Question

In an article on measuring flows from pipes, the author calculated a volumetric flow rate, \(q=80.8\left(\mathrm{~m}^{3} / \mathrm{s}\right)\) using the formula:

\(q=C A_{1} \sqrt{\frac{2 g V\left(p_{1}-p_{2}\right)}{\left(1-\left(\frac{A_{1}}{A_{2}}\right)^{2}\right)}}\)

\(\begin{array}{ccc}q & \text { volumetric flow rate } & m^{3} / s \\ C & \text { dimensionless coefficient } & 0.6 \\ A_{1} & \text { cross-sectional area } & 1.0 \mathrm{~m}^{2} \\ A_{2} & \text { cross-sectional area } & 2.0 \mathrm{~m}^{2} \\ V & \text { specific volume } & 0.001 \mathrm{~m}^{3} / \mathrm{kg} \\ p & \text { pressure } & k P a\left[1 \mathrm{~Pa}=1 \mathrm{~N} / \mathrm{m}^{2}\right] \\ \left(p_{1}-p_{2}\right) & \text { pressure difference } & 50 \mathrm{kPa} \\ g & \text { acceleration due to gravity } & 9.80 \mathrm{~m} / \mathrm{s}^{2}\end{array}\)

(a) Was the calculation correct? (Answer yes or no and show all calculations supporting your answer).

(b) Report your answer using units. Show ALL work.

Answer 1