Fluid Mechanics: Fluid in a Tube

1. Jan 21, 2014

rdelane1

1. The problem statement, all variables and given/known data

The problem depicts a tube shaped like a "U". The arms of the tube are 0.3m in height and the horizontal part of the tube is 0.6m long. The left arm of the tube is open while the right arm of the tube is closed. The problem states that the liquid in the tube is of density 2.40 g/cm^3. The problem then states that the whole system is accelerated to the left at 2.5m/s^2. The problem asks for the pressure at point A, in the bottom right-hand corner of the tube.

2. Relevant equations

I am assuming that one component of the pressure at point A is due to hydrostatic pressure, so p=ρgh. The problem doesn't mention atmospheric pressure so I am assuming the problem is in terms of gage pressure.

3. The attempt at a solution

So far the only thing I can come up with is to calculate the hydrostatic pressure in the vertical and horizontal direction, since acceleration is like acceleration due to gravity in the vertical direction. Adding the two together I got approx. 10.7kpa which seems reasonable.

Last edited: Jan 22, 2014