+o is from m The number of measurements that fall in that range is m to Do your data for the width of the table agree with the theory reasonably well? State your evidence for your opinjon

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...
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tory 1
Measurement ef Length
21
2. Answer the same question for the width. Range of W - W to W+oW, is from
n-1
m to
Do your data for the
Tdth of the table agree with the theory reasonably well? State your evidence for vour oninion
m. The number of measurements that fall in that
range
is
2. According to statistical theory, if any measurement of a given quantity has a deviation greater than
3. from the mean of that quantity, it is very unlikely that it is statistical variation, but rather is
more likely to be a mistake. Calculate the value of 30-1. Do any of your measurements of Jength
have a deviation from the mean greater than that value? If so, calculate how many times larger than
it is. Do any of your measurements of the length appear to be a mistake, and, if so, which ones?
Transcribed Image Text:tory 1 Measurement ef Length 21 2. Answer the same question for the width. Range of W - W to W+oW, is from n-1 m to Do your data for the Tdth of the table agree with the theory reasonably well? State your evidence for vour oninion m. The number of measurements that fall in that range is 2. According to statistical theory, if any measurement of a given quantity has a deviation greater than 3. from the mean of that quantity, it is very unlikely that it is statistical variation, but rather is more likely to be a mistake. Calculate the value of 30-1. Do any of your measurements of Jength have a deviation from the mean greater than that value? If so, calculate how many times larger than it is. Do any of your measurements of the length appear to be a mistake, and, if so, which ones?
Data and Calculations Table 2 (nearest 0.0001 m, which is 0.1 mm)
Trial
(W; - W) (m²)
Y, (m)
Y2 (m)
W; = Y2 - Y1 (m)
W; - W (m)
- 00 19m.0019 0-8830
• 0037m •8991
- DOISm
0:020960.000439
- Oʻ00486
2.36E-OST
-0-02466 0-000608
* O037m
8793
-0.01376 0 000189
=D0:002767-62E06
4
· 0027m
• 00 27m
8902
• o036m •9012
0074mG0074m.9362
7.0039m *0039m.90091.
ni flsl
0036m
0.03224 0•001039
- O'00306. 9.36E06
- 000743.
-0-02726.0-
|-01954
too13 m
0013 m 2767
0065m:0065 m.9235
410.0o00382
- 0694m .0094m.guosl. 0-04554 0.00207
9.0396
E(W; -W}* = 0-002074
1
of m
lo egna ll
drun
W = 0•90396 gw
O :0248 w-om, =O°87916w+o, = 0•9287 aw =
M
n-1
M
W+o-1
on-1
A = Lx W =
OA =
Transcribed Image Text:Data and Calculations Table 2 (nearest 0.0001 m, which is 0.1 mm) Trial (W; - W) (m²) Y, (m) Y2 (m) W; = Y2 - Y1 (m) W; - W (m) - 00 19m.0019 0-8830 • 0037m •8991 - DOISm 0:020960.000439 - Oʻ00486 2.36E-OST -0-02466 0-000608 * O037m 8793 -0.01376 0 000189 =D0:002767-62E06 4 · 0027m • 00 27m 8902 • o036m •9012 0074mG0074m.9362 7.0039m *0039m.90091. ni flsl 0036m 0.03224 0•001039 - O'00306. 9.36E06 - 000743. -0-02726.0- |-01954 too13 m 0013 m 2767 0065m:0065 m.9235 410.0o00382 - 0694m .0094m.guosl. 0-04554 0.00207 9.0396 E(W; -W}* = 0-002074 1 of m lo egna ll drun W = 0•90396 gw O :0248 w-om, =O°87916w+o, = 0•9287 aw = M n-1 M W+o-1 on-1 A = Lx W = OA =
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