\text{rev/s}

revolution per second

Frequency Angular speedexact by definition

The revolution per second is one full turn per second, numerically equal to one hertz. It is the rotational form of frequency, used where the thing being counted is a shaft turn rather than a waveform cycle, and it is the unit that makes shaft order analysis line up with a frequency spectrum.

Watch out: Equal to a hertz as a frequency, but not equal to a radian per second as an angular speed. One revolution per second is 2π rad/s, and confusing the two is the single most common error in rotational dynamics.

1 $\text{rev/s}$ (Frequency)	1 $\text{Hz}$
1 $\text{rev/s}$ (Angular speed)	6.2831853 $\text{rad/s}$

As a unit of angular speed

The revolution per second is exactly $2\pi$ radians per second, about 6.2832 rad/s. It is a convenient unit for fast rotation where counting whole turns is natural, and it is numerically identical to the frequency in hertz of the rotation. The relation is exact by definition.

One revolution per second in every frequency unit

1,000,000,000	nanohertz (nHz)
31,557,600	per year (1/yr)
1,000,000	microhertz (μHz)
86,400	per day (1/d)
3,600	per hour (1/h)
1,000	millihertz (mHz)
60	revolution per minute (rpm)
60	cycle per minute (cpm)
60	beat per minute (bpm)
1	hertz (Hz)
1	cycle per second (cps)
1	revolution per second (rev/s)this unit
0.001	kilohertz (kHz)
0.000001	megahertz (MHz)
1.00000e-09	gigahertz (GHz)
1.00000e-12	terahertz (THz)
1.00000e-15	petahertz (PHz)

One revolution per second in every angular speed unit

1,296,000	degree per hour (°/h)
86,400	revolution per day (rev/d)
21,600	degree per minute (°/min)
6,283.19	milliradian per second (mrad/s)
3,600	revolution per hour (rev/h)
376.991	radian per minute (rad/min)
360	degree per second (°/s)
60	revolution per minute (rpm)
6.28319	radian per second (rad/s)
1	revolution per second (rev/s)this unit
0.06	thousand revolutions per minute (krpm)

Solvers that use frequency

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