UMass Amherst PHYSICS 132  Physics 132 Lab 1 (4 pages)
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Physics 132 Lab 1
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 4
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 University of Massachusetts Amherst
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 Physics 132  Intro Physics II
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Phys 132 99 Volume of the Library Part 1 Experimental design 1 Methods Length and Width To measure the length and width we each measured the size of our feet and walked heel to toe along one section of the repeating cement square pattern We then multiplied this measurement by how many repetitions of this pattern we saw along two intersecting sides of the library Height To find the height we measured the height of each stair and counted how many stairs were between the first and second floors We then multiplied the number of stairs by the height of each stair We also assumed there was about 1 meter of extra space between the floors and ceilings of each floor Since there are 30 floors we multiplied the distance between the first and second floor by 30 This measurement is made under the assumption that each stair is the same height and each floor is the same height 2 Calculations Team member Length m Width m Height m Volume m 3 error Victoria 36 6 32 94 97 5 117 546 5 25 05 Zoe 33 46 33 46 93 75 104 960 11 66 Julia 37 13 33 41 93 75 116 298 1 23 72 Eliza 31 14 28 02 93 81 146 5 13 67 Part II Statistical Analysis 1 The mean and standard deviation for each of the three measurements Value Length m Width m Height m Mean 34 58 31 96 94 5 Standard deviation 2 43 2 28 1 76 2 The volume calculated from the means was 104 439 m 3 We think the uncertainty in this volume is 2 000 m 3 because each of our measurements varies by a few meters from one another and sometimes more Physical simulation of the Monte Carlo Method Draw Length m Width m Height m Volume m 3 1 37 13 33 41 93 115 368 2 33 46 33 41 93 75 104 803 3 36 6 33 46 93 75 114 810 4 37 14 33 46 97 5 121 164 5 36 6 32 94 93 75 113 025 6 37 13 33 41 93 75 116 298 7 33 46 33 46 93 104 120 8 33 46 33 46 93 75 104 960 9 37 13 28 02 97 5 101 437 10 37 13 28 02 97 5 101 437 Mean 35 92 32 31 94 73 109 742 1 What is the average and standard deviation for the volumes you have calculated using this method Average 109 742 m 3 Standard
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