year a week convertidor - Año a Semana

Conversion derivation

Express both year and week 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 week in the base unit

   $$1\mathrm{week}=604,800\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{year}& =\frac{31,556,952\cancel{\mathrm{s}}}{604,800\cancel{\mathrm{s}}}\times 1\mathrm{week}\\ & =\frac{31,556,952}{604,800}\mathrm{week}\\ & =52.1775\mathrm{week}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{week}& =\frac{604,800\cancel{\mathrm{s}}}{31,556,952\cancel{\mathrm{s}}}\times 1\mathrm{year}\\ & =\frac{604,800}{31,556,952}\mathrm{year}\\ & =0.019165349049\mathrm{year}\end{array}$$