Data Table 4: Location of Masses for Balancing Three Masses Data Table 1: Mass Values Item Ruler Small Washer 1 Small Washer 2 Small Washer 3 Large Washer 1 Large Washer 2 Loop of String 1 with Paper Clip at 0 cm Loop of String 2 with Paper Clip Number of Small Location of Mass [g] 11.56 g 1.85 g 1.85 g 1.85 g 24.30 g 24.30 g 1.20 g 1.22 g Washers at 0 cm Center of Mass of the Ruler, Xem [cm] Location of the 2 Large Washers for Balance, x [cm] Lever Arm of Small Washer(s) 20.5-0 [cm] Lever Arm for the Lever Arm of Large Ruler Mass Washer 20. 5 – Xem [cm] X-20.5 [cm] 1 washer for 1* Trial 15.2 cm 23 cm 20.5 cm 5.3 cm 2.5 cm 1 washer for 2nd Trial 15.2 cm 23 cm 20.5 cm 5.3 cm 2.5 cm 2 washers for 1 Trial 15.2 cm 23.6 cm 20.5 cm 5.3 cm 3.1 cm Number of Small Washers at 0 cm Data Table 2: Location of Masses for Balancing the Ruler Location of Center of Mass of the Ruler, xcm [cm] Location of the Large Washer for Balance, x [cm] Lever Arm of Small Washer(s) Lever Arm of Large Washer 2 washers for 15.2 cm 23.7 cm 20.5 cm 5.3 cm 3.2 cm 2nd Trial xcm - 0 [cm] x – Xcm [cm] 1 washer for 1" Trial 15.2 cm 16.5 cm 15.2 cm 1.3 cm 3 washers for 1" Trial 15.2 cm 24.5 cm 20.5 cm 5.3 cm 4 cm 1 washer for 2nd Trial 15.2 cm 16.6 cm 15.2 cm 1.4 cm 2 washers for 1 Trial 15.2 cm 17.7 cm 15.2 cm 2.5 cm 2 washers for 2nd Trial 15.2 cm 18 cm 15.2 cm 2.8 cm 3 washers for 2nd Trial 15.2 cm 24.4 cm 20.5 cm 5.3 cm 3.9 cm 3 washers for 1st Trial 15.2 cm 19.1 cm 15.2 cm 3.9 cm 3 washers for 2nd Trial 15.2 cm 19.1 cm 15.2 cm 3.9 cm Data Table 3: Torques Number of Small Washers at 0 cm Anti-clockwise Torque [cm g] {Show a sample Clockwise Torque [cm g] [Show a % Difference in Torques sample Calculation} 1 washer for 1" Trial Data Table 5: Torques Number of Small Washers at 0 cm a sample Calculation} 99.20 cm-g Anti-clockwise Torque [cm g] {Show Clockwise Torque [cm g] [Show a sample Calculation} % Difference in Torques 121.50 cm.g 20.2% Calculation} 1 washer for 1" Trial 28.12 cm-g 15.03 cm-g 60.66% 1 washer for 2nd Trial 99.20 cm-g 121.50 cm-g 20.2% 1 washer for 2nd Trial 28.12 cm-g 16.18 cm-g 53.91% 2 washers for 1" Trial 137.12 cm-g 150.66 cm-g 9.4 % 2 washers for 1" Trial 56.24 cm.g 28.9 cm-g 64.22% 2 washers for 2nd Trial 137.12 cm.g 155.52 cm-g 12.6 % 2 washers for 2nd Trial 56.24 cm.g 32.37 cm.g 53.87% 3 washers for 1" Trial 175.04 cm.g 194.40 cm-g 10.5% 3 washers for 1" Trial 84.36 cm.g 45.08 cm-g 60.96% 3 washers for 2nd Trial 175.04 cm.g 189.54 cm.g 8.0 % 3 washers for 2nd Trial 84.26 cm-g 45.08 cm.g 60.69% (Ctrl)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 66PQ
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Question

Compare the 3 experimental masses of your ruler to the measured mass of your ruler (Data Table 1) by calculating the percent error for each experimental value.  Which trial provided the best data for determining the mass of the ruler?

