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AP Physics 1
8.4 Fluids and Conservation Laws
IntermediateMCQMathematicalProportional AnalysisConceptual23.8k
Horizontal pipe branching into two narrower pipes of different radii.
Horizontal pipe branching into two narrower pipes of different radii.
An incompressible, ideal fluid flows steadily through a horizontal pipe (Pipe 1) of radius \(3R\) with speed \(v_1\). The pipe splits at a junction into two narrower horizontal pipes: Pipe 2 of radius \(2R\) with speed \(v_2\), and Pipe 3 of radius \(R\) with speed \(v_3\). The volume flow rate through Pipe 2 is twice the volume flow rate through Pipe 3. Which of the following correctly ranks the fluid speeds \(v_1\), \(v_2\), and \(v_3\)?

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