year a ns convertitore - Anno a Nanosecondo

Conversion derivation

Express both year and ns in the same base unit s (second), then cancel the shared base unit.

1. 1

   Rewrite year in the base unit

   $$1\mathrm{year}=31,556,952\mathrm{s}$$
2. 2

   Rewrite ns in the base unit

   $$1\mathrm{ns}=1\times 10^{-9}\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{year}& =\frac{31,556,952\cancel{\mathrm{s}}}{1\times 10^{-9}\cancel{\mathrm{s}}}\times 1\mathrm{ns}\\ & =\frac{31,556,952}{1\times 10^{-9}}\mathrm{ns}\\ & =3.1556952\times 10^{16}\mathrm{ns}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ns}& =\frac{1\times 10^{-9}\cancel{\mathrm{s}}}{31,556,952\cancel{\mathrm{s}}}\times 1\mathrm{year}\\ & =\frac{1\times 10^{-9}}{31,556,952}\mathrm{year}\\ & =3.16887385\times 10^{-17}\mathrm{year}\end{array}$$