Convert Revolution to Arcsecond (Second Angle)
Unit definitions
Revolution
One revolution is equal to $2\pi$ radians (i.e., a full circle).
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.
How to convert Revolution to Arcsecond (Second Angle)
$$\text{Angle}_{\text{′′}} = \text{Angle}_{\text{rev}} \cdot 1296000$$
Examples
Example 1
Convert $35.0\ \text{rev}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 35.0 \cdot 1296000$$
$$\text{Angle}_{\text{′′}} = 45360000$$
$$\therefore \ 35.0\ \text{rev} = 45360000 \ \text{′′}$$
Example 2
Convert $90.0\ \text{rev}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 90.0 \cdot 1296000$$
$$\text{Angle}_{\text{′′}} = 116640000$$
$$\therefore \ 90.0\ \text{rev} = 116640000 \ \text{′′}$$
Example 3
Convert $120.0\ \text{rev}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 120.0 \cdot 1296000$$
$$\text{Angle}_{\text{′′}} = 155520000$$
$$\therefore \ 120.0\ \text{rev} = 155520000 \ \text{′′}$$
Example 4
Convert $135.0\ \text{rev}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 135.0 \cdot 1296000$$
$$\text{Angle}_{\text{′′}} = 174960000$$
$$\therefore \ 135.0\ \text{rev} = 174960000 \ \text{′′}$$
Example 5
Convert $175.0\ \text{rev}$ to $\text{′′}$.
$$\text{Angle}_{\text{′′}} = 175.0 \cdot 1296000$$
$$\text{Angle}_{\text{′′}} = 226800000$$
$$\therefore \ 175.0\ \text{rev} = 226800000 \ \text{′′}$$
Revolution to Arcsecond (Second Angle) conversion table
Convert Revolution to other Angle units
| Revolution [rev] | Other unit |
|---|---|
| 1 | 6.283185 Radian [rad] |
| 1 | 3.6E+2 Degree [°] |
| 1 | 2.16E+4 Arcminute (Minute Angle) [′] |
| 1 | 628.318531 Centiradian [centiradian] |
| 1 | 4E+2 Grade [grad] |