A horizontal pipe carries a smoothly flowing liquid with density 1.35 Solution F
ID: 1913961 • Letter: A
Question
A horizontal pipe carries a smoothly flowing liquid with density 1.35Explanation / Answer
Flow rate no doubt is same though out the pipe. But I think the question is about flow speed that is the velocity of the flow, which change. By continuity equation: Av = constant => more the area less the speed: location 1 has more area so less speed. flow rate = Av (but i don't think the question was about flow rate, i thinks its about flow speed = v) using Bernoulli's equation : P + 0.5dv^2 + dgh = constant since the pipe is level we can take h in the constant as well P + 0.5d v^2 = constant => more the velocity less the pressure. 1 has low velocity so it has higher pressure. P1 + 1/2 d v1^2 = P2 + 1/2 d v2^2 P2 - P1 = 0.5*1000*(v1^2-v2^2) = 500* (( (1.27/(pi*(.685/2)^2))^2-( (1.27/(pi*(.399/2)^2))^2)=-45645 Pa so P1 has a higher pressure
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