rotations per minute (rpm) | radians per second (rad/s) |
---|---|

0 | 0 |

1 | 0.1047197551197 |

2 | 0.2094395102393 |

3 | 0.314159265359 |

4 | 0.4188790204786 |

5 | 0.5235987755983 |

6 | 0.628318530718 |

7 | 0.7330382858376 |

8 | 0.8377580409573 |

9 | 0.9424777960769 |

10 | 1.0471975511966 |

20 | 2.0943951023932 |

30 | 3.1415926535898 |

40 | 4.1887902047864 |

50 | 5.235987755983 |

60 | 6.2831853071796 |

70 | 7.3303828583762 |

80 | 8.3775804095728 |

90 | 9.4247779607694 |

100 | 10.471975511966 |

1000 | 104.71975511966 |

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.

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

$1 rpm = 2\pi \frac{rad}{s} * \frac{1}{60}s$

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

$1 rpm = 0.10471975511965977 rad/s$

or

$1 rad/s = \frac{60}{2\pi} rpm = 9.54929658551 rpm$

Wikipedia page for revolutions per minute. Wikipedia page for radian per second

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

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

Convert 1 rpm to other units | Result |
---|---|

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 |

- rotations per minute to millihertz (rpm to mHz)
- rotations per minute to hertz (rpm to Hz)
- rotations per minute to kilohertz (rpm to kHz)
- rotations per minute to megahertz (rpm to MHz)
- rotations per minute to gigahertz (rpm to GHz)
- rotations per minute to terahertz (rpm to THz)
- rotations per minute to degrees per second (rpm to deg/s)
- rotations per minute to radians per second (rpm to rad/s)