Ideal incompressible fluid flows through a 4.0-cm-diameter pipe at 1.0 m/s.There is a 2.0 cm diameter constriction in the line.What is the speed of the fluid in this constriction?
A)0.25 m/s
B)0.50 m/s
C)2.0 m/s
D)4.0 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. The area of the larger pipe is π(2.0 cm)^2 and the area of the constriction is π(1.0 cm)^2. The velocity in the constriction is (4.0 cm/2.0 cm)^2 * 1.0 m/s = 4.0 m/s.

Ideal Incompressible Fluid Flows Through a 4