# Experiment 1A: Excel Graphing Exercise

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1 Physics 210 Lab Manual Page 1-1 Experiment 1A: Excel Graphing Exercise The data for this exercise comes from measuring the time for a simple pendulum to swing back and forth 20 times as a function of the length of string. 1. Type the following data into EXCEL in columns A and B. Don t forget to label the columns. Length (cm) Time for 20 Swings (s) 0.4 cm 0.5 s Highlight the first 12 columns of this sheet and format them so they wrap text. Click on Home-Format-Format Cells-Alignment-wrap text. 3. Name this sheet Data. Right click on Sheet 1 at the bottom of the page then choose Rename and type Data. 4. In column C calculate the time for 1 swing using the formula (=B2/20) etc. This is the period of motion. Label the column with Period of Motion T (s). After typing this formula in C2 you can click on the bottom right corner of the cell and drag the formula down the whole column. 5. Calculate the absolute uncertainty for the period and put it into column D. The absolute uncertainty is 0.5/20 for every entry of column D. Label the column Abs Unc T (s). 6. Calculate the percent uncertainty for the period in column E. The percent uncertainty for the first entry would be (=D2/C2*100). Label the column % Unc T (%). Format the values so they only have 1 decimal place. Click on Home-Format-Format Cells-Number- Number-Decimal Places Calculate T 2 in column F and label it T 2 (s 2 ). To make a superscript type the 2 then highlight it then click Home-the little arrow at the right of the Font box-superscript OK. 8. Calculate the percent uncertainty in T 2 in column G. The first entry would be (=E2*2).Label the column % Unc T 2 (%) 9. Calculate the absolute uncertainty in T 2 in column H. The first entry would be (=G2/100*F2). Label the column Abs Unc T 2 (s 2 ).

3 Physics 210 Lab Manual Page 1-3 series should now be highlighted. Sometimes it is difficult to highlight the data point you are interested in, to make it easier you can zoom in on the chart by clicking View-Zoom- 200%. Click on Layout-Error Bars-More error bars options. The vertical error bars dialogue box should be on your screen. Drag this box to the far left of your screen. Click Both, Cap, Custom, Specify Value in this box. Now you need to go to the data sheet to get the Abs Unc in T 2 values. You do this while the positive values are highlighted in black in the second small box on your screen. Just click on the Data sheet at the bottom of the page and then click and drag down the values in column H. Do the same for the negative values but be careful that the equal sign is in this entry just like the positive values entry. 19. Now get rid of the horizontal error bars that EXCEL just puts in for some unknown reason. Click on any horizontal error bar so they are all highlighted and then just hit delete. You ll notice that it is very hard to see the vertical error bars but they are there. 20. Add trendlines for all data series. Right click on a data point from each series then click Add Trendline-Linear-Display Equation on chart. 21. Move the equations so they are not near the lines. Click and drag them to do this. If you want to format the numbers in the equation you can right click on the equation then click Format Trendline Label-Number and choose the number format for the slope (keep 4 decimals). 22. Format the trendlines so the max and min slope lines are dashed. Right click on the line, Format Trendline-Line style-dash type. 23. Get rid of the data points for the max and min series so you can see the error bars more clearly. Right click on a data point, Format Data Series-Marker Options- None. 24. Format the experimental data series markers with small dots. 25. Type the 3 values for the slopes into your data sheet keeping 4 decimal places. Put the max slope in F12, the min slope in G12 and the experimental slope in H12. Note that the experimental slope is the slope of the trendline for the original data points. Put labels above them. 26. Calculate the absolute uncertainty in slope using the max and min slopes and put it in I12. Abs Unc =(max slope - min slope)/2. Label this value Abs Unc slope. 27. Calculate the percent uncertainty in slope and put it in J12. % Unc=Abs Unc/experimental slope *100. Label this value %Unc slope and color the cell yellow. Click on the paintbucket under the font tab in Home and choose yellow. 28. Use the LINEST function in EXCEL to calculate the uncertainty in slope. Type Linest in F14 as a label. Highlight a 2X2 block of cells starting in F15. i.e, F15, F16, G15 and G16. Click up in the formula bar and type =LIN (the LINEST function should now appear)

5 Physics 210 Lab Manual Page Write the inequality for the % Unc s that you used to determine whether your results are consistent or inconsistent. Put these beside the words consistent and inconsistent. 37. You will be required to repeat this analysis for 3 of your labs in the course so keep your EXCEL file and you may be able to just input your new data points. Beware of the copy and paste of the data points, if you are pasting values only then they won t change when you change your original data. You may want to play around with that part of the sheet. 38. Print out all of the sheets of your worksheet and make sure you save them. You ll need them when you do this exercise in Matlab. 30 Sample Graph with error bars R 2 vs V/(I av2 *4.865) Max slope equation: y = x Experimental Data: y = x Min slope equation: y = x R 2 (cm 2 ) 10 Experimental Data max slope Min slope Linear (Experimental Data) Linear (max slope) Linear (Min slope) V/(I 2 *4.865)

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