Isostacy-Airy hypothesis

Input(s)

h: Mountain Height (m)(\mathrm{m})

ρc\rho_{\mathrm{c}}: Crustal Density (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

ρm\rho_{\mathrm{m}}: Mantle Density (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

Output(s)

r: Root Depth (m)

Formula(s)

r=hρcρmρc\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.

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