A 6cm diameter horizontal pipe gradually narrows to 4cm. Whenwater flows throught this pipe at a certain rate, the guagepressure in these two sections is 32.0kPa and 24kPa respectively.What is the volume rate of flow?

Reggie 2020-12-29 Answered
A 6cm diameter horizontal pipe gradually narrows to 4cm. Whenwater flows throught this pipe at a certain rate, the guagepressure in these two sections is 32.0kPa and 24kPa respectively.What is the volume rate of flow?
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Expert Answer

Tasneem Almond
Answered 2020-12-30 Author has 91 answers

diameters d = 6 cm
d' = 4 cm
radii r=d2=3cm=0.03m
r=d2=2 cm=0.02 m
Gauge pressures P ' = 32 kPa =32×103Pa
P = 24 kPa =24×103Pa
from bernoulli's equation (12)D[v2v2]=PP
(12)D[v2(AvA)2]=PP
(12)D[v2(r2vr2]=PP since Area A=π×r2
where D = density of water =1000kgm3
500[v20.444v2]=8×103Pa
0.5555v2=16
v ' = 5.366 m / s
volume flow rate = A ' v ' =Π×r2×v=6.74×103m4=6.74lit

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