per second. This unit is written as rad/s or rad*s⁻¹.
In unit expressions, the slash or solidus (/) is used to indicate a ratio or a change in one unit relative to another. For example, rad/s indicates how an angle changes over time. It is mostly used in physics and engineering to describe rotational motion.
What are Revolutions Per Minute?
Revolutions per Minute (RPM) is used to measure how many times an object rotates or turns in one minute. Revolutions per Minute is also abbreviated as rev/min or r/min.
For example, 1 revolution per minute can be represented as 1 RPM, 1 rev/min, or 1 r/min. Keep in mind that this measurement is per minute, unlike many other measures of rotation which are per second.
What is a Radians Per Second to Revolutions Per Minute Converter?
A radians per second to rpm converter is a digital tool that helps you change the measurements between radians per second (rad/s) and revolutions per minute (RPM).
This converter makes the process of calculating rotational speed easy by allowing users to input a value in radians per second and quickly acquire the accurate value in revolutions per minute. It is a useful tool for people working in fields like physics, engineering, or anyone who wants to know the correct rotational speed.
It provides users with correct results which removes the need for manual calculations and ensures accuracy in converting between these two units of angular velocity.
Benefits of Using This Calculator
Whether you are a student, engineer, or simply curious about rotational speed conversions, using a radians per second to revolutions per minute converter can make the conversion process simple. The following are some of the benefits that our calculator offers:
- Accurate and Efficient: The converter ensures correct calculations and reduces the chances of human mistakes. It provides accurate results quickly, making it a useful tool for individuals.
- User-friendly Interface: Our converter features an easy-to-use interface, allowing visitors to easily input the data. With clear instructions and simple fields, it is accessible to anyone with different levels of technical abilities.
- Saves Time: Instead of manually converting radians per second to revolutions per minute, which can be time-consuming, this calculator automates the process. It calculates the rpm based on the entered radian value.
- Convenience: Uses have the flexibility to use our converter from anywhere, provided they have an internet connection.
Rad/s to RPM Conversion Table
The radians per second to revolutions per minute transformation table is created using the conversion factor mentioned in this sheet.
| Radians Per Second | Revolutions Per Minute |
| 1 rad/s | 9.5493 RPM |
| 2 rad/s | 19.0986 RPM |
| 3 rad/s | 28.6479 RPM |
| 4 rad/s | 38.1972 RPM |
| 5 rad/s | 47.7465 RPM |
| 6 rad/s | 57.2958 RPM |
| 7 rad/s | 66.8451 RPM |
| 8 rad/s | 76.3944 RPM |
| 9 rad/s | 85.9437 RPM |
| 10 rad/s | 95.493 RPM |
| 15 rad/s | 143.239 RPM |
| 20 rad/s | 190.986 RPM |
| 25 rad/s | 238.732 RPM |
| 30 rad/s | 286.479 RPM |
How to Convert from Rad/s to RPM?
To convert a measurement from rad sec to rpm, multiply the frequency by the conversion factor: 9.549297. Given that one radian per second equals 9.549297 revolutions per minute, you can easily convert using this formula:
| Revolutions per minute = Radians per second×9.549297 |
The number of revolutions per minute equals the number of radians per second multiplied by 9.549297.
For example- let’s say you have a rotating wheel that spins at 3 radians per second and you want to find out how many revolutions per minute (RPM) this corresponds to.
Using the conversion formula: Revolutions per minute = Radians per second×9.549297. Applying this formula, we calculate that a wheel spinning at 3 radians per second corresponds to approximately 28.64789 revolutions per minute.
How to Use Radians Per Second to RPM Converter?
Converting angular velocity from rad sec to rpm is important in various fields such as engineering, physics, and mechanics. The calculator simplifies this method by providing a quick way to switch between these measurement units.
The following are some steps you need to follow to use our converter to get accurate results:
1. Enter the Frequency Value
Start by entering the frequency value in the labeled field “enter a frequency in radians per second” on the converter interface. Input the numerical value representing the frequency in radians per second that you want to convert to revolutions per minute (RPM).
2. Press Convert Button
Once you have mentioned the frequency value, tap on the “convert” button in the radians per second to revolutions per minute calculator. This action initiates the conversion process by using the standard formula.
3. View the Results
The converted results will be displayed on the screen, showing the equivalent value in revolutions per minute.
Example of using Radians Per Second to Revolutions Per Minute Converter
Suppose, there is a turbine blade rotating at 6 radians per second and you want to know its speed in revolutions per minute (RPM). You can use our converter to figure out RPM.
- Start by putting the frequency value 6 in the “Radian Per Second” box.
- Press the “convert button” to initiate the conversion process.
- The converted value will be displayed on your screen.
Therefore, a turbine blade spinning at 6 radians per second corresponds to approximately 57.29578 revolutions per minute. This example shows how a converter helps change measurements from radians per second to revolutions per minute and provides accurate data.
Frequently Asked Questions
What is Angular Velocity?
Angular velocity is a measurement that shows how fast an object rotates around a point. It indicates the speed of rotation and is personified by the Greek word omega (ω, sometimes Ω). It is measured in angles per unit of time, with radians per second being the standard SI unit for this measurement.
Why use a rad/s rpm converter?
Our converter helps you to quickly change angular velocity measurements. This is useful for engineers, scientists, or anyone required to measure rotational speed.
How many revolutions per minute are there in 1 rad/s?
One radian per second equals 9.549297 revolutions per minute, which is why we use this value in the above-mentioned formula.
Can I change other units of angular velocity using this converter?
No, this converter is particularly designed for rad/s rpm conversion only. You can check our other calculators on our website.