Convert Revolutions Per Minute to Radians Per Second

Enter the frequency in revolutions per minute below to get the value converted to radians per second.

Results in Radians Per Second:

1 RPM = 0.10472 rad/s

Do you want to convert radians per second to revolutions per minute?

How to Convert Revolutions Per Minute to Radians Per Second

To convert a revolution per minute measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One revolution per minute is equal to 0.10472 radians per second, so use this simple formula to convert:

radians per second = revolutions per minute × 0.10472

The frequency in radians per second is equal to the revolutions per minute multiplied by 0.10472.

For example, here's how to convert 5 revolutions per minute to radians per second using the formula above.

5 RPM = (5 × 0.10472) = 0.523599 rad/s

Revolutions per minute and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

Revolutions Per Minute

Revolutions per minute are a measure of the number of turns, or revolutions, that occur per minute.

Revolutions per minute can be abbreviated as RPM, and are also sometimes abbreviated as rev/min or r/min. For example, 1 revolution per minute can be written as 1 RPM, 1 rev/min, or 1 r/min.

Revolutions per minute can be expressed using the formula: RPM = RevolutionsTime^m

Radians Per Second

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in radians per second.

Radians per second can be abbreviated as rad/s, for example 1 radian per second can be written as 1 rad/s.

Revolution Per Minute Measurements and Equivalent Radian Per Second Conversions

Common revolution per minute values converted to the equivalent radian per second value
Revolutions Per Minute	Radians Per Second
1 RPM	0.10472 rad/s
2 RPM	0.20944 rad/s
3 RPM	0.314159 rad/s
4 RPM	0.418879 rad/s
5 RPM	0.523599 rad/s
6 RPM	0.628319 rad/s
7 RPM	0.733038 rad/s
8 RPM	0.837758 rad/s
9 RPM	0.942478 rad/s
10 RPM	1.0472 rad/s
11 RPM	1.1519 rad/s
12 RPM	1.2566 rad/s
13 RPM	1.3614 rad/s
14 RPM	1.4661 rad/s
15 RPM	1.5708 rad/s
16 RPM	1.6755 rad/s
17 RPM	1.7802 rad/s
18 RPM	1.885 rad/s
19 RPM	1.9897 rad/s
20 RPM	2.0944 rad/s
21 RPM	2.1991 rad/s
22 RPM	2.3038 rad/s
23 RPM	2.4086 rad/s
24 RPM	2.5133 rad/s
25 RPM	2.618 rad/s
26 RPM	2.7227 rad/s
27 RPM	2.8274 rad/s
28 RPM	2.9322 rad/s
29 RPM	3.0369 rad/s
30 RPM	3.1416 rad/s
31 RPM	3.2463 rad/s
32 RPM	3.351 rad/s
33 RPM	3.4558 rad/s
34 RPM	3.5605 rad/s
35 RPM	3.6652 rad/s
36 RPM	3.7699 rad/s
37 RPM	3.8746 rad/s
38 RPM	3.9794 rad/s
39 RPM	4.0841 rad/s
40 RPM	4.1888 rad/s