Problem

Water flows through the pipe contraction shown at a rate of $\backslash (1\backslash$mathrm$\{$ft$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash ).$ Calculate the differential manometer reading in inches of mercury, assuming no energy loss in the flow. Be sure to give the correct direction of the manometer reading.

ANSWER WITH ALL STEPS!!!

Mercury has a specific gravity of approximately $13\mathrm{.}6.$

Step $1$

Write the simplified energy balance equation. Start with the general equation $($applies to any situation$),$ and

show work simplifying as much as you can but don't substitute in numbers yet.

Step $2$

Write the simplified mass balance equation. What information does this give you that will help you simplify

and$/$or solve the energy balance equation?

Step $3$

$($Do not substitute in numbers yet$)$ Solve for the "Pressure difference". That is$,$ the left$-$hand side of the

equation should be $"$ P$\_(2)-$P$\_(1)"=,$ and the right$-$hand side of the equation should be symbols for which you know

what numbers to substitute $($but don't substitute in the numbers yet$).$

Step $4$

Solve for the height difference in the manometer. At which position is the manometer fluid higher? At which

position is the pressure greater?