Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was 32 m/s,what is its speed in this smaller section?
A)43 m/s
B)37 m/s
C)28 m/s
D)24 m/s

Question

Quizplus · Accepted Answer

According to the principle of continuity for incompressible fluids, the product of cross-sectional area and velocity is constant. If the diameter decreases to 86%, the area decreases to (0.86)^2. Therefore, the velocity increases by a factor of 1/(0.86)^2, resulting in a speed of approximately 43 m/s.

Water Flowing Through a Pipe Suddenly Comes to a Section