Question
Download Solution PDFDuring designing water supply line of a housing complex, two distribution pipes of different diameter 2 cm , and 6 cm respectively are connected with the main supply pipe line. The velocity of flow of water in the pipe of 2 cm diameter is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The principle used here is the continuity equation, which states that for an incompressible fluid,
A1 × V1 = A2 × V2,
where A is cross-sectional area and V is velocity.
Calculation:
Given data: d1 = 2 cm and d2 = 6 cm
The cross-sectional area of a pipe is proportional to the square of the diameter: A ∝ d2
The ratio of diameters: (d2/ d1) = 6 / 2 = 3
V1 / V2 = A2 / A1 = 32 = 9
Therefore, the velocity in the smaller pipe (2 cm) is 9 times greater than in the larger pipe (6 cm).
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