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 36m/s, what is its speed in this smaller section?
A) 49 m/s
B) 42 m/s
C) 31 m/s
D) 27 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 new speed of approximately 49 m/s.

Water Flowing Through a Pipe Suddenly Comes to a Section