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Unformatted text preview: PHY 113: Measurement of a Table Student’s name: Lab partners: Date of experiment: Section SLN: TA’S name: Abstract: Students in a lab group of five where handed wooden sticks at a length of 20cm, with these tools they were to measure the length (L) and width (W) of the lab table tops thirty times to each side. Once obtaining the thirty values by using one hand and eye sight, these values were then plugged into the computer program to compute the standard deviation of the assorted measurements of length and width of the counter top. Objective: To understand how to compute standard deviation, and the mean value of the measurements, also the understanding of significant figures when computing mean values. Precent error also was an objective due to human error of eye balling our measurements. I. Procedure: Two wooden sticks (20 cm) in length each were used to measure the length and width of the lab table counter tops. The lab group appointed two students in the group of four to measure the (L) and (W) just using one hand each and eyeballing the measurements. The remaining two students then recorded the given data from each. This process was repeated thirty times each. The final collection of length and width data was then plugged into the computer program, graphical analysis software. The data was then put into two columns, a width (w) column and a length (L) column in this program, once finished the graphical analysis produced two line graphs, each for the (L) and (W). These graphs showed the the standard deviation, mean, and median values of the computed values. Once the values were obtained they were plugged into several formulas (see below) to come up with the width, length, change in width and length, area, change in area and discrepancy (A)%. III. Results: Width(cm) Change Length. Change in Area of in width. (cm) length.(cm) table. (cm) (cm^2) 77.13 0.27 174.3 0.36 13000 IV. Data Analysis. Change Discrepancy. of area. (cm) 86.104 6.92% The formula to find change in width. Change in width = (standard deviation width) / (the square of the number of times measured). 1.4794/√30 = .19 centimeters. = 2.100/√30 = .36, (measurements) A = W ×L = 77.13 × 174.3 = 13443.76 cm ∆A = (L) x (∆W) + (W) x (∆L) = 174.3 x 0.36 + 77.13 x 0.27 = 83.57cm Discrepancy of A= 13900-13000/13000= .069(100) = 6.92% Amean ± ΔA= (13000 ± 0) cm N=number of times V. Discussion and Conclusion: This experiment overall was a success. The data obtained and processed in the Graphical Analysis's software showed two very important graphs of length and width. Each of these line graph along with the data analysis proved that the lab groups measurement, done by one hand and eye-balled, were impressive accurate due to the calculations done by the discrepancy formula, (6.92%). Obtaining the data and figuring the standard deviation, and mean values shows that this is a proven method for very accurate measurements. ...
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This note was uploaded on 03/03/2010 for the course PHY PHY 113 taught by Professor Na during the Spring '10 term at ASU.
- Spring '10