week vers ns convertisseur - Semaine vers Nanoseconde

Conversion derivation

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

1. 1

   Rewrite week in the base unit

   $$1\mathrm{week}=604,800\mathrm{s}$$
2. 2

   Rewrite ns in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{week}& =\frac{604,800\cancel{\mathrm{s}}}{1\times 10^{-9}\cancel{\mathrm{s}}}\times 1\mathrm{ns}\\ & =\frac{604,800}{1\times 10^{-9}}\mathrm{ns}\\ & =6.048\times 10^{14}\mathrm{ns}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ns}& =\frac{1\times 10^{-9}\cancel{\mathrm{s}}}{604,800\cancel{\mathrm{s}}}\times 1\mathrm{week}\\ & =\frac{1\times 10^{-9}}{604,800}\mathrm{week}\\ & =1.65343915\times 10^{-15}\mathrm{week}\end{array}$$