Using the approximated formula for the period of the oscillation, and the measures of period (T) found in Table 1, estimate the value of g  for each initial angle.  Assuming a value of g equal to 9.81 m/s 2,  calculate the relative error for each initial angle.  Record your results in Table 1.a. formula: t=2pi sqrt l/g

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100%

Length of string:

100 cm

Table 1-Effect of oscillation amplitude

 

The bob’s Time to complete 5 cycles

 

 

 

Mass of bob:

0.025 grams

Initial bob angle: (degrees)

Horizontal amplitude displacement

Trial 1

-Sec

Trail 2

-Sec

Trial 3

-Sec

Avg. 5 cycles.

Std. Dev.

5 cycles

Estimated period 1 cycle.

5 deg

32 cm

10

9.5

10

9.83

,288

2.1

10 deg

52 cm

9.5

9.8

9.9

9.73

.208

1.9

15 deg

59 cm

9.9

10

9.7

9.866

.152

1.98

20 deg

70 cm

9.9

10

9.8

9.9

.1

1.98

25 deg

84 cm

9.9

10

9.9

9.933

.057

1.98

30 deg

97 cm

9.7

10.1

10

9.933

.208

1,94

 

Using the approximated formula for the period of the oscillation, and the measures of period (T) found in Table 1, estimate the value of g  for each initial angle.  Assuming a value of g equal to 9.81 m/s 2,  calculate the relative error for each initial angle.  Record your results in Table 1.a.

formula: t=2pi sqrt l/g 

 

Initial Angle - degrees

Estimated value of g

% error

5

 

 

10

 

 

15

 

 

20

 

 

25

 

 

30

 

 

(Im not sure what time value I am suppose to use to calculate the values for the chart above)



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