Classical Mechanics

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Bernoulli's Equation: Pipe With Changing Diameter and Height


Consider the pipe shown below. Water ($\rho = 1000\:kg/m^3$) enters the pipe at the left with a speed of $v = 2\:m/s$. At position B the diameter of the pipe is half of that of position A, though the diameters of the pipe at positions A, C and D are all equal. At position D the pipe is $h = 2\:m$ higher than at the other three positions.

Suzanne Taylor. Created for Copyright 2016

Which option below gives the correct ranking of the locations in the pipe from the location with the highest pressure to that with the lowest pressure?


$A = B = C > D$


$A = C > B > D$


$A = C > D > B$


$A > B > C > D$