Convert Arcsecond (Second Angle) to Revolution
Unit definitions
Arcsecond (Second Angle)
$\frac{1}{3\,600}$ of a degree is an arcsecond. It is used in places where extremely precise measurements are required. It is said that the US dime is $1$ arcsecond wide from $2.3$ miles away.
Revolution
One revolution is equal to $2\pi$ radians (i.e., a full circle).
How to convert Arcsecond (Second Angle) to Revolution
$$\text{Angle}_{\text{rev}} = \frac{\text{Angle}_{\text{′′}}}{1296000}$$
Examples
Example 1
Convert $40.0\ \text{′′}$ to $\text{rev}$.
$$\text{Angle}_{\text{rev}} = \frac{40.0}{1296000}$$
$$\text{Angle}_{\text{rev}} = 0.000031$$
$$\therefore \ 40.0\ \text{′′} = 0.000031 \ \text{rev}$$
Example 2
Convert $90.0\ \text{′′}$ to $\text{rev}$.
$$\text{Angle}_{\text{rev}} = \frac{90.0}{1296000}$$
$$\text{Angle}_{\text{rev}} = 0.000069$$
$$\therefore \ 90.0\ \text{′′} = 0.000069 \ \text{rev}$$
Example 3
Convert $100.0\ \text{′′}$ to $\text{rev}$.
$$\text{Angle}_{\text{rev}} = \frac{100.0}{1296000}$$
$$\text{Angle}_{\text{rev}} = 0.000077$$
$$\therefore \ 100.0\ \text{′′} = 0.000077 \ \text{rev}$$
Example 4
Convert $140.0\ \text{′′}$ to $\text{rev}$.
$$\text{Angle}_{\text{rev}} = \frac{140.0}{1296000}$$
$$\text{Angle}_{\text{rev}} = 0.000108$$
$$\therefore \ 140.0\ \text{′′} = 0.000108 \ \text{rev}$$
Example 5
Convert $175.0\ \text{′′}$ to $\text{rev}$.
$$\text{Angle}_{\text{rev}} = \frac{175.0}{1296000}$$
$$\text{Angle}_{\text{rev}} = 0.000135$$
$$\therefore \ 175.0\ \text{′′} = 0.000135 \ \text{rev}$$
Arcsecond (Second Angle) to Revolution conversion table
Convert Arcsecond (Second Angle) to other Angle units
| Arcsecond (Second Angle) [′′] | Other unit |
|---|---|
| 1 | 0.000005 Radian [rad] |
| 1 | 0.000278 Degree [°] |
| 1 | 0.016667 Arcminute (Minute Angle) [′] |
| 1 | 0.000485 Centiradian [centiradian] |
| 1 | 0.000309 Grade [grad] |