A non-viscous incompressible fluid is pumped steadily up a vertical pipe with uniform cross section.The difference in pressure between points at the top and bottom:
A)is the same as it would be if the fluid were motionless
B)is greater at higher flow rates than at lower flow rates
C)is less at higher flow rates than at lower flow rates
D)does not depend on the density of the fluid
E)is zero

Question

Quizplus · Accepted Answer

For a non-viscous, incompressible fluid, the pressure difference between two points in a vertical pipe is determined by the hydrostatic pressure, which depends only on the density of the fluid, the acceleration due to gravity, and the height difference between the two points. This is described by the equation ΔP = ρgh, where ΔP is the pressure difference, ρ is the fluid density, g is the acceleration due to gravity, and h is the height difference. This relationship holds regardless of whether the fluid is moving or stationary, hence the pressure difference would be the same as if the fluid were motionless.

A Non-Viscous Incompressible Fluid Is Pumped Steadily Up a Vertical