posted by john on .
an ideal fluid flows through a pipe hat runs up an incline and gradually rises to a height H. The cross sectional area of the pipe is uniform. compared with the flow at the bottom of the incline, the flow at the top is a) moving slower at lower pressure b) moving slower at higher pressure c) moving at the same speed at lower pressure, d) moving at the same speed at higher pressure e) moving faster at a lower pressure
If the fluid is not compressible, the same amount flows through every part of the pipe during every second.
In other words if the area is constant, the speed is constant.
The pressure is of course higher at the bottom due to the weight of fluid in the pipe, so lower at the top.
If you know the equation:
P + rho g h + (1/2) rho v^2 = constant