Lab B1 Report

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School

University of Washington *

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121

Subject

Aerospace Engineering

Date

Oct 30, 2023

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pdf

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Uploaded by GeneralAtom12383

Lab B1 Report - Motion of Falling Objects Lab Partner Measurement (Ball at t = 0.000s) Eric 200.5 cm Leyna 201 cm Peyson 200 cm Emily 200.5 cm Average 200.5 cm +/- 0.5 cm Lab Partner Measurement (Ball at t = 0.500s) Eric 72.5 cm Leyna 72.5 cm Peyson 71.5 cm Emily 71.5 cm Average 72 cm +/- 0.5 cm For the measured quantities above, our team averaged out all our independent data points and determined the uncertainty to be the difference between the average and the furthest calculated point from the average. For both t = 0.000s and t = 0.500s our uncertainty was +/- 0.5 cm. Time (seconds) Eric Leyna Peyson Emily Average Position Uncertainty 0.000 s 200.5 cm 201 cm 200 cm 200.5 cm 200.5 cm +/- 0.5 cm 0.100 s 194.5 cm 194.5 cm 194.5 cm 194.5 cm 194.5 cm +/- 0.5 cm 0.200 s 180.0 cm 180 cm 180 cm 180 cm 180 cm +/- 0.5 cm 0.300 s 154.0 cm 153.5 cm 152 cm 152.5 cm 153 cm +/- 0.5 cm 0.400 s 117.5 cm 117.5 cm 117.5 cm 117.5 cm 117.5 cm +/- 0.5 cm 0.500 s 72.5 cm 72.5 cm 71.5 cm 71.5 cm 72 cm +/- 0.5 cm 0.600 s 17.5 cm 17.5 cm 17.5 cm 17.5 cm 17.5 cm +/- 0.5 cm

Time Displacement Uncertainty Velocity Uncertainty 0.050 s -6.00 cm +/- 1.0 cm -60.0 cm/s +/- 10 cm 0.150 s -14.5 cm +/- 1.0 cm -145.0 cm/s +/- 10 cm 0.250 s -33.0 cm +/- 1.0 cm -330.0 cm/s +/- 10 cm 0.350 s -35.5 cm +/- 1.0 cm -350.0 cm/s +/- 10 cm 0.450 s -45.5 cm +/- 1.0 cm -455. cm/s +/- 10 cm 0.550 s -54.5 cm +/- 1.0 cm -545. cm/s +/- 10 cm For the calculated quantities, we know that uncertainty in the displacement is equal to the sum of the uncertainties for each position. Since our uncertainty for each point was +/- 0.5 cm, adding them together would equal +/- 1.0 cm for displacement. To find the uncertainty for velocity, we used uncertainty percentage. I took the percentage uncertainty for displacement, and then applied that percentage to the calculated velocity. To determine the line of best fit, I made sure that the line passed through ⅔ of the uncertainty ranges. To determine the uncertainty, I drew out the maximum slope (by taking the top of the uncertainty of the first point to the bottom of the uncertainty of the last point) and the minimum slope (by taking the bottom of the uncertainty of the first point to the top of the uncertainty of the last point) and then the furthest slope from the line of best fit is the uncertainty. In this case the slope of line of best fit is -1000 cm/s² +/- 314 cm/s².

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