Diameter of pipe 1 d1=40 cm=0.4 m
C/S Area of pipe 1 A1=4π(d1)2=0.04π m2
Diameter of pipe 2 d2=20 cm=0.2 m
C/S Area of pipe 2 A2=4π(d1)2=0.01π m2
Diameter of pipe 3 d3=10 cm=0.1 m
C/S Area of pipe 3 A3=4π(d3)2=0.0025π m2
Discharge through pipe 1
Q1=A1v1=0.04π m2(2 m/s)
=0.08π m3/s
From continuity Q1=Q2+Q3
Discharge through pipe 3
Q3=A3v3=0.0025π m2(1.5 m/s)
=0.00375π m3/s
Discharge through pipe 2
Q2=Q1−Q3=0.08π m3/s−0.00375π m3/s
=0.07625π m3/s
Velocity at pipe 2
v2=A2Q2=0.01π m20.07625π m3/s=7.625 m/sv2=7.625 m/s
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