Lab 6 - Simple Harmonic Motion - Rubric_Mukund

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Apr 3, 2024

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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 Ans: 2. [7 points, 1 point per recorded measurement] Record measurements of force and position in the Google Sheets Simple Harmonic Motion - Student Copy. Ans: position (m) Force (N) 0.0601 -1 0.074 -0.8647 0.1242 -1.4741 0.0192 -0.1248 0.0905 -1.0388 0.0205 -0.1248 0.1328 -1.5611
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 Ans:
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. Excellent Good Needs work Poor Clearly identifies the slope and connects the relationship to Eq. 1. 3 points Identifies the slope with minor inconsistencies connecting the relationship to answer to Eq. 1. 2 points Inconsistency Identifying the slope with major inconsistencies connecting the relationship to answer to Eq. 1. 1 points Not attempted or unclear rambling. 0 points Ans: According to equation 1 , Fs = -kx. Thus,slope of force vs position represents the negative value of spring constant k. 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. Excellent Needs work Poor Correctly uses LINEST(). 2 points Incorrectly uses LINEST(). 1 point Missing or nonsense calculation. 0 points Ans: Linest -12.81196115 0.1205107641 0.1842765892 0.01574900871 0.9989666912 0.02044280653 4833.82469 5 2.020095647 0.00208954169 5
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6. [1 point] Record your value of the spring constant in table below: Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points Spring Constant (N/m) 12.81196115 +/- 0.1842765892 N/m 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. Ans: oscillation time (sec) 1 0.53641 2 1.29749 3 2.0578 4 2.818 5 3.5794 6 4.339 7 5.139 8 5.86 9 6.62125 10 7.381 8. [3 points] Make a scatter plot of time vs. oscillation: a. Click on the top of the column with oscillation values (Column A). 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 Ans: 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. Excellent Good Needs work Poor Clearly identifies the slope and connects the relationship to Eq. 5. Identifies the slope with minor inconsistencies connecting the relationship to answer to Eq. 5. Inconsistency Identifying the slope with major inconsistencies connecting the relationship to answer to Eq. 5. Not attempted or unclear rambling.
3 points 2 points 1 point 0 points Ans: Equation 5 states that Thus, the slope of time vs oscillation graph represents the Period T. 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. Excellent Needs work Poor Correctly uses LINEST(). 2 points Incorrectly uses LINEST(). 1 point Missing or nonsense calculation. 0 points Ans: Linest 0.7612195758 -0.2237726667 0.00142706566 7 0.00885470959 7 0.9999718845 0.01296196761 284532.5664 8 47.80505751 0.00134410083 5 11. [1 point] Record your value of the period in table below: Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points
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Ans: Period (sec) 0.7612195758+/- 0.00142706566663777 12. [1 point] Record your value of the iOLab mass and uncertainty in the table below: Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points Ans: iOLab mass (kg) 0.18807 +/- 0.00280 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. Ans: t-score = 0.3804 14. [1 point] Calculate the probability using =T.DIST.2T( , ) using your values of the t-score and . Ans: p-value = 0.7135 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. Excellent Good Needs work Poor Clear and complete comparison of the two measurements of Unclear OR incomplete comparison of the Unclear AND/OR incomplete comparison of the Not attempted or unclear rambling.
mass and explanation of agreement/disagree ment with each other. 3 points two measurements of mass OR explanation of agreement/disagree ment with each other. 2 points two measurements of mass AND/OR explanation of agreement/disagree ment with each other. 1 point 0 points Ans: ● If the p-value > 0.05, there is no significant difference between the two values. Any difference is simply due to random uncertainty in the measurement. ● If the p-value 0.05, there is a marginal difference between the two values. The difference may be due to something more than random uncertainty in the measurement. ● If the p-value << 0.05, there IS a significant difference between the two values. The difference cannot be due to random uncertainty in the measurement. As the p-value > 0.05(p= 0.713), there is no significant difference between the two values. The Monte Carlo mass in lab 4 is 0.187 kg and the current Monte Carlo mass is 0.188 kg, the values agree with each other.

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