How to convert arcseconds to revolutions
To convert a measurement in arcseconds to revolutions, multiply the value by 0.000000771605. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ″ to revolutions: 5 × 0.000000771605 = 0.000003858025 rev.
What is a arcsecond?
An arcsecond is a unit of angle equal to 1/60 of an arcminute, 1/3,600 of a degree, or 1/1,296,000 of a full turn. It is written with a double-prime symbol (″). The arcsecond continues the Babylonian sexagesimal subdivision one step further and became essential in astronomy, where stellar parallaxes are measured in fractions of an arcsecond (the parsec is defined from it).
Common uses of arcseconds include: Stellar parallax and astrometry; Telescope resolution and seeing conditions; High-precision surveying and geodesy; Satellite and spacecraft pointing accuracy.
What is a revolution?
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.
Arcseconds to revolutions worked examples
Here are some common values converted:
1 ″ = 0.000000771605 rev 5 ″ = 0.000003858025 rev 10 ″ = 0.000007716049 rev 50 ″ = 0.000038580247 rev 100 ″ = 0.000077160494 rev
Frequently asked questions
How many revolutions are in one arcsecond?
One arcsecond (″) equals 0.000000771605 revolutions (rev). Multiply any value in arcseconds by 0.000000771605 to convert to revolutions.
How do I convert arcseconds to revolutions?
Multiply the value in arcseconds by 0.000000771605. For example, 5 ″ × 0.000000771605 = 0.000003858025 rev.
How do I convert revolutions to arcseconds?
Multiply the value in revolutions by 1,296,000, or divide by 0.000000771605. Use the swap button on the converter above to reverse the direction.
Is the arcsecond to revolution conversion exact?
Angle conversions are exact. Degrees, gradians and revolutions are defined as exact fractions of a full turn (2π radians).
What is the formula for arcseconds to revolutions?
The formula is: rev = ″ × 0.000000771605. This comes from the definition of both units relative to the radian.