# Gravity and the Simple Pendulum.

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Introduction

Gravity and the Simple Pendulum Hypothesis: Since the period depends only on the length and on gravity, it is possible by measuring the period and the length of the pendulum to calculate 'g' (g is acceleration due to gravity). The length of the string needs to be measured very accurately to the centre of gravity of the mass to get the accurate value of 'g'. Method: Equipment used: String (7m) Mass (2x50g) Clamp Retort Stand Stop Watch Measuring Tape Protractor 1) The pendulum was hung from the top floor of the school down to the ground floor a few centimeters off the ground. 2) The length of the string was measured with the measuring tape. 3) We displaced the pendulum 5� from its equilibrium position. 4) The pendulum was given a push. 5) The stopwatch was started. 6) ...read more.

Middle

Controlled Variables: Uncontrolled Variables: Mass, length of string, Wind and stairwell. and the displacement. Results: Determining the Acceleration of Gravity Trial # String Length (m) Period (T) sec (10 back-and-forth swings) Experimental Value for 'g' (m/sec�) Accepted Value for 'g' (m/sec�) %Error 1 7 53.34 9.71 9.81 1 2 7 53.28 9.73 9.81 1 3 7 53.21 9.76 9.81 1 Average 7 53.28 9.73 9.81 1 As you can in the results table I included a category for percentage error. I included this category in my results' table so that I could find out how correct our value for 'g' is. Our value of 'g' was 1% incorrect. Discussion: In order to find an accurate value of 'g' we needed to change the equation T=2??l/g to g=4?�*l/T� then we substituted the length (m) ...read more.

Conclusion

Conclusion: Our results prove that our value of 'g' is 1% incorrect, this is quite accurate. Although during the experiment I think we did not measure the length of the pendulum correctly because we did not measure from the pivot point to the center of gravity. We also did not record the period properly because we recorded the period knowing that the pendulum kept hitting the stairwell, when the pendulum hit the stairwell it delayed the period. These two variables probably led us to the incorrect value of 'g'. As an improvement for next time we do this experiment we could measure the length of the pendulum by measuring from the pivot point to the centre of gravity. We could also make the length of the pendulum shorter so that we don't have as much trouble measuring the pendulum and try to do the experiment somewhere where the pendulum won't hit something. ...read more.

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