An incompressible fluid flows through a pipe. The radius of the pipe at point A is twice as large as the radius at point B. The velocity of the fluid at point B is
A) greater than the velocity at point A.
B) less than the velocity at point A.
C) equal to the velocity at point A.
D) not determinable from the information given.

Question

Quizplus · Accepted Answer

The velocity of the fluid at point B is greater than at point A due to the principle of continuity for incompressible fluids, which states that the product of the cross-sectional area and the velocity of the fluid must remain constant throughout its flow. Since the radius at point A is twice as large, its area is four times larger, necessitating a higher velocity at point B to maintain constant flow.

An Incompressible Fluid Flows Through a Pipe