Enter the total number of RPMs, and the calculator will convert them into radians per second and radians per minute.

RPM to Rads Formula

The following formula converts rotations per minute to radians per second. 

Rad/s = RPM * 6.283185307 / 60
  • Where Rad/s is radians per second
  • RPM is rotations per minute

Rotations per minute (RPM) is a unit of measurement used to quantify the number of complete rotations an object makes in one minute.

RPM to Rads Definition

RPM to Rads is the conversion between rotations per minute to radians per second.

RPM to Rads Example

So how is RPM converted to rad/s?

First, you need to think of how many radians are in one rotation. Since one rotation can be considered a circle, we know that there are 2 pi radians in a circle = 6.282185 radians.

Next, we must convert the minutes to seconds, which we know of course is 60 seconds per minute.

Finally, we simply end up with the equation above we can use to convert from rpm to rads.

FAQ

What is the significance of converting RPM to radians per second?
Converting RPM to radians per second is significant in various fields such as engineering and physics because it allows for the standardization of rotational speed measurements, facilitating easier comparison and calculation in scientific and technical applications.

Can this conversion be used for any rotating object?
Yes, this conversion can be applied to any rotating object, regardless of its size or the nature of its rotation. This makes it a versatile tool in analyzing and comparing the rotational speeds of different objects or systems.

Why are radians used instead of degrees for this conversion?
Radians are used instead of degrees because they provide a direct measure of the distance traveled around a circle, making them the natural choice for calculations involving rotation. Radians simplify many mathematical expressions, making them preferable in scientific and engineering contexts.

Is there a difference between radians per second and radians per minute?
Yes, radians per second and radians per minute measure the same concept—rotational speed—but on different time scales. Radians per second is a more common measure in physics and engineering due to its direct relation to the standard unit of time (the second), while radians per minute might be used in contexts where minute-level granularity is more relevant.

rpm to rads calculator
rpm to rad/s formula