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(A) ERROR ANALYSIS The purpose of this exercise is to analyze the data of Table

ID: 3307792 • Letter: #

Question

(A) ERROR ANALYSIS The purpose of this exercise is to analyze the data of Table 1, taken from the simple pendulum experiment. The measurements of effective length, L, and the time period, , of simple harmonic oscillations have been performed. Calculate the mean value, deviation, mean deviation, s madmum possible error. Complete Table 1. deviation and Table 1. Calculation of mean value, deviation, mean deviation standard deviation and maximum possible error. ndard Max Deviation Possible Mean 22 Value Cs) a Error Cs) 28 ,1 1.4 | 1.2 | 1.3 -7 63 13 16 LA 13 S 723 17 17 18131. 67 11.8|1.9 | 1.7 2.9 98 20 21 19 222

Explanation / Answer

Length L (cm)

Time period T (s)

Mean value T

(s)

Deviation d (s)

Mean d

(s)

d12

(s2)

d22

(s2)

d32

(s2)

d42

(s2)

Standard deviation

(s)

S.E

T2

(S2)

T1

T2

T3

T4

d1

d2

d3

d4

0

0

0

0

0

0.0

0.0

0.0

0.0

0.0

0.0

0.00

0.00

0.00

0.00

0.00

0.000

0.0

25.0

1.0

1.2

1.1

1.3

1.2

0.2

0.0

0.1

0.2

0.1

0.04

0.00

0.01

0.04

0.02

0.011

1.3

42.8

1.3

1.2

1.4

1.2

1.3

0.0

0.1

0.1

0.1

0.1

0.00

0.01

0.01

0.01

0.01

0.004

1.6

56.3

1.8

1.6

1.4

1.3

1.5

0.3

0.1

0.1

0.2

0.2

0.09

0.01

0.01

0.04

0.04

0.019

2.3

72.3

1.7

1.7

1.8

1.5

1.7

0.0

0.0

0.1

0.2

0.1

0.00

0.00

0.01

0.04

0.01

0.006

2.8

87

1.8

1.9

1.7

1.5

1.7

0.1

0.2

0.0

0.2

0.1

0.01

0.04

0.00

0.04

0.02

0.011

3.0

90.1

1.9

1.8

1.7

1.6

1.8

0.2

0.1

0.1

0.2

0.1

0.04

0.01

0.01

0.04

0.03

0.013

3.1

99.8

2.0

2.1

1.9

2.2

2.1

0.0

0.1

0.2

0.2

0.1

0.00

0.01

0.04

0.04

0.02

0.011

4.2

Length L (cm)

Time period T (s)

Mean value T

(s)

Deviation d (s)

Mean d

(s)

d12

(s2)

d22

(s2)

d32

(s2)

d42

(s2)

Standard deviation

(s)

S.E

T2

(S2)

T1

T2

T3

T4

d1

d2

d3

d4

0

0

0

0

0

0.0

0.0

0.0

0.0

0.0

0.0

0.00

0.00

0.00

0.00

0.00

0.000

0.0

25.0

1.0

1.2

1.1

1.3

1.2

0.2

0.0

0.1

0.2

0.1

0.04

0.00

0.01

0.04

0.02

0.011

1.3

42.8

1.3

1.2

1.4

1.2

1.3

0.0

0.1

0.1

0.1

0.1

0.00

0.01

0.01

0.01

0.01

0.004

1.6

56.3

1.8

1.6

1.4

1.3

1.5

0.3

0.1

0.1

0.2

0.2

0.09

0.01

0.01

0.04

0.04

0.019

2.3

72.3

1.7

1.7

1.8

1.5

1.7

0.0

0.0

0.1

0.2

0.1

0.00

0.00

0.01

0.04

0.01

0.006

2.8

87

1.8

1.9

1.7

1.5

1.7

0.1

0.2

0.0

0.2

0.1

0.01

0.04

0.00

0.04

0.02

0.011

3.0

90.1

1.9

1.8

1.7

1.6

1.8

0.2

0.1

0.1

0.2

0.1

0.04

0.01

0.01

0.04

0.03

0.013

3.1

99.8

2.0

2.1

1.9

2.2

2.1

0.0

0.1

0.2

0.2

0.1

0.00

0.01

0.04

0.04

0.02

0.011

4.2