A pipe varies uniformly in diameter from 2m to 4m. An incompressible fluid enters the pipe with velocity 16 m/s. What is velocity of fluid when it leaves the pipe?
Correct answer: D. 4 m/s
- A. 64 m/s
- B. 32 m/s
- C. 8 m/s
- D. 4 m/s
Explanation
Given that,d1=2md2=4mV1=16m/sV2=𝑥From flow rate,A1V1 =A2V2(πr2)1V1=(πr2)2V2(d12/4)V1=(d22/4)V2By substituting the given values,𝑥= V2 = 4m/s
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About Equation of Continuity
The equation of continuity expresses conservation of mass in fluid flow. For steady incompressible flow, Av remains constant, so fluid speed increases when the cross-sectional area decreases; for compressible flow, ρAv is constant. This relation describes flow rate and area-speed changes without including pressure effects from Bernoulli’s equation.
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