Revolutions per minute

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Revolutions per minute
Mitsubishi Carisma 1.8 GDI Tacho (cropped).jpg
A car's tachometer marked in multiples of a thousand rpm.
General information
Unit ofRotational speed, rotational frequency
Symbolrpm,r/min
Conversions
1 rpm in ...... is equal to ...
   SI accepted units   1 min−1
   SI units   1/60 Hz = 0.016 Hz
   SI base units   0.016 s−1

Revolutions per minute (abbreviated rpm, RPM, rev/min, r/min, or r⋅min−1) is a unit of rotational speed (or rotational frequency) for rotating machines. One revolution per minute is equivalent to 1/60 hertz.

Contents

Standards

ISO 80000-3:2019 defines a physical quantity called rotation (or number of revolutions), dimensionless, whose instantaneous rate of change is called rotational frequency (or rate of rotation), with units of reciprocal seconds (s−1). [1]

A related but distinct quantity for describing rotation is angular frequency (or angular speed, the magnitude of angular velocity), for which the SI unit is the radian per second (rad/s).

Although they have the same dimensions (reciprocal time) and base unit (s−1), the hertz (Hz) and radians per second (rad/s) are special names used to express two different but proportional ISQ quantities: frequency and angular frequency, respectively. The conversions between a frequency f and an angular frequency ω are:

Thus a disc rotating at 60 rpm is said to have an angular speed of 2π rad/s and a rotation frequency of 1 Hz.

The International System of Units (SI) does not recognize rpm as a unit. It defines units of angular frequency and angular velocity as rad s−1, and units of frequency as Hz, equal to s−1.

Examples

See also

Notes

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    References

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