High School Geology Equations

High School Geology

EQUATIONS

INFORMATION

$$ \large \rho = \frac{m}{V} $$

$\\ {\rho} = density \hspace{4 pt} (kg \hspace{2 pt} m^{-3}) \\ \textbf{m} = mass \hspace{4 pt} (kg) \\ \textbf{V} = volume \hspace{4 pt} (m^3)$

Rate of Change

$$ \large \mathbb{C} = \frac{\Delta V}{t} $$

$\\ {\mathbb{C}} = rate \hspace{4 pt} of \hspace{4 pt} change \hspace{4 pt} (any \hspace{4 pt} unit)\\ {\Delta V} = change \hspace{4 pt} in \hspace{4 pt} value \hspace{4 pt} (any \hspace{4 pt} unit) \\ \textbf{t} = time \hspace{4 pt} (s)$

Gradient

$$ \large m = \frac{\Delta V}{d} $$

$\\ \textbf{m} = gradient \hspace{4 pt} (any \hspace{4 pt} unit \hspace{4 pt} m^{-1}) \\ {\Delta V} = change \hspace{4 pt} in \hspace{4 pt} value \hspace{4 pt} (any \hspace{4 pt} unit) \\ \textbf{d} = distance \hspace{4 pt} (m) $

Eccentricity

$$ \large \varepsilon = \frac{C}{A} $$

$\\{\varepsilon} = eccentricity \\ \textbf{C} = distance \hspace{4 pt} between \hspace{4 pt} foci \hspace{4 pt} (m) \\ \textbf{A} = length \hspace{4 pt} major \hspace{4 pt} axis \hspace{4 pt} (m)$

Percent Error

$$ \large \delta = \frac{x_{meas} - x_{acc}}{x_{acc}} \hspace{4 pt} \cdot 100\% $$

$\\ {\delta} = percent \hspace{4 pt} error \\ {x_{meas}} = measured \hspace{4 pt} value \\ {x_{acc}} = accepted \hspace{4 pt} value$

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