two horizontal pipes of different diameters are connected together by a valve. their diameters are 3 cm and 9 CM water flows at Speed 6 m/s in the first pipe and the pressure in it is 2 × 10^5 N/m². find the water pressure and speed in the second pipe?
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The water pressure and speed in the second pipe is 18 x 10^5 N/m^2 and 0.6 m/s
Explanation:
From the equation of continuity we can say that
A1V1 = A2V2
π (3)^2/6 x 6 = π(9)^2/6 x v
After cancellation:
v = 9 x 6 / 81 = 54/81 = 0.6 m/s
Now using Bernoulli equation.
P1 + ρV1^2/2 = P2+ ρV2^2/2
2 × 10^5 + 10^3 x 36/2 = P2 + 1/2 x 10^3 x 36
36 x 10^8 = P2 + 18 x 10^3
P2 = 36 x 10^8 - 18 x 10^3
P2 = 18 x 10^5 N/m^2
Learn more about Bernoulli equation
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