revolution per minute
FrequencyAngular speedexact by definition
A revolution per minute, treated here as a frequency, is exactly 1/60 hertz. It counts complete rotations per minute of a shaft, wheel, fan or rotor. The factor is exact by definition.
Watch out: The same abbreviation is used for angular speed, where 1 rpm is rad/s. As a frequency it is 0.01667 Hz. The two differ by , so check which quantity a formula wants before substituting.
| 1 (Frequency) | 0.016666667 |
| 1 (Angular speed) | 0.10471976 |
About the revolution per minute
Rotational machinery is specified in rpm because a revolution is the thing that matters: a pump moves a fixed volume per revolution, a gear tooth engages once per revolution, and a bearing sees one load cycle per revolution. Typical values anchor the scale. A car engine idles near 700 rpm and redlines between 6,000 and 8,000, a desktop hard drive spins at 5,400 or 7,200 rpm, a laboratory centrifuge reaches 15,000 rpm, and a turbocharger can exceed 150,000 rpm.
Alternating-current motors tie rpm directly to supply frequency. The synchronous speed is , with in hertz and the number of poles, so a two-pole motor on 60 Hz turns at 3,600 rpm and a four-pole at 1,800 rpm. On 50 Hz those become 3,000 and 1,500 rpm, which is why equipment moved between North America and Europe runs 20% slower or faster unless it is redesigned or driven by a variable frequency drive. Induction motors run slightly below synchronous speed, and that gap, called slip, is what produces their torque.
A revolution per minute as an angular speed is exactly radians per second, about 0.10472 rad/s. It is the standard nameplate unit for motors, pumps, fans and engines. The relation is exact by definition, though is irrational and the decimal is rounded.
One revolution per minute in every frequency unit
| 16,666,700 | nanohertz (nHz) | |
| 525,960 | per year (1/yr) | |
| 16,666.7 | microhertz (μHz) | |
| 1,440 | per day (1/d) | |
| 60 | per hour (1/h) | |
| 16.6667 | millihertz (mHz) | |
| 1 | revolution per minute (rpm)this unit | |
| 1 | cycle per minute (cpm) | |
| 1 | beat per minute (bpm) | |
| 0.0166667 | hertz (Hz) | convert → |
| 0.0166667 | cycle per second (cps) | |
| 0.0166667 | revolution per second (rev/s) | |
| 0.0000166667 | kilohertz (kHz) | convert → |
| 1.66667e-08 | megahertz (MHz) | convert → |
| 1.66667e-11 | gigahertz (GHz) | |
| 1.66667e-14 | terahertz (THz) | |
| 1.66667e-17 | petahertz (PHz) |
One revolution per minute in every angular speed unit
| 21,600 | degree per hour (°/h) | |
| 1,440 | revolution per day (rev/d) | |
| 360 | degree per minute (°/min) | |
| 104.72 | milliradian per second (mrad/s) | |
| 60 | revolution per hour (rev/h) | |
| 6.28319 | radian per minute (rad/min) | |
| 6 | degree per second (°/s) | |
| 1 | revolution per minute (rpm)this unit | |
| 0.10472 | radian per second (rad/s) | |
| 0.0166667 | revolution per second (rev/s) | |
| 0.001 | thousand revolutions per minute (krpm) |