Radians Per Second to Revolutions Per Minute Conversion

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

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1 rad/s = 9.549297 RPM
Do you want to convert revolutions per minute to radians per second?

How to Convert Radians Per Second to Revolutions Per Minute

To convert a radian per second measurement to a revolution per minute measurement, multiply the frequency by the conversion ratio.

Since one radian per second is equal to 9.549297 revolutions per minute, you can use this simple formula to convert:

revolutions per minute = radians per second × 9.549297

The frequency in revolutions per minute is equal to the radians per second multiplied by 9.549297.

For example, here's how to convert 5 radians per second to revolutions per minute using the formula above.
5 rad/s = (5 × 9.549297) = 47.746483 RPM

The following formula can also be used to convert the angular frequency in radians per second to the frequency in revolutions per minute:

RPM = rad/s2π × 60

Thus, the frequency in revolutions per minutes is equal to the angular frequency in radians per second divided by 2π times 60.

For example, here's how to convert 5 rad/s to RPM using this formula.
RPM = 5 rad/s2π × 60
RPM = 0.7957747 × 60
RPM = 47.746483

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

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.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.[1]

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 = RevolutionsTimem

Radian Per Second to Revolution Per Minute Conversion Table

Radian per second measurements converted to revolutions per minute
Radians Per Second Revolutions Per Minute
1 rad/s 9.5493 RPM
2 rad/s 19.1 RPM
3 rad/s 28.65 RPM
4 rad/s 38.2 RPM
5 rad/s 47.75 RPM
6 rad/s 57.3 RPM
7 rad/s 66.85 RPM
8 rad/s 76.39 RPM
9 rad/s 85.94 RPM
10 rad/s 95.49 RPM
11 rad/s 105.04 RPM
12 rad/s 114.59 RPM
13 rad/s 124.14 RPM
14 rad/s 133.69 RPM
15 rad/s 143.24 RPM
16 rad/s 152.79 RPM
17 rad/s 162.34 RPM
18 rad/s 171.89 RPM
19 rad/s 181.44 RPM
20 rad/s 190.99 RPM
21 rad/s 200.54 RPM
22 rad/s 210.08 RPM
23 rad/s 219.63 RPM
24 rad/s 229.18 RPM
25 rad/s 238.73 RPM
26 rad/s 248.28 RPM
27 rad/s 257.83 RPM
28 rad/s 267.38 RPM
29 rad/s 276.93 RPM
30 rad/s 286.48 RPM
31 rad/s 296.03 RPM
32 rad/s 305.58 RPM
33 rad/s 315.13 RPM
34 rad/s 324.68 RPM
35 rad/s 334.23 RPM
36 rad/s 343.77 RPM
37 rad/s 353.32 RPM
38 rad/s 362.87 RPM
39 rad/s 372.42 RPM
40 rad/s 381.97 RPM

References

  1. National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using

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