Convert » Unit Converter » Frequency » RPM → rad/s

RPM → rad/s (RPM → Radian Per Second)

RPM to Radian Per Second direct conversion page with calculator, reverse conversion and comparison table.

1 RPM = 0.10471975511966 Radian Per Second
1 RPM (RPM) = 0.10471975511966 rad/s (Radian Per Second).


swap converter

If you want to reverse convert, use rad/s → RPM. 1 Radian Per Second = 9.5492965855137 RPM. You can also explore the full Frequency converter page for more cross conversions.

Conversion formula

RPM to rad/s formula: value in Radian Per Second = value in RPM × 0.10471975511966.

rad/s to RPM formula: value in RPM = value in Radian Per Second × 9.5492965855137.

How to convert RPM to rad/s

To convert RPM to rad/s, multiply the value in RPM by 0.10471975511966. This gives the result in Radian Per Second.

For example, 1 RPM = 0.10471975511966 Radian Per Second and 10 RPM = 1.0471975511966 Radian Per Second.

What is RPM?

RPM (RPM): Counts complete revolutions per minute, as on motor and engine specifications. 60 rpm = 1 Hz.

What is rad/s?

rad/s (rad/s): Expresses angular frequency; one full revolution spans 2π radians. 2π rad/s = 1 Hz; 1 rad/s ≈ 0.159155 Hz.

FAQ

How many rad/s are in 1 rpm?

There are 0.10471975511966 Radian Per Second in 1 RPM.

Why can conversion results differ slightly?

Check the unit definition and rounding. US and imperial measures can differ; rounding intermediate values can also change the final digits.

How do I convert rpm to rad/s?

Multiply the value in RPM by 0.10471975511966 to get the value in Radian Per Second.

RPM → other Frequency units

  • 1 rpm → hertz = 0.016666666666667 hertz
  • 1 rpm → rad/s = 0.10471975511966 rad/s
  • 1 rpm = 1.6666666666667E-5 kilohertz
  • 1 rpm = 1.6666666666667E-8 megahertz
  • 1 rpm = 1.6666666666667E-11 gigahertz

RPM → rad/s Table

The table below shows common values from RPM to rad/s and the reverse direction for quick reference.

RPMRadian Per SecondRounded
1 RPM0.10471975511966 Radian Per Second0.1047
2 RPM0.20943951023932 Radian Per Second0.2094
3 RPM0.31415926535898 Radian Per Second0.3142
4 RPM0.41887902047864 Radian Per Second0.4189
5 RPM0.5235987755983 Radian Per Second0.5236
10 RPM1.0471975511966 Radian Per Second1.0472
12 RPM1.2566370614359 Radian Per Second1.2566
15 RPM1.5707963267949 Radian Per Second1.5708
20 RPM2.0943951023932 Radian Per Second2.0944
25 RPM2.6179938779915 Radian Per Second2.6180
30 RPM3.1415926535898 Radian Per Second3.1416
40 RPM4.1887902047864 Radian Per Second4.1888
50 RPM5.235987755983 Radian Per Second5.2360
75 RPM7.8539816339745 Radian Per Second7.8540
100 RPM10.471975511966 Radian Per Second10.4720
200 RPM20.943951023932 Radian Per Second20.9440
250 RPM26.179938779915 Radian Per Second26.1799
500 RPM52.35987755983 Radian Per Second52.3599
750 RPM78.539816339745 Radian Per Second78.5398
1000 RPM104.71975511966 Radian Per Second104.7198
2500 RPM261.79938779915 Radian Per Second261.7994
5000 RPM523.5987755983 Radian Per Second523.5988
10000 RPM1047.1975511966 Radian Per Second1047.1976

rad/s → RPM Table

Radian Per SecondRPMRounded
1 Radian Per Second9.5492965855137 RPM9.5493
2 Radian Per Second19.098593171027 RPM19.0986
3 Radian Per Second28.647889756541 RPM28.6479
4 Radian Per Second38.197186342055 RPM38.1972
5 Radian Per Second47.746482927569 RPM47.7465
10 Radian Per Second95.492965855137 RPM95.4930
12 Radian Per Second114.59155902616 RPM114.5916
15 Radian Per Second143.23944878271 RPM143.2394
20 Radian Per Second190.98593171027 RPM190.9859
25 Radian Per Second238.73241463784 RPM238.7324
30 Radian Per Second286.47889756541 RPM286.4789
40 Radian Per Second381.97186342055 RPM381.9719
50 Radian Per Second477.46482927569 RPM477.4648
75 Radian Per Second716.19724391353 RPM716.1972
100 Radian Per Second954.92965855137 RPM954.9297
200 Radian Per Second1909.8593171027 RPM1909.8593
250 Radian Per Second2387.3241463784 RPM2387.3241
500 Radian Per Second4774.6482927569 RPM4774.6483
750 Radian Per Second7161.9724391353 RPM7161.9724
1000 Radian Per Second9549.2965855137 RPM9549.2966
2500 Radian Per Second23873.241463784 RPM23873.2415
5000 Radian Per Second47746.482927569 RPM47746.4829
10000 Radian Per Second95492.965855137 RPM95492.9659

rad/s → RPM

The reverse value is 1 Radian Per Second = 9.5492965855137 RPM.