Chris Todd Johnson - Lab 8

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Asheville-Buncombe Technical Community College *

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151

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Mechanical Engineering

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Feb 20, 2024

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docx

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5

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How investigating a simulated fluid pressure water tank proves the relationship between the total pressure of a fluid and depth Introduction: The data collected while observing a simulated fluid pressure water tank allows the comparison of the dependency of the total value of Pressure (P) on a fluid to different test values for depth (h). Given that the simulation of a fluid pressure water tank allows for the input of multiple values, including different test values for depth (h), it is possible to determine the dependency of each value on the total value of Pressure (P). An observer would notice that the total value of Pressure (P) is called the dependent variable because it will be the variable that may or may not depend on the change in another variable and is located on the y-axis of the graphs. The Pressure (P) may be calculated by the following equation: Pressure (P) = Force (F) / Area (a). The effect of depth (h in meters) on the total pressure of a fluid (P in Pascals) may be calculated by the following equation: Pressure (P) = [(density (ρ) X gravity (g)] X depth (h) + atmospheric pressure (P o ). The accepted value for the pressure of the atmosphere at sea-level which is 101,350 Pascals. The accepted value for the acceleration of gravity is 9.8 m/s 2 . The accepted value for the density (ρ) of water is 1000 kg/m 3 . Procedure: 1. Start the simulation 2. list 15 different test values for depth (h) to input into the simulation to determine its dependency on the value of the water pressure (P) Trial # X = Depth (meters) 1 0.2 meters 2 0.4 meters 3 0.6 meters 4 0.8 meters 5 1.0 meters 6 1.2 meters 7 1.4 meters 8 1.6 meters 9 1.8 meters 10 2.0 meters 11 2.2 meters 12 2.4 meters 13 2.6 meters 14 2.8 meters 15 3.0 meters 3. input the first test value for depth (h) into the simulator and observe its dependency on the value of the pressure (P), then repeat the process for the fourteen remaining test values 4. perform comparative analyses
Results: Trial # Y = Pressure (Pascals) X = Depth (meters) 1 103200 Pascals 0.2 meters 2 105300 Pascals 0.4 meters 3 107100 Pascals 0.6 meters 4 109100 Pascals 0.8 meters 5 111000 Pascals 1.0 meters 6 113100 Pascals 1.2 meters 7 115100 Pascals 1.4 meters 8 117000 Pascals 1.6 meters 9 119000 Pascals 1.8 meters 10 120900 Pascals 2.0 meters 11 122800 Pascals 2.2 meters 12 124900 Pascals 2.4 meters 13 126800 Pascals 2.6 meters 14 128700 Pascals 2.8 meters 15 130500 Pascals 3.0 meters 100000 105000 110000 115000 120000 125000 130000 135000 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 f(x) = 0 x − 10.35 Pressure (P) vs. Depth (h) h = Depth (meters) P = Pressure (Pascals) Data from the table, input into the graph, shows that when different test values for depth (h) are input into the simulator, the value for pressure (P) rises as the value for depth (h) does. Data from the table and graph also show that the slope of the “Pressure (P) vs. Depth (h)” graph is constant and forms a diagonal line. One may observe that values of the pressure of a fluid and the depth are directly proportional.
Data from the simulation screenshot allows an observer to view one of the 15 trials for different values of depth (h), and the resulting total pressure (P) value. One may observe that during the current screenshot of trial #8, the value of depth (h) was set to 1.6 meters (m) and the resulting value for total pressure (P) was 117,000 Pascals (P).
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