Determination of Gravitational Acceleration

Determination of Gravitational AccelerationIntroductionPendulums can be delimit as a body suspended from a stiff support so that it swings freely back and forth under the puzzle out of gravity, commonly employ to regulate various devices, especially clocks.Worth (2008) states that pendulums begin been apply for thousands of years. The ancient Chinese used the pendulum principle to try and encourage predict universequakes. Hundreds years ago the famous Italian scientist Galileo was the starting signal European to really study pendulums and he discovered that their regularity could be used for keeping measure, leading to the first clocks. Worth (2008) goes on to explain that in 1656, the Dutch inventor and mathematician, Huygens, was the first man to successfully build an undefiled clock. It was the first sentence pendulums were used for humans everyday life.There be four basic laws of a pendulum Van Albert (1995) explain that firstly the time it takes for a pendulum to c omplete a swing is related to the substantial settle of the duration of reap of the pendulum. Secondly the time it takes for the pendulum to swing is related to the unbowed root of the gravitative quickening. Gravitational speedup can be defined as the force that attracts objects in space towards each other, and that on the earth pulls them towards the centre of the planet, so that things fall to the ground when they are dropped (Wikipedia 2010). Thirdly the time it takes for the pendulum to swing is not related to the potful and material of the low-t cardinald musket cluster at the end of the pendulum. Finally the time is independent of the greatest outperform that a wave provided the greatest distance that a wave is clear.The principles of a pendulum can be proven. This experiment is button to record the effect ever-changing gravitational speedup has on a pendulum, and will determine gravitational acceleration employ a unanalyzable pendulumMethodsEquipment of det ermination of gravitational acceleration using a simple pendulumA presbyopic foregather of stringA wooden blockA tenuous nutA one meter gigantic rulerA protractorVernier mensurateA stop-watchThis experiment is talking about determination of gravitational acceleration using a simple pendulum fig 1 was showed that the simple pendulum was used in this experiment.ProcedureThe long lay out of string and the small ball were connected.The small ball was suspended from the wooden block with the long lay out of stringsuch as in figure 1The length of the long piece of string L was metrical using the ruler. wherefore the diameter of the small ball was measured using the vernier caliper. The long piece of string was not stretched. It was measured to the centre of the small ball.The small ball was embossed up about 15 degrees using the protractor, and then(prenominal) released so that oscillations were executed.The time it took for the pendulum to complete a swing T was measured usi ng the stop-watch to time 50 oscillations.Steps 1 to 5 were ingeminate for five more set of L, and each part was done double to verify the correct answer. prove 1 the length of the long piece of string was measured to 0.4 m prove 2 the length of the long piece of string was measured to 0.6 mExperiment 3 the length of the long piece of string was measured to 0.8 mExperiment 4 the length of the long piece of string was measured to 1.0 mExperiment 5 the length of the long piece of string was measured to 1.2 m. dissolving agent CalculationBelow is a table to show the results recorded from trails 1 to 5.Experiment of determination of gravitational acceleration using a simple pendulumTrail oneTrail twoThe time interpreted t for 50 oscillationThe square of period TThe time taken t for 50 oscillationThe square of period TExperiment 1 length of string 0.4 m64 s1.6465 s1.69Experiment 2 length of string 0.6 m78.6 s2.4778.4 s2.46Experiment 3 length of string 0.8 m90.8 s3.3091 s3.31Experiment 4 length of string 1.0 m101.25 s4.10101.2 s4.09Experiment 5 length of string 1.2 m110.7 s4.90110.8 s4.91The average time was cipherd using the canonThe square of period T was calculated using T multiplication T.The information in this table can be plotted in a line represent see graph 1. The vertical bloc shows that the time takenthe square of period T for 50 oscillation. The horizontal axis shows that the different lengths of the piece of string. The gradient of the line shows the gravitational acceleration.DiscussionIn this experiment there were controlled covariants. Controlled variable can be defined as one which is not allowed to change unpredictably during an experiment Answers Corporation (2010). The first controlled variable was the number of swings. Second was the angle of the swing. The last one is mass of the bob, we all kept their same. In addition, there was one data-based variable. The experimental variable can be defined as some values in experiment we change o n purpose. In my experiment, the experimental variable was the length of swings.Error is an experiment word means that mistake, especially one that causes problems or affects the result of some thing. The error can be caused when the small ball was not raised up about 15 degrees, placement, the sum total number of oscillation are not 50.I compared with the data of my classmate, the square period T was proportional to the length of string s. All the points of the graph lie on a straight line so the finish is very reliable over this range. It seems likely that the same trend would reside if the string was made longer. I solve the equation and get the acceleration of gravity is 9.78m/s, its not really correct. I think the biggest problem was that the small ball was not raised up about 15 degrees location and the total number of oscillation are not 50 closeThis experiment is talking about determination of gravitational acceleration using a simple pendulum.Firstly I used five steps to finish this experiment first I connected the long piece of string and the small ball. Second I Suspended The small ball from the wooden block with the long piece of stringsuch as in figure 1. Third I measured the length of the long piece of string L using the ruler and measured the diameter of the small ball using the vernier caliper. Forth I raised up the small ball about 15 degrees using the protractor. twenty percent I unclasped the small and using the stop-watch to measure the time it took for the pendulum to complete a swing T.Secondly I made a graph to show my data about this experiment.Thirdly I used these data to calculate the value of gravitational acceleration.Finally I compared my result with my classmate to dislodge mistakeIn my results, the first two purposes were proving. I measured that the gravitational acceleration is 9.78m/s, it smaller than 9.8m/s. I think one of the most authorised problem is the total number of oscillation are not 50. step the total numbe r of oscillation about 1.20m is easier than short lengths. Because of the speed of the length is 1.2m is lower than the speed of the length is 0.4mIn addition, I think my experiment is good even have some mistake. I will guardedly to measure total number of oscillation I am going to try my best to let my data much exact.