# Height

Written by Jerry Ratzlaff on . Posted in Geometry

## Height formulas

$$\large{ h_l = \frac{ p_b \; - \; p_t }{ \rho \; g } }$$     (Pascal's Law

$$\large{ h = \frac {PE} {m \; g} }$$     (Potential Energy)

Symbol English Metric
$$\large{ h }$$ = height $$\large{ ft }$$ $$\large{ m }$$
$$\large{ h_l }$$ = height of depth of the liquid column $$\large{ ft }$$ $$\large{ m }$$
$$\large{ \rho }$$   (Greek symbol rho) = density $$\large{\frac{lbm}{ft^3}}$$  $$\large{\frac{kg}{m^3}}$$
$$\large{ g }$$ = gravitational acceleration  $$\large{\frac{ft}{sec^2}}$$ $$\large{\frac{m}{s^2}}$$
$$\large{ m }$$ = mass  $$\large{lbm}$$ $$\large{kg}$$
$$\large{ PE }$$ = potential energy  $$\large{ lbf-ft }$$ $$\large{ J }$$
$$\large{ p_b }$$ = pressure at bottom of column $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ p_t }$$ = pressure at top of column  $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$