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Ch 14: Fluids and Elasticity

Chapter 14, Problem 14

The container shown in FIGURE EX14.11 is filled with oil. It is open to the atmosphere on the left. a. What is the pressure at point 1?

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Welcome back, everyone. We are making observations about the following vessel here. Now we are told that the vessel is filled with fresh water and that one of the arms is open to the atmosphere and we are tasked with finding what is the pressure at point N before we get started here. I do wish to acknowledge our multiple choice answers. On the left hand side of the screen here, those are going to be the values that we strive for. So without further ado let us begin. Well, what is PN going to be equal to PN is going to be equal to the atmosphere pressure plus the density of water times the acceleration due to gravity times the distance of N away from where the water is resting at. So let's calculate why? First, before diving in here, we see that the water is resting at 60 centimeters and that N is at 40 centimeters, meaning our difference in height is going to be 20 so Y is equal to 20 centimeters. With that being said, let's go ahead and find our pressure at N for atmosphere pressure, you're going to have that it's equal to 101300 plus the density of water which is 1000 times acceleration dude gravity 9.81 times 20. What this gives us is 103,262 pascals or approximately 103 kg pascals corresponding to our final answer. Choice of B Thank you all so much for watching. I hope this video helped. We will see you all in the next one.