year a h convertidor - Año a Hora

Conversion derivation

Express both year and h 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 h in the base unit

   $$1\mathrm{h}=3,600\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{year}& =\frac{31,556,952\cancel{\mathrm{s}}}{3,600\cancel{\mathrm{s}}}\times 1\mathrm{h}\\ & =\frac{31,556,952}{3,600}\mathrm{h}\\ & =8,765.82\mathrm{h}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{h}& =\frac{3,600\cancel{\mathrm{s}}}{31,556,952\cancel{\mathrm{s}}}\times 1\mathrm{year}\\ & =\frac{3,600}{31,556,952}\mathrm{year}\\ & =0.000114079459\mathrm{year}\end{array}$$