In a stream line steady flow, two points A and B on a stream line are 1 m apart and the flow velocity varies uniformly from 2 m/s to 5 m/s. What is the acceleration of fluid at B?

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  1. 3 m/s2
  2. 6 m/s2
  3. 9m/s2
  4. 15 m/s2

Answer (Detailed Solution Below)

Option 4 : 15 m/s2
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Concept:

For flow along a stream line acceleration is given as

If V = f(s, t)

Then, 

 

For steady flow 

Then  

Since V = f(s) only for steady flow therefore 

Therefore 

Calculation:

Given, VA = 2 m/s, VB = 5 m/s, and distance s = 1 m

So acceleration of fluid at B is

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