Question

The pipe shows the volume flow rate of an ideal liquid at a certain time and its direction. What is the value of $Q$ in $\text{m}{}^3\text{/s}$?(Assume steady state and equal area of cross section at each opening)

• A. $10\times {10}^{-6}$
• B. $11\times {10}^{-6}$
• C. $13\times {10}^{-6}$
• D. $18\times {10}^{-6}$

Answer 1

The correct option is C $13\times {10}^{-6}$

$(\sum Q{)}_{\text{inflow}}=(\sum Q{)}_{\text{outflow}}$
$\therefore (4\times {10}^{-6})+Q+(4\times {10}^{-6})$
$=(8\times {10}^{-6})+(2\times {10}^{-6})+(5\times {10}^{-6})+(6\times {10}^{-4})$
$\therefore Q=13\times {10}^{-6}\text{m}{}^3\text{/s}$