mN a pN convertidor - Milinewton a Piconewton

Conversion derivation

Express both mN and pN in the same base unit N (newton), then cancel the shared base unit.

1. 1

   Rewrite mN in the base unit

   $$1\mathrm{mN}=0.001\mathrm{N}$$
2. 2

   Rewrite pN in the base unit

   $$1\mathrm{pN}=1\times 10^{-12}\mathrm{N}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{mN}& =\frac{0.001\cancel{\mathrm{N}}}{1\times 10^{-12}\cancel{\mathrm{N}}}\times 1\mathrm{pN}\\ & =\frac{0.001}{1\times 10^{-12}}\mathrm{pN}\\ & =1\times 10^9\mathrm{pN}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{pN}& =\frac{1\times 10^{-12}\cancel{\mathrm{N}}}{0.001\cancel{\mathrm{N}}}\times 1\mathrm{mN}\\ & =\frac{1\times 10^{-12}}{0.001}\mathrm{mN}\\ & =1\times 10^{-9}\mathrm{mN}\end{array}$$