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
This question appeared on the UHS MDCAT 2008 paper, which you can sit online with every answer explained.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
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.
Practise Fluid Dynamics
363 free Fluid Dynamics MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Equation of Continuity questions
A rocket is made to travel at a high speed by making the ejection nozzle narrow. This phenomenon is based on
In a cement factory, a viscous liquid flows through a pipe with an area of cross-section 6 m2at a velocity of 8 m/s. When this fluid moves forward, the area of cross-section of the pipe decreases to 4 m2 The velocity of the liquid will now be
An industrial liquid flows through a section of a pipe with an area of cross-section 2 m2 at a velocity of 10 m/s. If at a certain section the area of cross-section decreases to 1 m2, then the velocity of the liquid will be
Conservation of mass of fluid flow leads to:
An Incompressible liquid flow along the pipe with area of cross section A1 and A2 with velocities V1 and V2 respectively. The ratio of the speeds V1 / V2 is:
Water flows from a 6.0cm diameter pipe into 8.0cm diameter pipe. The speed in the 6.0cm pipe is 5.0m/s. the speed in the 8cm pipe is: