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current attempt in progress water flows from a wide section of a pipe t…

Question

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

Explanation:

Step1: Apply the principle of continuity

The principle of continuity for incompressible fluids is \(A_1v_1 = A_2v_2\), where \(A\) is the cross - sectional area of the pipe and \(v\) is the fluid speed.

Step2: Analyze the relationship between area and speed

Since \(A_1v_1 = A_2v_2\), we can express \(v_2=\frac{A_1}{A_2}v_1\). If \(A_1>A_2\) (wide section to narrow section), then \(v_2 > v_1\).

Answer:

The narrow section.