Second to Revolution (" to r) Converter & Formula
" × 7.71604938 × 10⁻⁷ = r
Calculation: 1 " × 7.71604938 × 10⁻⁷ = 7.71604938 × 10⁻⁷ r
Common Second to Revolution Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Second (") and Revolution (r).
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 r is equal to 1296000 " (Second) | 1.296 × 10⁶ |
| 5 r is equal to 6480000 " (Second) | 6.48 × 10⁶ |
| 10 r is equal to 1.296 × 10⁷ " (Second) | 1.296 × 10⁷ |
| 50 r is equal to 6.48 × 10⁷ " (Second) | 6.48 × 10⁷ |
| 100 r is equal to 1.296 × 10⁸ " (Second) | 1.296 × 10⁸ |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Second (") and Revolution (r):
Second References:
- One sixtieth of an arcminute in precision astronomical telescope coordinates 1 ″
- Stellar parallax angle baseline defining the astronomical parsec distance (1 arcsecond) 1 ″
Revolution References:
- Single complete 360-degree rotational revolution of a mechanical wheel or shaft 1 rev
How to Convert Second to Revolution
Converting Second (") to Revolution (r) is a core calculation in Plane Angle, which measures the circular arc subtended between two intersecting rays or diverging lines. Because Revolution is a broader physical scale than Second, converting from " to r condenses the numerical figure. It takes 1296000 Second to equal a single Revolution (1 " = 7.716049 × 10⁻⁷ r). To convert any quantity, multiply by 7.716049 × 10⁻⁷ (or divide by 1296000).
Mathematical Conversion Derivation via Coherent SI Base Unit
Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (radian (rad)) without arbitrary rounding:
1 " = 0.000277778 radian (rad)1 r = 360 radian (rad)V(r) = V(") × ( 0.000277778 / 360 ) = V(") × 7.716049 × 10⁻⁷Value in Revolution = Value in Second × 7.71604938 × 10⁻⁷Direct computational formula applied for standard conversion.To convert 120 Second (") to Revolution (r): multiply 120 by 7.716049 × 10⁻⁷ to get 9.259259 × 10⁻⁵ r. At an industrial engineering scale, 1000 " converts to 0.000771605 r.
Inverse check: 1 r = 1296000 ".Understanding Second and Revolution
Second
"A Second (") is a recognized unit for plane angle.
Applications & Practical Context
In practical angle terms, a one sixtieth of an arcminute in precision astronomical telescope coordinates equals 1 ″, a stellar parallax angle baseline defining the astronomical parsec distance (1 arcsecond) equals 1 ″.
A physical magnitude of 1 " corresponds to 0.000277778 rad in standard SI measurement.
1 " = 0.000277778 radRevolution
rA Revolution (r) is a recognized unit for plane angle.
Applications & Practical Context
In practical angle terms, a single complete 360-degree rotational revolution of a mechanical wheel or shaft equals 1 rev.
A physical magnitude of 1 r corresponds to 360 rad in standard SI measurement.
1 r = 360 radDomain Metrology & Engineering Applications
Subtended Circular Arc Ratio (θ = s / r)
Rigorously quantified in laboratory and field settings using electronic digital theodolites, optical polygon autocollimators, and rotary optical angle encoders.
Applied across geodetic triangulation surveys, aerospace satellite gimbal tracking, civil bridge alignment, and telescope mount tracking under international metrology standard ISO 80000-3:2019.
Physical Orders of Magnitude & Laboratory Reference Benchmarks
| Physical Phenomenon / Engineering Reference | Reference Value | Converted to Revolution |
|---|---|---|
| One sixtieth of an arcminute in precision astronomical telescope coordinates | 1 ″ | 7.716049 × 10⁻⁷ r |
| Stellar parallax angle baseline defining the astronomical parsec distance (1 arcsecond) | 1 ″ | 7.716049 × 10⁻⁷ r |
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-3:2019 and the BIPM SI Brochure (9th Edition). Governed by Subtended Circular Arc Ratio (θ = s / r) under ISO 80000 dimensional vector Dimensionless [L / L].
