An ideal incompressible fluid flows at 12 m/s in a horizontal pipe.If the pipe widens to twice its original radius,what is the flow speed in the wider section?
A)12 m/s
B)6.0 m/s
C)4.0 m/s
D)3.0 m/s

Question

Quizplus · Accepted Answer

According to the principle of continuity for incompressible fluids, the flow rate must remain constant. If the radius doubles, the cross-sectional area increases by a factor of four (since area is proportional to the square of the radius). Therefore, the flow speed must decrease by a factor of four to maintain the same flow rate, resulting in a speed of 3.0 m/s.

An Ideal Incompressible Fluid Flows at 12 M/s in a Horizontal