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Using a pendulum to find gravityAim:To find the gravity by finding the period of the oscillations of a pendulum and plotting a graph.

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Introduction

Lab Report TITLE: Using a pendulum to find gravity Aim: To find the gravity by finding the period of the oscillations of a pendulum and plotting a graph. Hypothesis and Prediction: - the gravity from the graph is going to equal the gravity from the formula. Variables: The independent variable is the length of the string The Dependent variable is the period of one oscillation Controlled variables are: - mass of the pendulum Equipment: -Brass Ball -string -boss and clamp -stopwatch -2 metal blocks -Meter Ruler -Micrometer -The diameter of the brass ball was measured using a micrometer. Then the value was divided by 2 to give the radius -the length of the string was measured -two metal block were clamped with the string in between, the string was tied to the bob -the bob was pulled to the side and released -the time was started when the bob passed the reference line. ...read more.

Middle

20 39.82 1.991 20 39.94 1.997 2 0.91 20 37.25 1.8625 20 37.34 1.867 20 37.82 1.891 20 37.35 1.8675 3 0.81 20 35.25 1.7625 20 35.6 1.78 20 35.25 1.7625 20 36.13 1.8065 4 0.71 20 33.37 1.6685 20 33.07 1.6535 20 33.16 1.658 20 33.06 1.653 5 0.61 20 30.53 1.5265 20 30.31 1.5155 20 30.29 1.5145 20 30.75 1.5375 6 0.51 20 28.28 1.414 20 28.29 1.4145 20 27.91 1.3955 20 28.9 1.445 7 0.41 20 25.59 1.2795 20 25.21 1.2605 20 24.75 1.2375 20 24.94 1.247 8 0.31 20 21.94 1.097 20 21.79 1.0895 20 22.09 1.1045 20 21.75 1.0875 9 0.21 20 18.28 0.914 20 18.22 0.911 20 19.19 0.9595 20 18.34 0.917 10 0.11 20 13.44 0.672 20 13.34 0.667 20 13.35 0.6675 20 13.41 0.6705 The table contains the length of the string in meters, the number of oscillations, the time per 20 oscillations and the period of one oscillation. ...read more.

Conclusion

Y=3.9244x-0.0087 3.9244=gradient. 3.9244= (4(pi)^2)/g g = (4(pi)^2)/3.9244 g=10.060 from the graph. The average gravity from the formula= 100.614/10= 10.614 Conclusion: - the results where very close to the prediction but they weren't the same as the graph is a scatter diagram. -the result from the graph is more accurate as the graph cancels inaccurate measurements. Evaluation: -the method had weaknesses. -the angle of the pendulum to the reference line isn't the same in each reading which might cause a slight error. -the Air conditional may effect the pendulum; it may change its speed or change its direction. - it is difficult to stop the stopwatch and start it in the reference line exactly which might induce error - sometimes the ball tends to move in a circular motion and the experiment will have to be repeated. ...read more.

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