Turn to Arcsecond Converter
Conversion Formula
Unit Description
Turn (turn)
Definition
A turn is a unit of angular measurement representing one complete rotation or revolution, equal to 360 degrees or 2π radians. It represents the most fundamental concept of rotational measurement.
History
The concept of a complete turn or revolution has been understood since ancient times, but its formal use as a unit of measurement became more common in modern mathematics and engineering. It provides an intuitive way to express rotational quantities without conversion factors.
Current Use
Turns are used in mechanical engineering for describing rotational speed (revolutions per minute), in computer graphics for rotation transformations, and in some mathematical contexts where full rotations are more natural than degrees or radians. They're also used in describing gear ratios and motor specifications.
Arcsecond (″)
Definition
An arcsecond (″) is a unit of angular measurement equal to 1/60 of an arcminute or 1/3600 of a degree. It represents extremely fine angular precision, essential for high-precision measurements.
History
The arcsecond follows from the continued subdivision of the Babylonian system, where arcminutes were further divided into 60 arcseconds. The term comes from 'pars minuta secunda' meaning 'second small part'. This level of precision became crucial with the development of telescopic astronomy in the 17th century.
Current Use
Arcseconds are critical in professional astronomy for measuring stellar positions, parallax, and proper motion. They're used in satellite navigation systems, precision surveying, telescope specifications, and astrometry. The Hubble Space Telescope, for example, has angular resolution measured in arcseconds.
Conversion Table
Turn(turn) | Arcsecond(″) |
---|---|
1 | 1.296e+6 |
2 | 2.592e+6 |
3 | 3.888e+6 |
4 | 5.184e+6 |
5 | 6.48e+6 |
6 | 7.776e+6 |
7 | 9.072e+6 |
8 | 1.0368e+7 |
9 | 1.1664e+7 |
10 | 1.296e+7 |
Conversion Examples
Convert 1 Turn to Arcsecond
- Conversion Formula: ″ = turn × (360 × 3600)
- Calculation: 1turn × (360 × 3600) = 1.296e+6″
Convert 10 Turn to Arcsecond
- Conversion Formula: ″ = turn × (360 × 3600)
- Calculation: 10turn × (360 × 3600) = 1.296e+7″
Convert 100 Turn to Arcsecond
- Conversion Formula: ″ = turn × (360 × 3600)
- Calculation: 100turn × (360 × 3600) = 1.296e+8″
Convert 1,000 Turn to Arcsecond
- Conversion Formula: ″ = turn × (360 × 3600)
- Calculation: 1,000turn × (360 × 3600) = 1.296e+9″