PHYS 200 Lab Report 1 (Revised)

Athabasca University PHYS 200 Lab Report #1 Kinematics in One Dimension Ashley Sherlow September 12, 2023 Student Number: 3309093 Introduction In this lab, one parameter undergoes controlled manipulation, while the other parameter is quantified as a result of the manipulation. The result in the case of this lab will be a dataset – represented on a graph – that illustrates the average velocity of a car travelling from Calgary to Edmonton, based on a set of numbers that depict the distance travelled by the car versus time. Procedure During a drive from Calgary to Edmonton, a person collected data that documented the distance covered over time. The data collection began at the final green light on the outskirts of Calgary with the odometer reset to zero. At this point, a stopwatch started, beginning to collect the time over the duration of the drive. The measured

time was used to track the distance travelled at ten minute intervals based on the odometer reading. Uncertainty in the data collected was acknowledged based on the odometer’s measurement capabilities to within 100m, therefore producing an uncertainty of δd = ± 0.1km. The uncertainty for time intervals was determined to be a timing error of about 12 seconds, therefore producing an uncertainty of δt m = ± 0.2 min. The data collected is presented in the table under the Data heading. Pictures 1

Data Original Data Collected: Known: X 0 = 0 unc X = +/– 0.1km unc T = +/– 0.2 min T = intervals of 10 min Unit Conversion (Sample Calculation): T h = 1/60 × t m = 1/60 x 10.0 min = .0167 h Calculation for Uncertainty δT h = 1/60 × δt m 3

unc T = +/– 0.2 min 0.2min/10min = 0.02% δT h = 1/60 × t m = 1/60 x 0.02% = +/- 0.000334 = +/- 3.34 x 10 -4 Time in Minutes tm±0.2(min) Time in Hours th±3.34 x 10-4(h) Distance d±0.1(km) 0.0 0.000 0 10.0 0.167 17.5 20.0 0.333 34.5 30.0 0.500 52.5 40.0 0.667 76.1 50.0 0.833 87 60.0 1.000 105 70.0 1.167 122.3 80.0 1.333 144 90.0 1.500 152.3 100.0 1.667 177 110.0 1.833 191.1 120.0 2.000 209 130.0 2.167 227.4 140.0 2.333 241 150.0 2.500 263.7 160.0 2.667 285.2 170.0 2.833 292.1 Calculation for Best-fit Linear Slope = rise/run = Δd/Δt = (105 km - 87 km)/(1.00h - 0.833h) = 18 km / 0.167 h 4

rounded, it was marginally less than the average speed. Some suggestions to enhance the accuracy of future measurements could include more frequent data points and perhaps a more precise measurement method. Questions 1. 1.001 x 10 2 m ; 9.87 x 10 2 s ; (1.000 ± 5) x 10 3 J ; 0.5 x 10 5 s ; 9.001 x 10 13 mm 2. δy = 3(4x 4-1 )δx 3. C = 2πr = 2π (7.3cm) = 45.8cm δC = 2π(δr/r) = 2π (0.2cm/7.3cm) = 2π (0.03cm) = 0.2cm C = 45.8 ± 0.2 cm 4. A = πr 2 = π(7.3cm) 2 = 167.4cm 6

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