Degrees Per Second to Revolutions Per Minute (°/s to rpm)

1 degree per second equals 0.1666666667 revolutions per minute (rounded).

1 degree per second = 0.1666666667 revolutions per minute

How to convert degrees per second to revolutions per minute

To convert degrees per second to revolutions per minute, multiply the number of degrees per second by 0.1666666667. The factor is rounded to 10 significant digits. To go the other way, multiply revolutions per minute by 6.

revolutions per minute = degrees per second × 0.1666666667

Example: 10 degrees per second = 1.666666667 revolutions per minute.

About these units

Degree Per Second (°/s)

ScientificCurrent unit

One 360th of a hertz: one full turn in 360 seconds. A measure of rotation rate.

Motion sensors and camera gear tend to report turning speed in degrees per second, a unit that people can picture more readily than radians. Three-axis gyroscopes in phones, tablets and game controllers measure the rate of rotation in roll, pitch and yaw, and the rate is commonly given in these degrees. A full turn is 360 degrees, so a device spinning once each second registers 360 degrees per second.

Converting to frequency is a division by 360. One degree per second is 1/360 hertz, about 0.002778 Hz, the figure used here. In terms of angular velocity it equals pi divided by 180 rad/s, about 0.01745, and 6 degrees per second equals one revolution per minute. Degrees per second are not an SI unit, though the degree itself is accepted for use alongside the SI.

1 degree per second = 0.002777777778 hertz (approximately).

Sources: Wikipedia: Gyroscope; Wikipedia: Angular velocity; Wikipedia: Revolutions per minute

Revolution Per Minute (rpm)

Metric (SI)Current unit

One 60th of a hertz. The unit for engine, motor and turntable speeds.

Records gave rpm its fame. The 78 rpm speed was not chosen for a clear engineering reason; Wikipedia says it apparently happened to be the speed of one of the early machines, and the Gramophone Company formally set it as a recording standard in 1912. Columbia unveiled the 33 and a third rpm LP on 21 June 1948, and RCA Victor released the 45 rpm single in February 1949, starting a period called the War of the Speeds.

One rpm equals one sixtieth of a hertz, so a disc at 60 rpm turns at 1 Hz. The SI does not recognise rpm as a unit, preferring hertz or radians per second, and r/min is the usual symbol in standards. Typical examples are a modern car engine idling at about 750 to 900 rpm, consumer hard drives at 7,500 to 10,000 rpm, power-generation turbines at 3,000 or 3,600 rpm, and uranium centrifuges of the Zippe type at 100,000 rpm or more.

1 revolution per minute = 0.01666666667 hertz (approximately).

Sources: Wikipedia: Revolutions per minute; Wikipedia: Phonograph record

Related conversions

See all frequency units.