a pipe varies uniformly in diameter from 2 meter to 4 meter in incompressible fluid enters the pipe with velocity 16 meter per second what is the velocity of fluid when it leaves the pipe
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Explanation:
Diameter of pipe at first point (d
1
)=20cm=0.2m.
Radius of pipe at first point
(r
1
)=
2
0.2
=0.1m
Velocity of water at first point
(v
1
)=1ms
−1
Diameter of pipe at second point
(d
2
)=5cm=0.05m
Radius of pipe at second point,
(r
2
)=
2
0.05
=0.025m
According to equation of continuity,
A
1
v
1
=A
2
v
2
πr
1
2
v
1
=πr
2
2
v
2
v
2
=(
r
2
r
1
)×v
1
v
2
=(
0.025
0.1
)
2
×1
v
2
=16ms
−1
.
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