Problem $01$

A manometer is used to measure the pressure difference between two pipes A and $B$ filled with water at pressure $p_A$ and $p_B,$ respectively. The manometer contains mercury and oil as depicted below. Note: ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1\mathrm{.}94$slu$\frac{g}{f}{t}^3,{}_{Hg}=26\mathrm{.}38$slu$\frac{g}{f}{t}^3,{}_{\text{o}\text{i}\text{l}}=1\mathrm{.}55$slu$\frac{g}{f}{t}^3.$

Find the pressure difference $p_A-p_B$ in $l\frac{b}{i}{n}^2.$