N a pN convertitore - Newton a Piconewton

Conversion derivation

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

1. 1

   Rewrite N in the base unit

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

   Rewrite pN in the base unit

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

   Forward conversion

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

   Reverse conversion

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