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Two water tanks are connected to each other through a
Chapter 3, Problem 49P(choose chapter or problem)
Two water tanks are connected to each other through a mercery manometer with inclined tubes, as shown in Fig. P3-49. If the pressure difference between the two tanks is 20 kPa, calculate \(a\) and \(\theta\).
Questions & Answers
QUESTION:
Two water tanks are connected to each other through a mercery manometer with inclined tubes, as shown in Fig. P3-49. If the pressure difference between the two tanks is 20 kPa, calculate \(a\) and \(\theta\).
ANSWER:Step 1 of 4
We know that \(\mathrm{SG}_{\mathrm{me}}=13.6\) and \(\rho_{\text{water }}=1000\mathrm{\ kg}/\mathrm{m}^3\). In the given figure we can’t mix both liquids. Hence we consider the pressure at tank A which is moving along the tube by adding or subtracting \(\rho g h\) to reach tank B.
\(P_{B}=P_{A}+\rho_{\text {water }} g a+\rho H_{g} g 2 a-\rho_{\text {water }} g a\)
\(2 \rho H_{g} g a=P_{B}-P_{A}\)