Isostacy-Airy hypothesis
Input(s)
h: Mountain Height \((\mathrm{m})\)
\(\rho_{\mathrm{c}}\): Crustal Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
\(\rho_{\mathrm{m}}\): Mantle Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
Output(s)
r: Root Depth (m)
Formula(s)
\[
\mathrm{r}=\mathrm{h} * \frac{\rho_{\mathrm{c}}}{\rho_{\mathrm{m}}-\rho_{\mathrm{c}}}
\]
Reference(s)
https://sites.ualberta.ca/ unsworth/UA-classes/210/exams210/210-final-2008-formula-sheet.pdf.