Phys 244 Archimedes principle Online Fall 2022

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George Mason University *

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Apr 3, 2024

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1 George Mason University Physics 244 (Online) Robert Orellana G#01309984 PHYS244 11/9/23 1. Create a plot for each cylinder graphing the buoyant force versus the volume of the cylinder submerged. Are the graphs for brass and aluminum cylinders similar? Regarding the comparison of buoyant forces to volume for the brass cylinder and the aluminum cylinder, both charts are identical. This is because there are no differences in volume or buoyant forces between the two trials. Figure 2: Experimental set up for activity 1 c

2 2. Is it reasonable to assume that the relationship between buoyant force and submerged volume would be similar if you had used a third object with greater mass (density)? Explain your reasoning. Since the connection between buoyant force and volume is the same and the graph would seem linear, it is logical to believe that the buoyant force and submerged volume will stay comparable in the item with the higher density. 3. Plot the buoyant force versus weight of displaced fluid with two curves: one for the brass cylinder and one for the aluminum cylinder and discuss the results. The weight of the bass was somewhat less than that of the aluminum. 4. Archimedes principle states that an object completely or partially submerged in a fluid experiences an upward buoyant force equal in magnitude to the weight of the fluid displaced by the object. Does your data support this statement? If yes, explain how it supports it; if no, identify which data do not support it and what may have caused this disagreement. yes, since the buoyant force and fluid weight are equal, the Archimedes Principle is satisfied. 5. Determine the density of both cylinders with equation 6 and compare it to the accepted value for each material. (Aluminum: 2.7 g/cm 3 , brass: 8.7g/cm 3 ). Do the accepted values and measured values agree within 10% uncertainty? Explain why or why not. Aluminum uncertainty: 2.75-2.7 / 2.7 * 100 = 1.85% - Brass uncertainty: 8.375-8.7 / 8.7 *100 = 3.73% - Both accepted values fall within 10% of uncertainty. Summary: Compared to aluminum, brass has a larger tension force. Regarding the comparison of buoyant forces to volume in the aluminum and bass cylinders, both figures are identical. This is because there are no differences in volume or buoyant forces between the two trials. Brass has a density of 8.375 g/cm^3, while aluminum has a density of 2.75 g/cm^3. Nonetheless, since there is a linear relationship between buoyant force and volume and the graph will appear liner, it is logical to suppose that the buoyant force and submerged volume of the item with the larger density would stay identical. The aluminum weights were somewhat heavier than the brass weights as compared to the weights displaced in each cylinder. Because the fluid's weight and buoyant force are equal, the facts confirm the Archimedes Principle. Brass had an uncertainty of 3.73%, whereas

3 aluminum had an uncertainty of 1.85%. Because the accepted values and the experimental values for the density are both within 10% uncertainty, they agree. Sources: Adapted from a PASCO handout

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