RESULTS_archimedes_JT_AP_HY

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Prince George's Community College, Largo *

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244

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Mechanical Engineering

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Dec 6, 2023

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docx

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R-1 RESULTS Group Lab Report * Title of Experiment: Archimedes Principle Date: 9 Nov 23 Class, Section & Lab group: PHYS 244-205 Group 1 Recorder (consolidates report and submits into dropbox): Group Members PRESENT Joanne Tsai and Haneen Yousif * Before beginning, save this report on your desktop with the Recorder's last name appended. Activity 1: 1. Do your results suggest that the material is pure aluminum (within 10% uncertainty)? If this is not the case, what might it be? The results do suggest that the material is pure aluminum, because our value of 2553 kg/m 3 is within 10% uncertainty with the expected value 2800 kg/m 3 . 2. Why is it important to first tare the force sensor before making a measurement? What type of error does this introduce into your measurements? How might this be accounted for? Taring the force sensor allows for a baseline of 0 N to begin with, thus making our measurements more precise. If we had not tared the force sensor, the reading would not be as representative of the actual force. This type of error would be systemic, as it would introduce forces not present in all of the trials. This can be accounted for by the reading of the sensor with nothing on it – this is the force that is present across all other trials. Activity 2: 3. Using your measurement from activity 2, what type of wood/Styrofoam were you given? How did you come to this conclusion? The type of wood was likely spruce wood, because the calculated density was 447.37 kg/m 3 , and this is within the range of the spruce density found on the internet. For the Styrofoam, the calculated density was 17.54 kg/m 3 , and this is around the range for the density of EPS Styrofoam found on the internet, which was within the range of 15-16 kg/m 3 . 4. How might you conduct activity 1 of this experiment if instead of being given a force sensor, you instead are given a spring with a known spring constant and a ruler? Describe in detail how you would modify the procedure in order to use the spring and a ruler to take your measurements and then determine the density of the mass. Show necessary sample calculations and equations.
R-2 For activity 1, we would first calculate using the equation of F = -k*x, and then finding the force from there. Once the force calculated, we can plug that in as the force in the denominator. A sample calculation would be ρ o = ρ f g m o /(− k x ) . The x would be found via displacement of the spring, and the spring constant would be given. The mass would be found via a scale, and g would be the gravitational constant. ρ f is the density of water, 1000 kg/m 3 .
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