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Lab Improvements/Changes
10 cycles, then divide time by ten to get the period. Period: the time it takes to complete one cycle Person timing should be person releasing the weight
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Data Collection Standards (see handout)
Measure and record all variables. Conduct multiple trials (same thing several times). More trials are needed if there is a large variance between trials. Record all trials, use average as the “final” value.
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Collect as many data points as possible for each independent variable (8-10 is usually a good minimum number to aim for). Collect data for each independent variable over as large a range as possible (a factor of at least 5 between minimum and maximum is best).
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Your task is to collect data so that you can determine the mathematical relationship (equation) between the length of a pendulum and it’s period. Make a plan with your group as to how you are going to update your procedure so that you get the best data possible.
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Calculate the average for each set of data. Is there a difference?
Period (s) Trial 1 Trial 2 Trial 3 Trial 4 Avg. 5.6 5.4 5.3 5.7 5.5 Period (s) Trial 1 Trial 2 Trial 3 Trial 4 Avg. 2.1 9.9 3.2 6.8 5.5
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Experimental Uncertainty
This is the measure of the variation between measurements/trials when we expect the same result. 𝑈𝑛𝑐𝑒𝑟𝑡𝑎𝑖𝑛𝑡𝑦= 𝐿𝑎𝑟𝑔𝑒𝑠𝑡 𝑣𝑎𝑙𝑢𝑒−𝑠𝑚𝑎𝑙𝑙𝑒𝑠𝑡 𝑣𝑎𝑙𝑢𝑒 2
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Calculate the uncertainty for each set of data. Is there a difference?
Period (s) Trial 1 Trial 2 Trial 3 Trial 4 Avg. 5.6 5.4 5.3 5.7 5.5±0.2 Period (s) Trial 1 Trial 2 Trial 3 Trial 4 Avg. 2.1 9.9 3.2 6.8 5.5±3.9
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Example 1: Jose measured the width of a room 3 times
Example 1: Jose measured the width of a room 3 times. Calculate the experimental uncertainty in his measurements. d1 = 4.25 m, d2 = 4.31 m, d3 = 4.26 m 4.31𝑚−4.25𝑚 2 =.03 m davg = 4.27±.03 m (experimental uncertainty)
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Example 2: We have four time measurements for the period of a pendulum that has a length of 550 mm: T1 = 1.35 s, T2 = 1.42 s, T3 = 1.41 s, T4 = 1.45 s. Calculate the average and experimental uncertainty.
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Length: 550 mm T1 = 1.35 s, T2 = 1.42 s, T3 = 1.41 s, T4 = 1.45 s. 1.45𝑠−1.35𝑠 2 =.05 s Tavg = 1.41±.05 s
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Experimental uncertainty needs to be calculated for each set of trials.
If you have just one experimental uncertainty for the entire lab, you are doing it wrong.
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Homework Start lab report (bring printed out) Intro Procedure Data
Graphs Includes initial plot and linearize plot
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