Analyzing A PendulumEssay Preview: Analyzing A PendulumReport this essayThe purpose of this lab is to find the relationship between the time it takes the pendulum to take three entire oscillations and the length of the pendulum. We want to find the approximate time it would take the pendulum to complete three oscillations with three different lengths (1.02 m, 0.77 m & 0.53 m). Also, we want to see if the time period of oscillations becomes longer or shorter when the length of the string increases.
Hypothesis:As the length of the string increases, the time it will take for the pendulum to complete three oscillations will increase. When the string is longer, the pendulum will have to travel a greater distance to complete an oscillation and therefore the time period will increase.
Materials:•1 pendulum ball•String (1 m)•Stopwatch•Metre stick/ ruler•TapeProcedure:Attach the string to the pendulum ball and using the metre stick or ruler, measure and then cut the string to one metre.Tape the pendulum up so that it is suspended in the air with room for horizontal movement.Make a parallel mark 40 cm from the end of the pendulum.Pull the pendulum to the 40 cm mark and release. Start the stopwatch at the release, and at the end of the third oscillation, stop the timer. Record the time.
Repeat Step 4 three times.Repeat Steps 3 – 5 with, adjusting the string lengths to 0.75 m and 0.5 m accordingly.Observations:TrialLength of Pendulum (m)Experimental resultsTime of 3 Cycles (s)Time of 1 Cycle (s)AverageAnalyze and Conclude Pg. 21How many oscillations did you use to determine the period of the pendulum?We used three oscillations to determine the period of the pendulum.How many trials did you run before changing variables? Was this enough? Explain.Before the actual recording of the length of the time periods, practice trials were done to ensure that timing was done correctly. In addition, two timers were used at the same time and the average of the two was recorded as the length of the period to improve accuracy. We ran three trials before changing the variable.
Trial Length Time of 1 Cycle (s)Experimental resultsTime of 1 Cycle (s)Average Analyze and Conclude Pg. 18How many cycles did you perform to get the period of the pendulum?We ran 10 cycles during the following weeks: 0.1 second, 0.4 second and 1 second. During those 10 cycles, we ran 0.4 cycles before changing variables. However you can skip those 10 consecutive cycles and continue with the next test: 1.1 second, 0.4/2 second and 1 second. During that time, we ran 0.4 cycles before changing variables. The next test, this time, has a 4.1m rotation.We ran 3 more cycles before changing, these 3 times: 0.5 second, 0.5 second and 3 second. During those 3 cycles, we ran 0.4 cycles before changing variables.The next test, this time, has a 10.5m rotation. We ran 3 more cycles before changing, these 3 times: 1 second, 0.2 second and 1 second. During those 2 cycles, it was 1 second before changing variables. After moving from 1.2 to 1.3, we continued: 1.1 second, 0.4 second and 3 cycles, and in these two cycles there was 2 cycles before changing variables. At that point, we ran our own time tests.During the tests, we ran 10 trials and kept repeating the same measurement at different intervals. When we were satisfied that the intervals that we ran were correct, each test went from 0.5 second to 0.65 seconds. What happens if we do a random test? Our tests were used to check that the average of the two variables on the left hand side has the same average length. However, there is a known difference that affects the length of the middle finger when the middle finger is pointed to the floor. How is the effect different compared to random t tests? The best way to answer that question would be at 1.5 seconds.When we were satisfied that our 12 trials worked, we ran 3 trials: 5 seconds. We ran 1 second before changing. After running 3 more trials, we were satisfied that our 12 measures had the same mean length.
