How many arcseconds are in one turn?

Exactly 1,296,000 arcseconds equal one turn (full rotation). This follows from: 1 turn = 360 degrees, 1 degree = 60 arcminutes, 1 arcminute = 60 arcseconds, so 360 × 60 × 60 = 1,296,000.

What is a turn in angle measurement?

A turn (also called a revolution or full rotation) is the angle swept by one complete 360-degree rotation. It equals 2π radians, 400 gradians, 21,600 arcminutes, or 1,296,000 arcseconds.

What is an arcsecond?

An arcsecond (symbol ″) is 1/3,600 of a degree, or 1/60 of an arcminute. It is widely used in astronomy and geodesy to express very small angles, such as stellar parallax or angular resolution of telescopes.

How do I convert turns to arcseconds manually?

Multiply the number of turns by 1,296,000. For example, 0.5 turns × 1,296,000 = 648,000 arcseconds (half a rotation).

How does a turn relate to radians?

One turn equals 2π radians (approximately 6.28318). To convert arcseconds to radians, divide by 1,296,000 then multiply by 2π, or equivalently divide by approximately 206,264.806.

Why use arcseconds for precise angles?

Arcseconds allow expressing tiny angular differences without decimals in degrees. One arcsecond is about the angular diameter of a coin seen from 4 km away, making it ideal for astronomy, surveying, and precision optics.

Turns to Arcseconds Converter

Name: Turns to Arcseconds Converter
Availability: InStock
Author: Nham Vu

Enter a value in turns and instantly see the equivalent arcseconds, plus degrees, arcminutes, and radians.

Turns to Arcseconds

Turns (rev)

Arcseconds (″)

Formula: arcseconds = turns × 1,296,000

Arcseconds (″)

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Degrees (°)

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Arcminutes (′)

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Radians (rad)

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Quick Reference

Turns	Arcseconds
0.001 rev	1,296
0.01 rev	12,960
0.25 rev	324,000
0.5 rev	648,000
1 rev	1,296,000
2 rev	2,592,000
10 rev	12,960,000

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Summary

Enter a value in turns and instantly see the equivalent arcseconds, plus degrees, arcminutes, and radians.

How it works

Enter any number of turns in the input field.
The equivalent arcseconds appear instantly.
Read the additional rows to see the same angle in degrees, arcminutes, and radians.
Use the swap button to convert from arcseconds back to turns.
Click any result row's copy icon to copy that value to your clipboard.

Use cases

Convert telescope tracking rotations into arcseconds for astronomical precision.
Calculate arcsecond displacement from a known number of full motor turns.
Cross-check angular measurements when switching between mechanical and optical specs.
Determine fine angular resolution when gearing down from full rotations.
Convert satellite or antenna pointing rotations to arcsecond accuracy.
Understand the relationship between full turns and the very small arcsecond unit.

Frequently Asked Questions

Last updated: 2026-07-26 · Reviewed by Nham Vu