Radians to Revolutions Converter

To convert radians to revolutions, multiply the angle by 0.159155, as one radian equals approximately 0.159155 revolutions.

How to Convert Radians to Revolutions

To convert an angle given in radians to an equivalent angle in revolutions, follow these steps:

1. Understand the Starting Point: You have an angle measured in radians, which is a unit used to measure angles, much like degrees. Radians are often used in mathematical and scientific contexts.
2. Know the Conversion Ratio: The conversion ratio between radians and revolutions is 0.159155 revolutions per radian. This means that for every radian, there are approximately 0.159155 revolutions.
3. Apply the Conversion Formula: To convert radians to revolutions, multiply the angle in radians by the conversion ratio:

Revolutions = Radians × (0.159155)

This formula simply means that to find the angle in revolutions, you take the angle in radians and multiply it by the conversion factor, which is 0.159155.

For example, if you have an angle of 5 radians and want to convert it to revolutions:

4. Perform the Calculation: Plug the value of radians into the formula:

Revolutions = (5 rad × 0.159155) = 0.795775 revolutions

So, 5 radians is equivalent to approximately 0.795775 revolutions.

5. Understand the Relationship: Remember, the conversion factor 0.159155 tells you how many revolutions there are in one radian. This conversion is helpful when you need to work with angles in different units, such as when dealing with circular motion or trigonometric calculations.

And that’s it! You’ve successfully converted an angle from radians to revolutions using a simple formula.

Radians to Revolutions Converter with Frequently Used Values