Question

he measured flow rate of water through a 20 mm diameter pipe is 75 L/min. What is the average velocity (in m/s) of water flowing through the pipe

Answer 1

Answer:

Average velocity of water flow through the pipe = 3.98 m/s

Explanation:

Diameter of pipe = 20 mm

Discharge = 75 L/min

We know that

        Discharge = Area x Velocity

      $\texttt{Area of pipe}=\frac{\pi d^2}{4}=\frac{\pi \times (20\times 10^{-3})^2}{4}=3.14\times 10^{-4}m^2$

       Discharge = 75 L/min

                         $=\frac{75\times 10^{-3}}{60}=1.25\times 10^{-3}m^3/s$

Substituting

        $1.25\times 10^{-3}=3.14\times 10^{-4}\times V\\\\V=3.98m/s$

Average velocity of water flow through the pipe = 3.98 m/s