inch 에서 nm 변환기 - 인치 에서 나노미터

Conversion derivation

Express both inch and nm in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite inch in the base unit

   $$1\mathrm{inch}=0.0254\mathrm{m}$$
2. 2

   Rewrite nm in the base unit

   $$1\mathrm{nm}=1\times 10^{-9}\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{inch}& =\frac{0.0254\cancel{\mathrm{m}}}{1\times 10^{-9}\cancel{\mathrm{m}}}\times 1\mathrm{nm}\\ & =\frac{0.0254}{1\times 10^{-9}}\mathrm{nm}\\ & =25,400,000\mathrm{nm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{nm}& =\frac{1\times 10^{-9}\cancel{\mathrm{m}}}{0.0254\cancel{\mathrm{m}}}\times 1\mathrm{inch}\\ & =\frac{1\times 10^{-9}}{0.0254}\mathrm{inch}\\ & =3.93700787\times 10^{-8}\mathrm{inch}\end{array}$$