A standard mercury manometer is being used to measure the pressure drop in a piping system containing water at $70F.$ Measurements show that the height change on the manometer, $R_m,$ is $1\mathrm{.}4in.$ The manometer fluid is mercury with a specific gravity $(sp{g}_{\frac{60F}{60F}})$ of $13\mathrm{.}6.$

a$.$ What is the pressure drop in the piping system across the manometer in psi $(\frac{l{b}_f}{i{n}^2})?$ One of the engineers in your group has decided to replace the standard manometer with an inclined manometer $($also using mercury$)$ to obtain a more accurate pressure drop. She asked you to recommend the best angle of incline for the manometer, $.$

b$.$ Calculate $R_1$ in inches for angles of incline of $30,45$ and $60.$

c$.$ Which angle of incline would you recommend for this inclined manometer and why?

d$.$ What are your suggestions for another method for improving the accuracy of the pressure drop measurement?