The diameter of a main pipe is 30 cm and it branches into two pipes | Civil UPSC ESE Exam Solution 2021

A network of pipes conveying water to a city has the following specifications. The diameter of a main pipe is 30 cm and it branches into two pipes...

Civil UPSC ESE Exam Solution 2021

UPSC ESE Exam Solution 2021 for Civil Engineering UPSC ESE 2021 GS Paper 1 download exam paper from telegram https://telegram.me/civil_experiences

A network of pipes conveying water to a city has the following specifications. The diameter of a main pipe is 30 cm and it branches into two pipes of diameters 20 cm and 15 cm respectively. If the average velocity in the main pipe is 2.5 m/s and the average velocity in the 20 cm pipe is measured as 2 m/s, what is the velocity in the 15 cm pipe?





ANSWER= [D] 6.44 m/s

Detailed Explanation

From the continuity equation

D12/4)V1 = D22/4)VD32/4)V3

👉 D12V1 = D22VD32V3

👉 V= (D12V1 - D22V2)/D32 = (D1/D3)2 V1 - (D2/D3)2 V2

👉 V= (30/15)2 × 2.5 - (20/15)2 × 2

👉 V3 = 4 × 2.5 - (4/2.25) × 2 = 6.44 m/s

👉 V3 = 6.44 m/s


Civil UPSC ESE Exam Solution 2021 | A network of pipes conveying water to a city has the following specifications. The diameter of a main pipe is 30 cm and it branches into two pipes of diameters 20 cm and 15 cm respectively. If the average velocity in the main pipe is 2.5 m/s and the average velocity in the 20 cm pipe is measured as 2 m/s, what is the velocity in the 15 cm pipe?
Civil UPSC ESE Exam Solution 2021

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