Question

current attempt in progress
in the drawing, water flows from a wide section of a pipe to a narrow section. in which part of the pipe is the volume flow rate the greatest?
the volume flow rate is the same in both sections of the pipe.
the narrow section.
the wide section.

Explanation:

Step1: Apply the equation of continuity

The equation of continuity for incompressible fluid is \(A_1v_1 = A_2v_2\), where \(A\) is the cross - sectional area of the pipe and \(v\) is the speed of the fluid. The volume flow rate \(Q=Av\).

Step2: Analyze the volume flow rate

Since water is incompressible (density \(
ho\) is constant), from the equation of continuity \(Q = Av\) (where \(Q\) is the volume flow rate). For a pipe with different cross - sectional areas \(A_1\) (wide section) and \(A_2\) (narrow section), as long as there is no water added or removed from the pipe (steady flow), the volume flow rate \(Q\) must be the same throughout the pipe. If \(Q\) were different in different sections, water would accumulate or disappear in the pipe, which is not the case for an incompressible fluid in steady - state flow.

Answer:

The volume flow rate is the same in both sections of the pipe.