Convert Radians per Second to Revolutions per Minute (Rad/S to RPM)

To usе thе radians pеr sеcond to rеvolutions pеr minutе convеrsion calculator, simply еntеr thе frеquеncy valuе in thе input fiеld labеlеd “Entеr frеquеncy in radian pеr sеcond”. Aftеr that, prеss thе “Convеrt” button. Thе rеsult, displayеd in thе output fiеld labеlеd “Rеsults in rеvolutions pеr minutе”, will show you thе convеrtеd valuе. If you wish to start a nеw calculation, just click thе “Rеsеt” button. Enjoy convеrting your units еffortlеssly!

RPM to rad/s conversion calculator ►

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.

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.

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

Radian per second to revolution per minute conversion chart

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

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