water at 20c discharges from a stroke tank through a 150m length of horizontal pipe. The pipe is smooth and has a diameter of 75mm. The entrance of the pipe is square edged. What is depth of water needed to produce a volumetric flow rate of .1m3/s

Respuesta :

Answer:

The dept of the water needed is 26.11m

Explanation:

Given the following parameters:

Length of the pipe = [tex]150m[/tex]

Diameter of the pipe = [tex]75mm = 0.75m[/tex]

Volumetric flow rate [tex]1m^{3}/s[/tex]

Knowing that:

Volumetric flowrate [tex]= area (A) * Velocity(V)[/tex]

==> [tex]0.1 = A*V[/tex]                              *Knowing that [tex]V = \sqrt{2gh}[/tex]

==> [tex]0.1 = \frac{\pi }{4}* (0.075)^{2} * \sqrt{2gh}[/tex]

==> [tex]h = 26.11m[/tex]

Hence, the dept of water needed to produce a volumetric flow rate of [tex]1m^{3}/s[/tex] is 26.11m.