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rotations per minute to radians per second conversion

rotations per minute to radians per second conversion table

rotations per minute (rpm)radians per second (rad/s)
00
10.1047197551197
20.2094395102393
30.314159265359
40.4188790204786
50.5235987755983
60.628318530718
70.7330382858376
80.8377580409573
90.9424777960769
101.0471975511966
202.0943951023932
303.1415926535898
404.1887902047864
505.235987755983
606.2831853071796
707.3303828583762
808.3775804095728
909.4247779607694
10010.471975511966
1000104.71975511966

How to convert rotations per minute to radians per second

1 rotations per minute (rpm) is equal to 0.1047198 radians per second (rad/s). Conversely, 1 radians per second (rad/s) is equal to 9.549297 rotations per minute (rpm).

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 radians per second to other unit conversions.

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

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. Thus 60 cycles/min = 1 rpm

1rpm=2πrads∗160s1 rpm = 2\pi \frac{rad}{s} * \frac{1}{60}s

In plain English?

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

Solving the equation for radians per second

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

or

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

Wikipedia page for revolutions per minute. Wikipedia page for 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

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

Complete rotations per minute conversion table

Enter # of rotations per minute
Convert 1 rpm to other unitsResult
rotations per minute to millihertz (rpm to mHz)16.666666666667
rotations per minute to hertz (rpm to Hz)0.01666666666667
rotations per minute to kilohertz (rpm to kHz)0.00001666666666667
rotations per minute to megahertz (rpm to MHz)1.6666666666667e-8
rotations per minute to gigahertz (rpm to GHz)1.6666666666667e-11
rotations per minute to terahertz (rpm to THz)1.6666666666667e-14
rotations per minute to degrees per second (rpm to deg/s)6
rotations per minute to radians per second (rpm to rad/s)0.1047197551197

Frequency conversions