Physic1

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City College of San Francisco *

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4A

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Statistics

Date

Jan 9, 2024

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pdf

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4

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Lab 1: Measurements and Uncertainty Lab Activity Report Name: Date: A. Measurement and Uncertainty Exercises 1. For the following measurements, state the absolute uncertainty, the fractional uncertainty, and the percent uncertainty. For the fractional and percent uncertainties, state your answers to 3 significant figures Measurement Absolute Uncertainty Fractional Uncertainty Percent Uncertainty (25.7 ± 0.1) cm _________________ _________________ _________________ (85 ± 5) g _________________ _________________ _________________ (0.221 ± 0.003) s _________________ _________________ _________________ 2. For the following, the best estimate and the fractional uncertainty are given. Use these to find the absolute uncertainty for each. Round the absolute uncertainty to 1 significant figure. 0.00384x100 = 0.384% W best - 25.7 ch Ew = 0.1 cm = 0.00389 25.7 (m =0.1Cm wbest= 859 0.0588x100 = 5.88 5W = 59 - = 0.0588 859154 wbest= 0.2215 2003 = 0.0135 0.0135x100 = 1.25% OW = 0.003 S 0.2215 10.003S
Best Estimate Fractional Uncertainty Absolute Uncertainty 25.7319 cm 0.0168 _________________ 85.2247 g 0.0451 _________________ 0.220673 s 0.00735 _________________ 3. A student measures the time of an event to be (14.89 ± 1.2) s. What should the correctly rounded time be? t = _____________________ 4. Two students measure the length of a block to be: Perform the discrepancy test to check if they are in agreement. Draw a table that shows the two measurements, the discrepancy, the tolerance, and the result of the discrepancy test. B. Height of a person Using a tape or ruler, measure the height of someone. Include a picture of you taking the measurement, and some notes on how the measurement was made. Height = _____________________________ (Do not forget units and uncertainty) 25.7314.0.0168 = 0.4cm 85.224700.0451 = 3.89 0.220673.0.00735 = 0.002S 14.93
C. Dimensions of a block 1. Measure the width and height of the block using both a ruler and a vernier calliper. Tabulate your data below. Remember to include units and uncertainties. 2. Compare the height you measured using the ruler with the height you measured using the calipers. Do they agree? (i.e. do they pass the discrepancy test? Show all your work) 3. Compare the width you measured using the calipers with the width you measured using the calipers. Do they agree? (i.e. do they pass the discrepancy test? Show all your work)
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