Radians per Second to Revolutions per Minute Conversion

To use the radians per second to revolutions per minute conversion calculator, simply enter the frequency value in the input field labeled “Enter frequency in radian per second”. After that, press the “Convert” button. The result, displayed in the output field labeled “Results in revolutions per minute”, will show you the converted value. If you wish to start a new calculation, just click the “Reset” button. Enjoy converting your units effortlessly!

RPM to rad/s conversion calculator ►

How to Convert Rad/S to RPM?

A nifty formula works to convert angular velocity from radians per second (rad/s) to revolutions per minute (RPM):

RPM = (rad/s) * (60/2π).

A conversion factor in this equation (60/2π) is the transition between seconds and minutes, as well as deftly handling the conversion between radians and revolutions. Basically, the frequency in RPM can be obtained by multiplying the angular frequency in radians per second by 2π and then dividing by 60.

Example

For example, if you have a value of 15 rad/s and want to convert it to RPM:

RPM = 15 * (60/2π) = 15 * (60 / 6.283185) ≈ 143.24 RPM

Thus, 15 rad/s is approximately equal to 143.24 RPM.

Radian per Second to Revolution per Minute Conversion Table

Here’s a conversion table for radians per second (rad/s) to revolutions per minute (RPM) for the 35 most commonly used values:

Radians per Second (rad/s)	Revolutions per Minute (rpm)
1	9.5493
2	19.0986
3	28.6479
4	38.1972
5	47.7465
6	57.2958
7	66.8451
8	76.3944
9	85.9437
10	95.493
15	143.239
20	190.985
25	238.732
30	286.478
35	334.225
40	381.971
45	429.718
50	477.464
55	525.211
60	572.957
65	620.704
70	668.45
75	716.197
80	763.943
85	811.69
90	859.436
95	907.183
100	954.929
125	1193.66
150	1432.39
175	1671.12
200	1909.85
250	2387.31
300	2864.78
350	3342.25
400	3819.71
450	4297.18
500	4774.64

See Also

• Hz to rad/s
• Rad/s to Hz
• RPM to Hz
• Hz to RPM