An incompressible fluid flows steadily through a pipe that has a change in diameter.The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s.What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?
A) 0.32 m/s
B) 0.64 m/s
C) 1.28 m/s
D) 2.56 m/s
E) 5.12 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. When the diameter is halved, the area is reduced by a factor of four, so the velocity must increase by a factor of four to maintain the same flow rate. Thus, the speed is 5.12 m/s.

An Incompressible Fluid Flows Steadily Through a Pipe That Has