Convert Arcseconds to Revolutions (″ to rev)
1 second of arc (″) = 7.716049383 × 10⁻⁷ revolutions (rev). 1 rev = 1296000 ″. Example: 15 ″ = 15 × 7.716049383 × 10⁻⁷ = 0.00001157407407 rev.
Also searched as seconds of arc to rev, seconds of arc in rev, seconds of arc into revolutions, ″ to rev, ″ in revolutions, ″ into revolution, second of arc to revolution, ″ to revolutions converter and how many revolutions in a second of arc.
1 ″ = 7.716049383e-7 rev
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk second of arc to revolution converter to paste a column from Excel.
How to Convert Arcsecond to Revolution
- 1 ″ = 7.716049383 × 10⁻⁷ rev
- 1 rev = 1296000 ″
- Example: convert 15 ″ to rev: 15 ″ = 15 × 7.716049383 × 10⁻⁷ rev = 0.00001157407407 rev
Formula
rev = ″ ÷ 1296000
Derivation from SI units:
- 1″ = (1/3600)° = π/648 000 rad.
- 1 revolution = 2π rad = 360°.
- 1 ″ = 0.000004848136811095 rad ÷ 6.28318530718 rad per rev = 7.716049382716 × 10⁻⁷ rev
Both units are defined exactly, so the factor is exact. Arcsecond definition: second of arc; Revolution definition: revolution.
Worked examples
- A reading of 15 ″ converts to 0.00001157407407 rev.
15 ″ × 7.716049383 × 10⁻⁷ = 0.00001157407407 rev - A value of 60 ″ is 0.0000462962963 rev.
60 ″ × 7.716049383 × 10⁻⁷ = 0.0000462962963 rev
Arcsecond to Revolution conversion table
| Arcseconds (″) | Revolutions (rev) |
|---|---|
| 1 ″ | 7.716049383 × 10⁻⁷ rev |
| 5 ″ | 0.000003858024691 rev |
| 10 ″ | 0.000007716049383 rev |
| 15 ″ | 0.00001157407407 rev |
| 30 ″ | 0.00002314814815 rev |
| 36 ″ | 0.00002777777778 rev |
| 60 ″ | 0.0000462962963 rev |
| 100 ″ | 0.00007716049383 rev |
| 1000 ″ | 0.0007716049383 rev |
| 3600 ″ | 0.002777777778 rev |
Where it's used
Arcseconds are used for astronomy (parallax, star positions), while revolutions appear in rotating machinery (rpm). Both measure plane angle, so the conversion is a fixed factor.
Arcsecond to other angle units
| Conversion | 1 ″ equals |
|---|---|
| second of arc to revolution | 7.716049383 × 10⁻⁷ rev |
| second of arc to radian | 0.000004848136811 rad |
| second of arc to degree | 0.0002777777778 ° |
| second of arc to gradian | 0.0003086419753 gon |
| second of arc to minute of arc | 0.01666666667 ′ |
Frequently asked questions
How many revolutions are in 1 second of arc?
1 ″ = 7.716049383 × 10⁻⁷ rev.
How do I convert seconds of arc to revolutions?
Multiply the value in ″ by 7.716049383 × 10⁻⁷, or divide it by 1296000. For example, 15 ″ × 7.716049383 × 10⁻⁷ = 0.00001157407407 rev.
Is the ″ to rev conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Arcseconds to Revolutions (″ to rev). Retrieved October 25, 2026, from https://scientificconverters.com/angle/arcseconds-to-revolutions/
IEEE
Scientific Converters, "Convert Arcseconds to Revolutions (″ to rev)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/arcseconds-to-revolutions/