Sea water of density 1.03 $\times$ 10³ kg/m³ is in streamline flow through a Venturi meter.The pressure difference between the main pipe and the constriction is 20.7 kPa,and the flow velocity in the constriction is 7.32 m/s.The flow velocity in the main pipe is A)2.44 m/s B)3.66 m/s C)7.32 m/s D)14.6 m/s E)29.3 m/s

Question

Quizplus · Accepted Answer

From Bernoulli's equation:

P1 + 1/2ρV1^2 + ρgh1 = P2 + 1/2ρV2^2 + ρgh2

Since the height doesn't change and the pressure difference (P1 - P2) is given, we can solve for the velocity in the main pipe (V1):

V1 = sqrt[(2∆P/ρ) + V2^2]

= sqrt[(2(20.7x10^3 Pa) / 1030 kg/m^3) + (7.32 m/s)^2]

≈ 3.66 m/s

Therefore, the answer is B.

Sea Water of Density 1 ×\times× 103 Kg/m3 Is in Streamline Flow Through a Venturi Meter

Sea Water of Density 1 $\times$ 10³ Kg/m³ Is in Streamline Flow Through a Venturi Meter