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rotations per minute to radians per second conversion

Unit	Result

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 $2\pi$ rads. Thus 60 cycles/min = 1 rpm

1 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

1 rpm = 0.10471975511965977 rad/s

1 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 $Hz$ .

1 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 $rad/s$ or $rad*s^{-1}$ .

1\ 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 units	Result
rotations per minute to millihertz (rpm to mHz)	16.666666666666668
rotations per minute to hertz (rpm to Hz)	0.016666666666666666
rotations per minute to kilohertz (rpm to kHz)	0.000016666666666666667
rotations per minute to megahertz (rpm to MHz)	1.6666666666666667e-8
rotations per minute to gigahertz (rpm to GHz)	1.6666666666666667e-11
rotations per minute to terahertz (rpm to THz)	1.6666666666666667e-14
rotations per minute to degrees per second (rpm to deg/s)	6
rotations per minute to radians per second (rpm to rad/s)	0.10471975511965977

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