Arcminutes to Revolutions Converter

To convert a measurement in arcminutes to revolutions, multiply the value by 0.000046296296. The conversion factor comes from the relationship between both units and the radian.

For example, to convert 5 ′ to revolutions: 5 × 0.000046296296 = 0.000231481481 rev.

An arcminute is a unit of angle equal to 1/60 of a degree, or 1/21,600 of a full turn. It is written with a prime symbol (′). Like the degree, the arcminute comes from the Babylonian sexagesimal system, which subdivided the degree into 60 parts. It remains standard for expressing small angles in astronomy and precise navigation.

Common uses of arcminutes include: Astronomy — apparent size and position of stars; GPS and latitude/longitude fractions; Vision measurement (visual acuity, minutes of arc); Firearms and optics (minute of angle, MOA).

A revolution (also called a turn or full circle) is one complete rotation, equal to 360 degrees or 2π radians. The revolution is the most intuitive angular unit — one full spin. It is the natural way to count rotations in machinery, and forms the basis of rotational-speed units such as revolutions per minute (RPM).

Common uses of revolutions include: Engine and motor speed (RPM); Counting rotations of wheels, gears, and turbines; Vinyl record and hard-drive spin rates; Describing full turns in everyday language.

Here are some common values converted:

1 ′ = 0.000046296296 rev 5 ′ = 0.000231481481 rev 10 ′ = 0.000462962963 rev 50 ′ = 0.002314814815 rev 100 ′ = 0.00462962963 rev