Answer:
Q = 86.38 gpm
Explanation:
pressure in house = 135 psig
1 psig = 6894.76 pa
= 135 × 6894.76 pa = 930792 pa
P = ρ g h
[tex]h =\dfrac{P}{\rho g}[/tex]
[tex]h =\dfrac{930792}{1000\times 9.81}[/tex]
h = 94.88 m
velocity at the exit of nozzle
[tex]v=\sqrt{2gh} \\v=\sqrt{2\times 9.81 \times 94.88}\\v = 43.15 m/s[/tex]
discharge (Q) = Av
= [tex]\dfrac{\pi}{4}d^2\times v[/tex]
= [tex]\dfrac{\pi}{4}0.0127^2\times43.15\\5.45\times 10^{-3}[/tex]
Q = 86.38 gpm
