Water is flowing through a pipe with a constriction. The diameter of the narrow section is one-third the diameter of the wide section. If the velocity of the incompressible fluid is 3.6 m/s in the narrow section, then what is the velocity of the fluid in the wide section?
A) 2.00 m/s
B) 0.80 m/s
C) 1.4 m/s
D) 1.0 m/s
E) 0.40 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 of the narrow section is one-third of the wide section, the area is one-ninth. Therefore, the velocity in the wide section is 3.6 m/s divided by 9, which is 0.40 m/s.

Water Is Flowing Through a Pipe with a Constriction