Mechanical Properties of Fluids
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Question : 16
Total: 31
The cylindrical tube of a spray pump has a cross-section of 8.0 c m 2 on one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min – 1 , what is the speed of ejection of the liquid through the holes?
Solution:
Here, cross-section of the tube, a 1 = 8.0 c m 2 = 8.0 × 10 − 4 m 2
The speed of liquid in the tube,v 1 = 1.5 m m i n − 1 =
m s − 1
= 0.025 m s − 1
diameter of a hole,D = 1.0 m m = 10 − 3 m
Therefore, cross-section of a hole,
=
× ( 10 − 3 ) 2
=
× 10 − 6 m 2
Therefore, total cross-section of 40 holes,a 2 =
× 10 − 6 × 40 m 2
Ifv 2 is the speed of ejection of the liquid through the holes, then a 1 v 1 = a 2 v 2
or v 2 =
=
= 0.637 m s − 1 .
The speed of liquid in the tube,
diameter of a hole,
Therefore, cross-section of a hole,
Therefore, total cross-section of 40 holes,
If
or
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