Lab10-BuoyantForce-Worksheet-vf Felli

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Feb 20, 2024

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Lab 10 p. 1 LAB 10: BUOYANT FORCE Final Score = __________ / 65 pts This is the companion worksheet for the Interference and Beats lab performed on DataStudio. This is not a replacement for the step-by-step walkthrough contained in the Lab Manual or in DataStudio, rather it is a place to write your data and answers. You may fill in your answers on this sheet digitally or handwritten on paper. This assignment is due DIGITALLY on Canvas in the same day as your lab. NAME: Mary Felli SECTION: 801 Introduction What is the Objective for this Lab? Briefly summarize the theory behind the lab, including any relevant equations. [10 pts] The objective for this lab is to measure the buoyant force that acts on a submerged object. We will also determine the slope of a force vs depth of the object plot, apply Archimede’s Principle to determine the fluid density from the plot, and compare the density to the accepted value. A couple useful equations include ml=PlVl and A = pir^2.
Lab 10 p. 2 Hypothesis Make an educated guess and predict what you think may happen. 1. How does buoyant force change with the depth of an object below the fluid surface? As the depth of an object increases, the more buoyant force there will be. 2. In which would you feel a stronger buoyant force: a swimming pool filled with oil or with syrup? The denser the fluid, the stronger the buoyant force. If we assume that the syrup is denser than the oil, we can infer that there will be a stronger buoyant force in a swimming pool filled with syrup than one filled with oil. 3. How does the buoyant force relate to the volume and mass of the object? The buoyant force is proportional to the volume of the fluid that is displaced by the object. If the mass of the displaced fluid is greater than the mass of the object, the buoyant force will be enough for the object to float. That mentioned, if the object is more dense than the liquid, it will sink but if the object is less dense than the liquid, it will float. Data Collection Cylinder Measurements [3 pts] Diameter [m] Radius [m] Area [m 2 ] 0 .074 m 0.037 m 0.0043 m ^2 Slope: 44.4
Lab 10 p. 3 Include a snapshot of your Buoyant Force vs. Submerged Depth graph and be sure to include your linear fit! [5 pts] Observations 4. For what reason was the Force Sensor zeroed after the cylinder was attached to the hook? What purpose did that serve? [2 pts] Because we were not interested in the force of gravity on the cylinder, we zeroed out the force sensor. This made it so we were only measuring the buoyant force on the cylinder.
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Lab 10 p. 4 5. What was the independent variable in this activity (the one that you changed)? The independent variable in this activity is the depth/ the height of the cylinder that was submerged. 6. What was the dependent variable (the one that responded to the change)? The dependent variable in this activity is the buoyant force. 7. How did the dependent variable respond? As the depth increased, the buoyant force also increased. Calculation Using this data you have taken, calculate the density of water. Compare this measurement to the known value. Measured Density of water (rho) = 44.4= density X 0.0043 m^2 X 9.8 density = 1053.6 kg/m^3 The accepted value for the density of water is: 1000 [kg/m 3 ] 8. How does your experimental value compare to the accepted value for the density of water? What are some reasons your number may be different? % Difference = ((1053.6 kg/m^3 – 1000 kg/m^3)/ 1000) X 100 = 5.36% Our experimental value compared to the accepted value with a difference of 5.36%. Our numbers may be different due to factors such as error with the sensor used. Synthesize 9. How does the buoyant force in water relate to the depth? The relationship is a linear relationship. The greater the depth of the object that is submerged, the greater the buoyant force.
Lab 10 p. 5 10. What were the sources of error and uncertainty in this experiment? One source of error and uncertainty associated with this experiment is the sensor used. The sensor may have picked up on something else or read the force incorrectly because of the oscillation noticed in the measurements. In addition, the meniscus of the water was likely not read correctly as we relied on the human eye for measurement. In addition, the minerals in the tap water used, impurities, temperature, and bubbles could affect our results. 11. How does your hypothesis compare to your results? Our hypothesis matched our results because the buoyant force increased as depth increased. Conclusions Application 12. Why are ships weighing as much as 45,000 tons able to float? (examples: aircraft carrier, cruise ships) [3 pts] Ships weighing as much as 45,000 tons are able to float. The ships will displace their weight. This is because heavy ships have compartments containing air, which causes the overall density of the ship to be less than water. Extension Problem 13. A 72.0-kg person puts on a life jacket, jumps into the water, and floats. The jacket has a volume of 0.022 cubic meters and is completely submerged under the water. The volume of the person that is under water is 0.058 cubic meters. a. What is the density of the life jacket? [6 pts] Volume of water = volume of person + volume of jacket Volume of water = 0.058 m^3 + 0.022 m^3 Volume of water = 0.08 m^3 80 kg 80 kg – 72 kg = 8 kg 8 kg/ 0.022 m^3 = 363 kg/m^3
Lab 10 p. 6
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