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Simple Pendulum

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Introduction

Physics Lab Report:

The Simple Pendulum

Done By: Izzat Sharif        

IBDP/11 (A)

Physics HL

Aim: - To measure the acceleration due to gravity by a simple pendulum

Hypothesis: - The period of an oscillating pendulum is given by the equation: T = 2π√L/g.  Where T is the period time of the pendulum, L is the length of the thread of the pendulum, and g is the gravitational acceleration.  The acceleration due to gravity can be calculated using this formula and by knowing both the time

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Middle

0.8950

19.92

19.90

19.50

Data Processing: -

L= 0.2280 m, T1 =9.85 s, T2 =9.55 s, T3= 9.85 s

Tm = 9.85 + 9.55 + 9.85 / 3 = 9.75s

T = 9.75 / 10 = 0.975s

T2 = 0.9752 = 0.951s

Uncertainty of Tm = 0.01 + 0.01 + 0.01 = 0.03

Uncertainty of T = 0.03 / 9.75 x 0.975 = 0.003

Uncertainty of T2 = 2(0.003 / 0.975) x 0.950625 = 0.00585

Tm = 9.75s ± 0.03s

T = 0.975s ± 0.003s

T2 = 0.95100s ± 0.00585s2
g = 4π² x 0.2280 / 9.75 = 9.469ms
-2

Table 2: - Shows the average values of the period and the period of one oscillation

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Conclusion

image00.png

image01.png

Gradient = Y2 – Y1 / X2 – X1

               = 3.9100 – 0.95100 / 1.977 – 0.975

               = 2.959 / 1.002

               = 2.953

Conclusion and Evaluation: -

The gravitational energy that was found is 9.212 ms-2 ± 0.740 ms-2 there were many errors that could have occurred during this experiment starting with human errors. When turning on the stopwatch it might be too late or to early so we need a more complex structure that lets a stopwatch start automatically when we let the pendulum move.  Also when the oscillations are finished we don’t stop them automatically, and other systematic errors like the calibration of the rules and all of this makes large sources of errors making our work not accurate    

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