A 0.3 m diameter pipe carries oil of specific gravity 0.8 at flow velocity of 1.5 m/s and the pressure at a point A is 20 kN/m2 (gauge). If the point A is 3 m above the datum line, calculate the approximate total energy at point A in meters of oil.

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SSC JE Civil 11 Oct 2023 Shift 1 Official Paper - 1
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  1. 5.95 m
  2. 5.25 m
  3. 5.65 m
  4. 6.31 m

Answer (Detailed Solution Below)

Option 3 : 5.65 m
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Detailed Solution

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Concept:

The total energy at a point A (in m) = \(\frac{Pa}{\rho g}+\frac{V^{2}}{2g}\)+z

Where, 

\(\frac{Pa}{\rho g}\)is pressure head

\(\frac{V^{2}}{2g}\) is velocity head.

Calculation:

Given, 

Diameter = 0.3 m

Specific gravity =0.8

Flow velocity = 1.5 m/s 

Pressure at point A = 20 kN/m2 or 20 kPa

Datum head = 3 m

So, The total energy at a point A (in m) = \(\frac{Pa}{\rho g}+\frac{V^{2}}{2g}\)+z 

\(\frac{20*1000}{0.8*1000*9.81 g}+\frac{1.5^{2}}{2*9.81}+3\) 

= 2.54 +0.11 + 3 =5.65 m, which is near to option 3

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