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 narrow section.
the water speed is the same in both sections of the pipe.
the wide section.

Explanation:

Step1: Apply the principle of continuity

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

Step2: Analyze the relationship between area and speed

If \(A_1>A_2\) (since the pipe goes from wide to narrow), then from \(A_1v_1 = A_2v_2\), we can solve for \(v_2=\frac{A_1}{A_2}v_1\). Since \(\frac{A_1}{A_2}> 1\), \(v_2 > v_1\).

Answer:

The narrow section.