Data Table 3: Part II: Varying the Angular Displacement of the Pendulum Bob Trials Varying angle Mass of pendulum bob [kg] (constant) Pendulum Length, L [m] Angular t, Time for 5 Displacement oscillations Period, T (==) [sec.] (constant) [degrees] [sec.] (changes) 1st angle 0.04862 kg 1.5 m 45° 12.00 s 2.4 s 2nd angle 0.04862 kg 1.5 m 30° 11.85 s 2.37 s 3rd angle 0.04862 kg 1.5 m 20° 11.77 s 2.354 s 4th angle 0.04862 kg 1.5 m 10° 11.32 s 2.264 s Analysis Data Table for Part II: Varying the Angular Displacement of the Pendulum Bob Pendulum Length, L Period, T (==) [sec.] [m] (constant) (from the data table) Calculated Period [sec.] (from equation 14) % Error in the Period 1.5 m 2.4 s 2.32% 2.457 s 1.5 m 2.37 s 2.457 s 3.54% 1.5 m 2.354 s 2.457 s 4.20 % 1.5 m 2.264 s 2.457 s 7.86%
Data Table 3: Part II: Varying the Angular Displacement of the Pendulum Bob Trials Varying angle Mass of pendulum bob [kg] (constant) Pendulum Length, L [m] Angular t, Time for 5 Displacement oscillations Period, T (==) [sec.] (constant) [degrees] [sec.] (changes) 1st angle 0.04862 kg 1.5 m 45° 12.00 s 2.4 s 2nd angle 0.04862 kg 1.5 m 30° 11.85 s 2.37 s 3rd angle 0.04862 kg 1.5 m 20° 11.77 s 2.354 s 4th angle 0.04862 kg 1.5 m 10° 11.32 s 2.264 s Analysis Data Table for Part II: Varying the Angular Displacement of the Pendulum Bob Pendulum Length, L Period, T (==) [sec.] [m] (constant) (from the data table) Calculated Period [sec.] (from equation 14) % Error in the Period 1.5 m 2.4 s 2.32% 2.457 s 1.5 m 2.37 s 2.457 s 3.54% 1.5 m 2.354 s 2.457 s 4.20 % 1.5 m 2.264 s 2.457 s 7.86%
Chapter1: The Study Of Motion
Section: Chapter Questions
Problem 1CA: The original “clock” used to define the length of the second was the daily rotation of Earth about...
Related questions
Question
Examine the data and % error values in Data Table 3 where the angular displacement of the simple pendulum decreased but the mass of the pendulum bob and the length of the pendulum remained constant. Describe whether or not your data shows that the period of the pendulum depends on the angular displacement of the pendulum bob, to within a reasonable percent error.
![Data Table 3: Part II: Varying the Angular Displacement of the Pendulum Bob
Trials
Varying
angle
Mass of
pendulum
bob [kg]
(constant)
Pendulum
Length, L [m]
Angular
t, Time for 5
Displacement oscillations
Period, T (==)
[sec.]
(constant)
[degrees]
[sec.]
(changes)
1st angle
0.04862 kg
1.5 m
45°
12.00 s
2.4 s
2nd angle
0.04862 kg
1.5 m
30°
11.85 s
2.37 s
3rd angle
0.04862 kg
1.5 m
20°
11.77 s
2.354 s
4th angle
0.04862 kg
1.5 m
10°
11.32 s
2.264 s
Analysis Data Table for Part II: Varying the Angular Displacement of the
Pendulum Bob
Pendulum Length, L
Period, T (==) [sec.]
[m] (constant)
(from the data table)
Calculated Period [sec.]
(from equation 14)
% Error in the
Period
1.5 m
2.4 s
2.32%
2.457 s
1.5 m
2.37 s
2.457 s
3.54%
1.5 m
2.354 s
2.457 s
4.20 %
1.5 m
2.264 s
2.457 s
7.86%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08ba6b13-0037-4514-a799-394b5d4dfa4e%2F5aa81cfc-3be0-4846-85ab-711a7842f519%2Fo15enz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Data Table 3: Part II: Varying the Angular Displacement of the Pendulum Bob
Trials
Varying
angle
Mass of
pendulum
bob [kg]
(constant)
Pendulum
Length, L [m]
Angular
t, Time for 5
Displacement oscillations
Period, T (==)
[sec.]
(constant)
[degrees]
[sec.]
(changes)
1st angle
0.04862 kg
1.5 m
45°
12.00 s
2.4 s
2nd angle
0.04862 kg
1.5 m
30°
11.85 s
2.37 s
3rd angle
0.04862 kg
1.5 m
20°
11.77 s
2.354 s
4th angle
0.04862 kg
1.5 m
10°
11.32 s
2.264 s
Analysis Data Table for Part II: Varying the Angular Displacement of the
Pendulum Bob
Pendulum Length, L
Period, T (==) [sec.]
[m] (constant)
(from the data table)
Calculated Period [sec.]
(from equation 14)
% Error in the
Period
1.5 m
2.4 s
2.32%
2.457 s
1.5 m
2.37 s
2.457 s
3.54%
1.5 m
2.354 s
2.457 s
4.20 %
1.5 m
2.264 s
2.457 s
7.86%
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