The following data was collected. L is the length of the string between the top of the tub and m2. m, is the mass hanging at the bottom of the tube. t1, t2, and t3 is the time required for m2 to complete 10 full rotations for the given m, value. L= 25.8 cm m1 = 46.4 g; t1 = 9.38 s, t2 = 9.49 s, t3 = 9.51 s m1 = 64.1 g; t1 = 8.12 s, t2 = 8.45 s, t3 = 8.29 s m1 = 81.0 g; tı = 7.30 s, t2 = 7.41 s, t3 = 7.26 s mı = 96.8 g; t1 = 6.30 s, t2 = 6.62 s, t3 = 6.39 s m1 = 106.9 g; t1 = 6.09 s, t2 = 6.25 s, t3 = 6.2 s m1 = 122.3 g; tı = 5.75 s, t2 = 5.82 s, t3 = 5.91 s Make a data table of the information above. Include a title, column/row headings with units, and appropriate formatting.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Observations:
The following data was collected. L is the length of the string between the top of the tub and m2. m, is the
mass hanging at the bottom of the tube. t1, t2, and t3 is the time required for m2 to complete 10 full rotations
for the given m¡ value.
L= 25.8 cm
m1 = 46.4 g; t1 = 9.38 s, t2 = 9.49 s, t3 = 9.51 s
mı = 64.1 g; ti = 8.12 s, t2 = 8.45 s, t3 = 8.29 s
m1 = 81.0 g; t1 = 7.30 s, t2 = 7.41 s, t3 = 7.26 s
m1 = 96.8 g; t1 = 6.30 s, t2 = 6.62 s, t3 = 6.39 s
m1 = 106.9 g; t1 = 6.09 s, t2 = 6.25 s, t3 = 6.2 s
m1 = 122.3 g; t1 = 5.75 s, t2 = 5.82 s, t3 = 5.91 s
%3D
%3D
%3D
Make a data table of the information above. Include a title, column/row headings with units, and
appropriate formatting.
Transcribed Image Text:Observations: The following data was collected. L is the length of the string between the top of the tub and m2. m, is the mass hanging at the bottom of the tube. t1, t2, and t3 is the time required for m2 to complete 10 full rotations for the given m¡ value. L= 25.8 cm m1 = 46.4 g; t1 = 9.38 s, t2 = 9.49 s, t3 = 9.51 s mı = 64.1 g; ti = 8.12 s, t2 = 8.45 s, t3 = 8.29 s m1 = 81.0 g; t1 = 7.30 s, t2 = 7.41 s, t3 = 7.26 s m1 = 96.8 g; t1 = 6.30 s, t2 = 6.62 s, t3 = 6.39 s m1 = 106.9 g; t1 = 6.09 s, t2 = 6.25 s, t3 = 6.2 s m1 = 122.3 g; t1 = 5.75 s, t2 = 5.82 s, t3 = 5.91 s %3D %3D %3D Make a data table of the information above. Include a title, column/row headings with units, and appropriate formatting.
In your lab report, do not number your analysis steps. Numerical steps are provided here for easy
reference if you have questions. Format your analysis section like previous lab reports where a template
has been provided – all tables, graphs, diagrams, and calculations need numerical, descriptive titles. All
calculations require formulas and units and final answers should be summarized or highlighted.
Calculate the average period and average frequency of rotation for each mı value. Show one sample
calculation of period and frequency and summarize the remaining results in an appropriately formatted
table.
o Don't forget to include a table title, descriptive column/row headings with units, and appropriate
formatting throughout.
Graph mı as a function of frequency of rotation by hand. This graph must be completed on the small
grid graph paper available on D2L.
o A clear picture of this graph (taken in bright light from directly overhead and cropped to show
only the graph) is to be included in the lab report after the table described in #1
Don't forget to include a descriptive graph title, axis titles including units, and a trendline (this
graph should not be linear).
Draw a free body diagram of m2 during its circular motion showing the forces acting on the mass.
Assume the mass is swinging completely horizontally. This diagram can be made digitally or by hand. It
should be labelled and included, with a figure caption, after the graph described in #2.
Using your free body diagram and the circular motion and forces equations you have learned to date,
determine and explain what m1 should be plotted against (mı is the dependent variable) to yield a
linear graph (hint: you will need to equation two formulas) that will allow you to solve for the mass of m2.
Show the two formulas separately and then equated.
o Rearrange if necessary so the formula reads m1 =
Compare this formula to y = mx+b, clearly stating what y, m, x, and b represent
Create a new data table of the data that will provide a linear graph using your answer to #4. One of the
columns will be m1.
Show a sample calculation of any data you manipulated to create this table.
Don't forget to include a table title, descriptive column/row headings with units, and appropriate
formatting throughout.
Graph m1 as a function of
graph must be completed on the small grid graph paper available on D2L. Draw a line of best fit
by hand (using the data table created in #5). This
through your data that extends to the origin.
o A clear picture of this graph (taken in bright light from directly overhead and cropped to show
only the graph) is to be included in the lab report after the above described table.
o Don't forget to include a descriptive graph title, axis titles including units, and a trendline (this
graph should be linear).
Calculate the slope of your line in the graph produced in #6. Label two coordinates on the line of best
fit. Use the slope to determine m2 (using the relationship described in #4).
The bob had an actual mass of 18.2 g. Calculate the percent error of your answer.
Transcribed Image Text:In your lab report, do not number your analysis steps. Numerical steps are provided here for easy reference if you have questions. Format your analysis section like previous lab reports where a template has been provided – all tables, graphs, diagrams, and calculations need numerical, descriptive titles. All calculations require formulas and units and final answers should be summarized or highlighted. Calculate the average period and average frequency of rotation for each mı value. Show one sample calculation of period and frequency and summarize the remaining results in an appropriately formatted table. o Don't forget to include a table title, descriptive column/row headings with units, and appropriate formatting throughout. Graph mı as a function of frequency of rotation by hand. This graph must be completed on the small grid graph paper available on D2L. o A clear picture of this graph (taken in bright light from directly overhead and cropped to show only the graph) is to be included in the lab report after the table described in #1 Don't forget to include a descriptive graph title, axis titles including units, and a trendline (this graph should not be linear). Draw a free body diagram of m2 during its circular motion showing the forces acting on the mass. Assume the mass is swinging completely horizontally. This diagram can be made digitally or by hand. It should be labelled and included, with a figure caption, after the graph described in #2. Using your free body diagram and the circular motion and forces equations you have learned to date, determine and explain what m1 should be plotted against (mı is the dependent variable) to yield a linear graph (hint: you will need to equation two formulas) that will allow you to solve for the mass of m2. Show the two formulas separately and then equated. o Rearrange if necessary so the formula reads m1 = Compare this formula to y = mx+b, clearly stating what y, m, x, and b represent Create a new data table of the data that will provide a linear graph using your answer to #4. One of the columns will be m1. Show a sample calculation of any data you manipulated to create this table. Don't forget to include a table title, descriptive column/row headings with units, and appropriate formatting throughout. Graph m1 as a function of graph must be completed on the small grid graph paper available on D2L. Draw a line of best fit by hand (using the data table created in #5). This through your data that extends to the origin. o A clear picture of this graph (taken in bright light from directly overhead and cropped to show only the graph) is to be included in the lab report after the above described table. o Don't forget to include a descriptive graph title, axis titles including units, and a trendline (this graph should be linear). Calculate the slope of your line in the graph produced in #6. Label two coordinates on the line of best fit. Use the slope to determine m2 (using the relationship described in #4). The bob had an actual mass of 18.2 g. Calculate the percent error of your answer.
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