Investigate the effect of changing the length of a pendulum on the period of oscillation of the pendulum.

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                Table 1. Equipments and Uncertainties

Results:

        Table 2. Raw Data        

        Table 3. Average time taken for Each Lengths of Wire        

        

        Uncertainty for calculating average time taken

        Adding absolute uncertainties

        (3.84±0.02)+(3.78±0.02)+(3.79±0.02)+(3.81±0.02)+(3.78±0.02)+(3.80±0.02)+(3.                81±0.02)

        = (3.84+3.78+3.79+3.81+3.78+3.80+3.81) ± 7(0.02)

        = 26.62±0.14

        Dividing absolute uncertainties

              (26.62±0.14)/7        = (26.62±0.53%)/7

                                = 3.80±0.53%

                                = 3.80s ± 0.02s

        Table 4. Time Taken per Period

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        Uncertainty for calculating period

              (3.80s±0.02s)/5        = (3.80±0.53%)/5

                                = 0.76±0.53%

                                = 0.76s ± 4.03x10-3s

        Graph 1. Period per Length

                

        The period of the pendulum could be calculated with the formula;


        Where T is the period, l is the length of the pendulum in meters, and g is the         gravity which is 9.81m/s
2.

        Table 5. Theoretical Values

        Uncertainty for theoretical value of the period

        Multiplying and dividing absolute uncertainties

              T        = 2 x pi x (0.10/9.81)1/2

                = 2 x pi x (0.10m±0.01m/9.81)1/2

                = 2 x pi x (0.10±10%/9.81)1/2

                = 2 x pi x (0.0102±10%)1/2

                = ...

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