Answer:
diameter= 1 in
Explanation:
Some authors have developed studies to find the recommended flow rate at the pump outlet, in order to avoid high pressure losses and cavitation.
Assuming that this pump carries water, the recommended speed is 2m / s, so knowing the flow rate = 20gpm we can find the diameter of the pipe.
Q=flow rate=20gpm=0.0012618m^3/s
V=speed=2m/s
A=Area
Q=VA
A=Q/V
[tex]A=\frac{0.0012618m^3/s}{2m/s} =0.0006309m^2=630.2mm^2\\\\[/tex]
Taking into account that the flow is through a circular pipe we can use the equation to find the area of a circle, and then find the diameter
[tex]A=\frac{\pi D^2 }{4} \\D=\sqrt[2]{\frac{4A}{\pi } } =\sqrt{\frac{4(630.8)}{\pi } } =23.34mm[/tex]
the result is 23.34mm, if we find the closest commercial diameter to this value, we find that it is 25.4mm = 1in
