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radians per second to rotations per minute conversion

radians per second to rotations per minute conversion table

radians per second (rad/s)rotations per minute (rpm)
00
19.5492965855137
219.098593171027
328.647889756541
438.197186342055
547.746482927569
657.295779513082
766.845076098596
876.39437268411
985.943669269623
1095.492965855137
20190.98593171027
30286.47889756541
40381.97186342055
50477.46482927569
60572.95779513082
70668.45076098596
80763.9437268411
90859.43669269623
100954.92965855137
10009549.2965855137

How to convert radians per second to rotations per minute

1 radians per second (rad/s) is equal to 9.5492968 rotations per minute (rpm). Conversely, 1 rotations per minute (rpm) is equal to 0.1047198 radians per second (rad/s).

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the rotations per minute to other unit conversions.

Step by step guide to convert radians per second to rotations per minute

Converting units

In this we need to convert units between ISO and SI standard units. 1 revolution is same as 1 Hz in SI unit system. 1 Hz is a 1 cycle/s. 1 cycle is also equal to 2π2\pi rads

2πrad/s=60rpm2\pi rad/s = 60 rpm

In plain English?

If a wheel spin for 1 cycle per second (second = 1/60th of a minute), how much did it rotate with in 1 minute? Ans: 60 cycles

Solving the equation to rotations per minute

1rad/s=602πrpm=9.54929658551rpm1 rad/s = \frac{60}{2\pi} rpm = 9.54929658551 rpm

or

1rpm=0.10471975511965977rad/s1 rpm = 0.10471975511965977 rad/s

Wikipedia page for revolutions per minute.

What is radians per second?

The radians per second is a measurement used for defining angular velocity or rotational speed. This is the standard SI unit for measuring angular velocity. Unit of radians per second is rad/srad/s or rad∗s−1rad*s^{-1}.

1 rad∗s−1=1ω=3602πdeg∗s−1=12πHz=0.159155Hz1\ rad*s^{-1} = 1\omega = \frac{360}{2\pi} deg*s^{-1} = \frac{1}{2\pi} Hz = 0.159155 Hz

Wikipedia page for explanation on Radian per second

What is rotations per minute?

The rotations per minute or rotational speed is a measurement used for measuring number of revolutions or cycles a object rotate around an axis in a unit of time. This is also know as rpm (revolution per minute) or cps (cycles per minute). This is the standard SI unit for measuring angular velocity. Unit of rotations per second is HzHz.

1Hz=2πω=2π∗rads=360degs1 Hz = 2\pi\omega = 2\pi*\frac{rad}{s} = 360 \frac{deg}{s}

Wikipedia page for explanation on rotational speed

Complete radians per second conversion table

Enter # of radians per second
Convert 1 rad/s to other unitsResult
radians per second to millihertz (rad/s to mHz)159.1549430919
radians per second to hertz (rad/s to Hz)0.1591549430919
radians per second to kilohertz (rad/s to kHz)0.0001591549430919
radians per second to megahertz (rad/s to MHz)1.591549430919e-7
radians per second to gigahertz (rad/s to GHz)1.591549430919e-10
radians per second to terahertz (rad/s to THz)1.591549430919e-13
radians per second to rotations per minute (rad/s to rpm)9.5492965855137
radians per second to degrees per second (rad/s to deg/s)57.295779513082

Frequency conversions