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.