Please help, I am not sure how to calculate this.  Thanks!

Data Table 4: Location of Masses for Balancing Three Masses
Data Table 1: Mass Values
Item
Ruler
Small Washer 1
Small Washer 2
Small Washer 3
Large Washer 1
Large Washer 2
Loop of String 1 with Paper Clip at 0 cm
Loop of String 2 with Paper Clip
Number of Small Location of
Mass [g]
11.56 g
1.85 g
1.85 g
1.85 g
24.30 g
24.30 g
1.20 g
1.22 g
Washers at 0 cm
Center of Mass of
the Ruler, Xem
[cm]
Location of the 2
Large Washers
for Balance, x
[cm]
Lever Arm of Small
Washer(s)
20.5-0 [cm]
Lever Arm for the Lever Arm of Large
Ruler Mass
Washer
20. 5 – Xem [cm]
X-20.5 [cm]
1 washer for 1*
Trial
15.2 cm
23 cm
20.5 cm
5.3 cm
2.5 cm
1 washer for 2nd
Trial
15.2 cm
23 cm
20.5 cm
5.3 cm
2.5 cm
2 washers for 1
Trial
15.2 cm
23.6 cm
20.5 cm
5.3 cm
3.1 cm
Number of Small
Washers at 0 cm
Data Table 2: Location of Masses for Balancing the Ruler
Location of Center
of Mass of the
Ruler, xcm [cm]
Location of the Large
Washer for Balance, x
[cm]
Lever Arm of Small
Washer(s)
Lever Arm of Large
Washer
2 washers for
15.2 cm
23.7 cm
20.5 cm
5.3 cm
3.2 cm
2nd Trial
xcm - 0 [cm]
x – Xcm [cm]
1 washer for 1" Trial
15.2 cm
16.5 cm
15.2 cm
1.3 cm
3 washers for 1"
Trial
15.2 cm
24.5 cm
20.5 cm
5.3 cm
4 cm
1 washer for 2nd Trial
15.2 cm
16.6 cm
15.2 cm
1.4 cm
2 washers for 1 Trial
15.2 cm
17.7 cm
15.2 cm
2.5 cm
2 washers for 2nd Trial
15.2 cm
18 cm
15.2 cm
2.8 cm
3 washers for 2nd
Trial
15.2 cm
24.4 cm
20.5 cm
5.3 cm
3.9 cm
3 washers for 1st Trial
15.2 cm
19.1 cm
15.2 cm
3.9 cm
3 washers for 2nd Trial
15.2 cm
19.1 cm
15.2 cm
3.9 cm
Data Table 3: Torques
Number of Small
Washers at 0 cm
Anti-clockwise
Torque [cm g] {Show
a sample
Clockwise Torque
[cm g] [Show a
% Difference in
Torques
sample Calculation}
1 washer for 1" Trial
Data Table 5: Torques
Number of Small
Washers at 0 cm
a sample
Calculation}
99.20 cm-g
Anti-clockwise
Torque [cm g] {Show
Clockwise Torque
[cm g] [Show a
sample Calculation}
% Difference in
Torques
121.50 cm.g
20.2%
Calculation}
1 washer for 1" Trial
28.12 cm-g
15.03 cm-g
60.66%
1 washer for 2nd Trial
99.20 cm-g
121.50 cm-g
20.2%
1 washer for 2nd Trial
28.12 cm-g
16.18 cm-g
53.91%
2 washers for 1" Trial
137.12 cm-g
150.66 cm-g
9.4 %
2 washers for 1" Trial
56.24 cm.g
28.9 cm-g
64.22%
2 washers for 2nd Trial
137.12 cm.g
155.52 cm-g
12.6 %
2 washers for 2nd Trial
56.24 cm.g
32.37 cm.g
53.87%
3 washers for 1" Trial
175.04 cm.g
194.40 cm-g
10.5%
3 washers for 1" Trial
84.36 cm.g
45.08 cm-g
60.96%
3 washers for 2nd Trial
175.04 cm.g
189.54 cm.g
8.0 %
3 washers for 2nd Trial
84.26 cm-g
45.08 cm.g
60.69%
(Ctrl)
