Seconds of Arc to Revolutions Converter
Convert seconds of arc (″) to revolutions (turns) (rev), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 ″ = 7.71604938272e-7 rev
- 1 × 7.71604938272e-7 = 7.71604938272e-7 rev
How to convert seconds of arc to revolutions
1 rev = 1,296,000 ″, so divide by 1,296,000 to go from seconds of arc to revolutions (turns) (1 ″ = 7.71604938272 × 10⁻⁷ rev).
rev = ″ ÷ 1,296,000 ″ = rev × 1,296,000
Worked example:
1 ″ = 7.71604938272e-7 rev 5 × 7.71604938272e-7 = 3.85802469136e-6 rev
Seconds of Arc to revolutions table
| Seconds of Arc | Revolutions |
|---|---|
| 1 ″ | 7.71604938272 × 10⁻⁷ rev |
| 2 ″ | 1.54320987654 × 10⁻⁶ rev |
| 3 ″ | 2.31481481481 × 10⁻⁶ rev |
| 4 ″ | 3.08641975309 × 10⁻⁶ rev |
| 5 ″ | 3.85802469136 × 10⁻⁶ rev |
| 6 ″ | 4.62962962963 × 10⁻⁶ rev |
| 7 ″ | 5.4012345679 × 10⁻⁶ rev |
| 8 ″ | 6.17283950617 × 10⁻⁶ rev |
| 9 ″ | 6.94444444444 × 10⁻⁶ rev |
| 10 ″ | 7.71604938272 × 10⁻⁶ rev |
| 15 ″ | 1.15740740741 × 10⁻⁵ rev |
| 20 ″ | 1.54320987654 × 10⁻⁵ rev |
| 25 ″ | 1.92901234568 × 10⁻⁵ rev |
| 30 ″ | 2.31481481481 × 10⁻⁵ rev |
| 40 ″ | 3.08641975309 × 10⁻⁵ rev |
| 50 ″ | 3.85802469136 × 10⁻⁵ rev |
| 75 ″ | 5.78703703704 × 10⁻⁵ rev |
| 100 ″ | 7.71604938272 × 10⁻⁵ rev |
| 250 ″ | 0.000192901234568 rev |
| 500 ″ | 0.000385802469136 rev |
| 1000 ″ | 0.000771604938272 rev |
About the units
- Seconds of Arc (″)
- Seconds of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Revolutions (rev)
- Revolutions (turns), a specialised unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.