Table 1 Trial Angle Hanging mass [degrees] [kg] Moving mass [kg] Calculated acceleration (Equation 5) [] 1 3° 0.02746 kg 0.07231 kg 6.9686 m/s² 2 3° 0.02923 kg 0.07408 kg 6.8892 m/s² 3 3° 0.02924 kg 0.07409 kg 6.8887 m/s² Table 2 Trial Angle [degrees] Hanging mass Moving mass Calculated [kg] [kg] acceleration (Equation 5) .m. [2] 1 6° 0.03116 kg 0.07601 kg 6.6593 m/s² 2 6° 0.03482 kg 0.07967 kg 6.5145 m/s² 3 6° 0.03482 kg 0.07967 kg 6.5145 m/s² Table 3 Trial Angle Hanging mass Moving mass Calculated [degrees] [kg] [kg] acceleration (Equation 5) 1 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 2 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 3 Table 4 Angle Mean acceleration, Standard Deviation, σ m. a 95% Margin of Error (Confidence Level) First 6.9155 m/s² 0.046 m/s² Second 6.5628 m/s² 0.0836 m/s² 0.0521 m/s² 0.0946 m/s² Third 6.3978 m/s² 0 m/s² 0 m/s²
Table 1 Trial Angle Hanging mass [degrees] [kg] Moving mass [kg] Calculated acceleration (Equation 5) [] 1 3° 0.02746 kg 0.07231 kg 6.9686 m/s² 2 3° 0.02923 kg 0.07408 kg 6.8892 m/s² 3 3° 0.02924 kg 0.07409 kg 6.8887 m/s² Table 2 Trial Angle [degrees] Hanging mass Moving mass Calculated [kg] [kg] acceleration (Equation 5) .m. [2] 1 6° 0.03116 kg 0.07601 kg 6.6593 m/s² 2 6° 0.03482 kg 0.07967 kg 6.5145 m/s² 3 6° 0.03482 kg 0.07967 kg 6.5145 m/s² Table 3 Trial Angle Hanging mass Moving mass Calculated [degrees] [kg] [kg] acceleration (Equation 5) 1 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 2 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 3 Table 4 Angle Mean acceleration, Standard Deviation, σ m. a 95% Margin of Error (Confidence Level) First 6.9155 m/s² 0.046 m/s² Second 6.5628 m/s² 0.0836 m/s² 0.0521 m/s² 0.0946 m/s² Third 6.3978 m/s² 0 m/s² 0 m/s²
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 5OQ
Related questions
Question
100%
- Values that are within standard deviations represent measurements that are considered to be near the true value. Review the data from the lab and determine whether your data is within standard deviations. Report, using numerical values, whether your data for each angle is within standard deviations.
- An acceptable margin of error typically falls between 4% and 8% at the 95% confidence level. Review your data for each angle to determine whether the margin of error is within an acceptable range. Report with numerical values, whether your data for each angle is within an acceptable margin of error. Can you help explain what my data means in terms of the standard deviation and the ME? Thanks!
![Table 1
Trial
Angle
Hanging mass
[degrees]
[kg]
Moving mass
[kg]
Calculated
acceleration
(Equation 5)
[]
1
3°
0.02746 kg
0.07231 kg
6.9686 m/s²
2
3°
0.02923 kg
0.07408 kg
6.8892 m/s²
3
3°
0.02924 kg
0.07409 kg
6.8887 m/s²
Table 2
Trial
Angle
[degrees]
Hanging mass
Moving mass
Calculated
[kg]
[kg]
acceleration
(Equation 5)
.m.
[2]
1
6°
0.03116 kg
0.07601 kg
6.6593 m/s²
2
6°
0.03482 kg
0.07967 kg
6.5145 m/s²
3
6°
0.03482 kg
0.07967 kg
6.5145 m/s²
Table 3
Trial
Angle
Hanging mass
Moving mass
Calculated
[degrees]
[kg]
[kg]
acceleration
(Equation 5)
1
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
2
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
3
Table 4
Angle
Mean acceleration,
Standard Deviation, σ
m.
a
95% Margin of Error
(Confidence Level)
First
6.9155 m/s²
0.046 m/s²
Second
6.5628 m/s²
0.0836 m/s²
0.0521 m/s²
0.0946 m/s²
Third
6.3978 m/s²
0 m/s²
0 m/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc993bc3d-2ca5-48d7-9d6f-b44db78b61ed%2Fa4a0d618-530c-4ed1-b836-8bb5508aad8a%2Fr3b6ulk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Table 1
Trial
Angle
Hanging mass
[degrees]
[kg]
Moving mass
[kg]
Calculated
acceleration
(Equation 5)
[]
1
3°
0.02746 kg
0.07231 kg
6.9686 m/s²
2
3°
0.02923 kg
0.07408 kg
6.8892 m/s²
3
3°
0.02924 kg
0.07409 kg
6.8887 m/s²
Table 2
Trial
Angle
[degrees]
Hanging mass
Moving mass
Calculated
[kg]
[kg]
acceleration
(Equation 5)
.m.
[2]
1
6°
0.03116 kg
0.07601 kg
6.6593 m/s²
2
6°
0.03482 kg
0.07967 kg
6.5145 m/s²
3
6°
0.03482 kg
0.07967 kg
6.5145 m/s²
Table 3
Trial
Angle
Hanging mass
Moving mass
Calculated
[degrees]
[kg]
[kg]
acceleration
(Equation 5)
1
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
2
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
3
Table 4
Angle
Mean acceleration,
Standard Deviation, σ
m.
a
95% Margin of Error
(Confidence Level)
First
6.9155 m/s²
0.046 m/s²
Second
6.5628 m/s²
0.0836 m/s²
0.0521 m/s²
0.0946 m/s²
Third
6.3978 m/s²
0 m/s²
0 m/s²
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