Transcribed Image Text:Data Table 4: Location of Masses for Balancing Three Masses Data Table 1: Mass Values Item Ruler Small Washer 1 Small Washer 2 Small Washer 3 Large Washer 1 Large Washer 2 Loop of String 1 with Paper Clip at 0 cm Loop of String 2 with Paper Clip Number of Small Location of Mass [g] 11.56 g 1.85 g 1.85 g 1.85 g 24.30 g 24.30 g 1.20 g 1.22 g Washers at 0 cm Center of Mass of the Ruler, Xem [cm] Location of the 2 Large Washers for Balance, x [cm] Lever Arm of Small Washer(s) 20.5-0 [cm] Lever Arm for the Lever Arm of Large Ruler Mass Washer 20. 5 – Xem [cm] X-20.5 [cm] 1 washer for 1* Trial 15.2 cm 23 cm 20.5 cm 5.3 cm 2.5 cm 1 washer for 2nd Trial 15.2 cm 23 cm 20.5 cm 5.3 cm 2.5 cm 2 washers for 1 Trial 15.2 cm 23.6 cm 20.5 cm 5.3 cm 3.1 cm Number of Small Washers at 0 cm Data Table 2: Location of Masses for Balancing the Ruler Location of Center of Mass of the Ruler, xcm [cm] Location of the Large Washer for Balance, x [cm] Lever Arm of Small Washer(s) Lever Arm of Large Washer 2 washers for 15.2 cm 23.7 cm 20.5 cm 5.3 cm 3.2 cm 2nd Trial xcm - 0 [cm] x – Xcm [cm] 1 washer for 1" Trial 15.2 cm 16.5 cm 15.2 cm 1.3 cm 3 washers for 1" Trial 15.2 cm 24.5 cm 20.5 cm 5.3 cm 4 cm 1 washer for 2nd Trial 15.2 cm 16.6 cm 15.2 cm 1.4 cm 2 washers for 1 Trial 15.2 cm 17.7 cm 15.2 cm 2.5 cm 2 washers for 2nd Trial 15.2 cm 18 cm 15.2 cm 2.8 cm 3 washers for 2nd Trial 15.2 cm 24.4 cm 20.5 cm 5.3 cm 3.9 cm 3 washers for 1st Trial 15.2 cm 19.1 cm 15.2 cm 3.9 cm 3 washers for 2nd Trial 15.2 cm 19.1 cm 15.2 cm 3.9 cm Data Table 3: Torques Number of Small Washers at 0 cm Anti-clockwise Torque [cm g] {Show a sample Clockwise Torque [cm g] [Show a % Difference in Torques sample Calculation} 1 washer for 1" Trial Data Table 5: Torques Number of Small Washers at 0 cm a sample Calculation} 99.20 cm-g Anti-clockwise Torque [cm g] {Show Clockwise Torque [cm g] [Show a sample Calculation} % Difference in Torques 121.50 cm.g 20.2% Calculation} 1 washer for 1" Trial 28.12 cm-g 15.03 cm-g 60.66% 1 washer for 2nd Trial 99.20 cm-g 121.50 cm-g 20.2% 1 washer for 2nd Trial 28.12 cm-g 16.18 cm-g 53.91% 2 washers for 1" Trial 137.12 cm-g 150.66 cm-g 9.4 % 2 washers for 1" Trial 56.24 cm.g 28.9 cm-g 64.22% 2 washers for 2nd Trial 137.12 cm.g 155.52 cm-g 12.6 % 2 washers for 2nd Trial 56.24 cm.g 32.37 cm.g 53.87% 3 washers for 1" Trial 175.04 cm.g 194.40 cm-g 10.5% 3 washers for 1" Trial 84.36 cm.g 45.08 cm-g 60.96% 3 washers for 2nd Trial 175.04 cm.g 189.54 cm.g 8.0 % 3 washers for 2nd Trial 84.26 cm-g 45.08 cm.g 60.69% (Ctrl)
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