Copy of Lab 6 - Simple Harmonic Motion - Rubric

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Lab 6 - Simple Harmonic Motion - Rubric 1. [1 point] Use Eq. 4 to derive an algebraic expression relating mass to and . Show your work. Excellent Poor Correct algebraic expression relating the to and . 1 point missing or nonsense algebra. 0 points 2. [7 points, 1 point per recorded measurement] Record measurements of force and position in the Google Sheets Simple Harmonic Motion - Student Copy. https://docs.google.com/spreadsheets/d/1bA1-UNEwIXJrbOrUe4o5sKT2ADNtfE_fMpcqny4J76 0/edit#gid=0 3. [3 points] Make a scatter plot of force vs. position: a. Click on the top of the column with position (m) values (Column A). b. Press and hold the Ctrl key and click on the top of the column with the Force (N) values (Column B). c. Release Ctrl key and open the Insert menu and select Chart. d. The Charter Editor will open. In Setup choose Chart Type > Scatter Chart, e. Make sure X-axis indicates position (m) f. Make sure the Series indicates Force (N). If position (m) is in the Series remove it. g. In Customize > Chart & axis titles add axes titles with units to your graph. h. Copy and paste your plot into this document below here:

Excellent Good Need Work Poor Complete and correct graph with correct axis labels/units. 3 points Mostly Correct graph with axis labels/units. Minor errors or missing features. 2 points Incomplete graph with major error or missing features. 1 point Incorrect graph or missing. 0 points 4. [3 points] Look closely at your graph of force vs. position and you will see it should be linear. What does the slope of force vs. position represent? Hint: look back at Eq. 1. The slope of a force vs. position graph represents the velocity of the object, so basically the value of slope at a particular time shows the velocity of the object at that position. Equation 1 is Fs = -kx and this graph correlates with this equation because of Hooke’s Law. This law mentions that force needs to extend or compress a spring by some distance. Also the graph is going on a negative slope and so does the equation. Excellent Good Needs work Poor Clearly identifies the slope and connects the relationship to Eq. 1. Identifies the slope with minor inconsistencies connecting the relationship to answer to Eq. 1. Inconsistency Identifying the slope with major inconsistencies connecting the relationship to answer to Eq. 1. Not attempted or unclear rambling.

3 points 2 points 1 points 0 points 5. [2 points] Use the built in function LINEST to determine the best slope of force vs. position. a. In an empty cell E2 enter =LINEST(range of y,range of x,1,1). b. The range of y should be the range of cells with the values of force in Column B. c. The range of x should be the range of cells with the values of position in Column A. https://docs.google.com/spreadsheets/d/1bA1-UNEwIXJrbOrUe4o5sKT2ADNtfE_fMpcqny4J76 0/edit#gid=2032296433 Excellent Needs work Poor Correctly uses LINEST(). 2 points Incorrectly uses LINEST(). 1 point Missing or nonsense calculation. 0 points 6. [1 point] Record your value of the spring constant in table below: Spring Constant (N/m) -13.69568038 +/- 0.3330044346 Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points 7. [10 points, 1 point per recorded measurement] Record measurements of time in the Google Sheets Simple Harmonic Motion - Student Copy. Make sure you select the tab and the bottom of the spreadsheet label Period. https://docs.google.com/spreadsheets/d/1bA1-UNEwIXJrbOrUe4o5sKT2ADNtfE_fMpcqny4J76 0/edit#gid=2032296433 8. [3 points] Make a scatter plot of time vs. oscillation: a. Click on the top of the column with oscillation values (Column A).

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b. Press and hold the Ctrl key and click on the top of the column with the time (sec) values (Column B). c. Release Ctrl key and open the Insert menu and select Chart. d. The Charter Editor will open. In Setup choose Chart Type > Scatter Chart, e. Make sure X-axis indicates oscillation. f. Make sure the Series indicates time (sec). If oscillation is in the Series remove it. g. In Customize > Chart & axis titles add axes titles with units to your graph. h. Copy and paste your plot into this document below here: Excellent Good Need Work Poor Complete and correct graph with correct axis labels/units. 3 points Mostly Correct graph with axis labels/units. Minor errors or missing features. 2 points Incomplete graph with major error or missing features. 1 point Incorrect graph or missing. 0 points 9. [3 points] Look closely at your graph of time vs. oscillation and you will see it should be linear. What does the slope of time vs. oscillation represent? Hint: look at Eq. 5. The slope of time vs. oscillation represents the speed of the pendulum at any moment. The graph is also constant. This graph relates to equation 5, t(n) = Tn+tstart. The tstart in the equation shows the starting time and other variables that match the graph. Excellent Good Needs work Poor

Clearly identifies the slope and connects the relationship to Eq. 5. 3 points Identifies the slope with minor inconsistencies connecting the relationship to answer to Eq. 5. 2 points Inconsistency Identifying the slope with major inconsistencies connecting the relationship to answer to Eq. 5. 1 point Not attempted or unclear rambling. 0 points 10. [2 points] Use the built in function LINEST to determine the best slope of time vs. oscillation. a. In an empty cell E2 enter =LINEST(range of y,range of x,1,1). b. The range of y should be the range of cells with the values of time in Column B. c. The range of x should be the range of cells with the values of oscillation in Column A. https://docs.google.com/spreadsheets/d/1bA1-UNEwIXJrbOrUe4o5sKT2ADNtfE_fMpcqny4J76 0/edit#gid=0 Excellent Needs work Poor Correctly uses LINEST(). 2 points Incorrectly uses LINEST(). 1 point Missing or nonsense calculation. 0 points 11. [1 point] Record your value of the period in table below: Period (sec) 0.7628201099 +/-0.001611137037 Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points

12. [1 point] Record you value of the iOLab mass and uncertainty in the table below: iOLab mass (kg) 0.20176 +/- 0.00489 Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points 13. [1 point] Calculate the t-score for your measured value of the mass. Your calculation should be done in your spreadsheet. Remember the t-score should be a positive number, so use the function =ABS( - ) in your calculation. t-score 0.3717 14. [1 point] Calculate the probability using =T.DIST.2T( , ) using your values of the t-score and . p-value 0.7157 15. [3 points] Compare the mass of your iOLab in question 12 and the Monte Carlo Mass from Lab 4. Do the two values agree with each other? Explain your reasoning. The iOlab mass in question 12 is 0.20176 and the Monte Carlo mass from lab 4 is 0.200. This shows that the values do agree with each other and they are very similar to each other. Excellent Good Needs work Poor Clear and complete Unclear OR Unclear AND/OR Not attempted or

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comparison of the two measurements of mass and explanation of agreement/disagree ment with each other. 3 points incomplete comparison of the two measurements of mass OR explanation of agreement/disagree ment with each other. 2 points incomplete comparison of the two measurements of mass AND/OR explanation of agreement/disagree ment with each other. 1 point unclear rambling. 0 points

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