Bernoulli\'s equation is the energy conservation law applied to a fluid system.

Question

Bernoulli's equation is the energy conservation law applied to a fluid system. Consider a round water tube of a shape shown in the above figure. Water flows horizontally from the left to the right as indicated by the arrows. The cross-sectional area on the left is A1 = 12 cm2, and the cross-sectional area on the right is A2 = 3.3 cm2. The speed of water flow on the left is measured to be v1 = 5.1 cm/s. The density of water is 1000 kg/m3. Using the Bernoulli's equation and continuity equation, calculate p1 - p2, the pressure difference between the left and the right. Assume that water is incompressible.

Explanation / Answer

apply bernouli equation: P1 + V1^2/2 + gh1 = P2 + V2^2/2 + gh2...............and continity equation: A1V1 = A2V2..........

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