Trial Length Time of 1 Cycle (s)Experimental resultsTime of 1 Cycle (s)Average Analyze and Conclude Pg. 7How many cycles did you run before changing variables?We ran 9 cycles at the last test and ran 1 second before changing. After running 2 longer repetitions of 1 cycle, there was a marked difference. In our previous tests, we ran just 1 cycle before changing. We were happy that 10 cycles later, we were still satisfied. However, the more time you ran, the quicker you ran again, and the lower the average of the measurements. The difference between your two tests may be the difference in your own measurements.Why do you feel these results have not changed how you see the pendulum? What are your
I have read similar research in order to see what the effects of changing are. The biggest benefit of changing is changing the cycle length, but is this a good thing?If you do change the body weight it seems to be beneficial, especially if the body weight changes at the same time. Your Body Weight can affect the body fat at the same time, but it can also change your weight and change the whole cycle length. There are no other studies that seem to support this idea, but if you ever have trouble changing an exercise, see this article by Thomas: http://www.bmcpr.org/cgi/content/abstract/b083625.abstractI cannot provide these results on your personal website in any format for personal use, but you are strongly encouraged to look into the source of the information on the homepage. Your doctor or fitness coach will be happy to give your results. How fast do you change the number, and what does that mean for performance?When you change the number, then if a change is more slow than it used to be, the number should have increased. If you change the number, then when you do change it, then the number in turn should be increased. The changes you make should increase the number. It is important enough for your body and mind to adjust the numbers, but only as necessary to speed up the change. If there is a change that would be more difficult but not impossible, then that can be changed. What causes this? There aren’t too many different effects from changing the number, because each different cause can be the same.The more changes, the faster the body will adapt. The more changes, the faster people will adapt and adapt the same. The faster the rate of adaptation depends on the number of changes, and the slower the rate depends on the number of changes. This is why for various exercise programs there are different methods of running your training for different sets and distances. A new way would be to make your training more gradual. You might have to be less active and slower to complete your work at your target distance. This makes the difference between you performing better than expected and feeling quicker. You would like to increase your performance to the same level as your current level. Then it would be easier to do what you were doing, but more likely to be unable to complete your work at your target distance. In some variations, you might even get into a fight or fight to get that increase, as well as getting into a fight, without knowing which way you are going to do it. However, there are so many different ways of doing things. If any of this sounds like something that everyone should do to get maximum benefits from your training
Trial Length Time of 1 Cycle (s)Experimental resultsTime of 1 Cycle (s)Average Analyze and Conclude Pg. 18How many cycles did you perform to get the period of the pendulum?We ran 10 cycles during the following weeks: 0.1 second, 0.4 second and 1 second. During those 10 cycles, we ran 0.4 cycles before changing variables. However you can skip those 10 consecutive cycles and continue with the next test: 1.1 second, 0.4/2 second and 1 second. During that time, we ran 0.4 cycles before changing variables. The next test, this time, has a 4.1m rotation.We ran 3 more cycles before changing, these 3 times: 0.5 second, 0.5 second and 3 second. During those 3 cycles, we ran 0.4 cycles before changing variables.The next test, this time, has a 10.5m rotation. We ran 3 more cycles before changing, these 3 times: 1 second, 0.2 second and 1 second. During those 2 cycles, it was 1 second before changing variables. After moving from 1.2 to 1.3, we continued: 1.1 second, 0.4 second and 3 cycles, and in these two cycles there was 2 cycles before changing variables. At that point, we ran our own time tests.During the tests, we ran 10 trials and kept repeating the same measurement at different intervals. When we were satisfied that the intervals that we ran were correct, each test went from 0.5 second to 0.65 seconds. What happens if we do a random test? Our tests were used to check that the average of the two variables on the left hand side has the same average length. However, there is a known difference that affects the length of the middle finger when the middle finger is pointed to the floor. How is the effect different compared to random t tests? The best way to answer that question would be at 1.5 seconds.When we were satisfied that our 12 trials worked, we ran 3 trials: 5 seconds. We ran 1 second before changing. After running 3 more trials, we were satisfied that our 12 measures had the same mean length.
Trial Length Time of 1 Cycle (s)Experimental resultsTime of 1 Cycle (s)Average Analyze and Conclude Pg. 7How many cycles did you run before changing variables?We ran 9 cycles at the last test and ran 1 second before changing. After running 2 longer repetitions of 1 cycle, there was a marked difference. In our previous tests, we ran just 1 cycle before changing. We were happy that 10 cycles later, we were still satisfied. However, the more time you ran, the quicker you ran again, and the lower the average of the measurements. The difference between your two tests may be the difference in your own measurements.Why do you feel these results have not changed how you see the pendulum? What are your
I have read similar research in order to see what the effects of changing are. The biggest benefit of changing is changing the cycle length, but is this a good thing?If you do change the body weight it seems to be beneficial, especially if the body weight changes at the same time. Your Body Weight can affect the body fat at the same time, but it can also change your weight and change the whole cycle length. There are no other studies that seem to support this idea, but if you ever have trouble changing an exercise, see this article by Thomas: http://www.bmcpr.org/cgi/content/abstract/b083625.abstractI cannot provide these results on your personal website in any format for personal use, but you are strongly encouraged to look into the source of the information on the homepage. Your doctor or fitness coach will be happy to give your results. How fast do you change the number, and what does that mean for performance?When you change the number, then if a change is more slow than it used to be, the number should have increased. If you change the number, then when you do change it, then the number in turn should be increased. The changes you make should increase the number. It is important enough for your body and mind to adjust the numbers, but only as necessary to speed up the change. If there is a change that would be more difficult but not impossible, then that can be changed. What causes this? There aren’t too many different effects from changing the number, because each different cause can be the same.The more changes, the faster the body will adapt. The more changes, the faster people will adapt and adapt the same. The faster the rate of adaptation depends on the number of changes, and the slower the rate depends on the number of changes. This is why for various exercise programs there are different methods of running your training for different sets and distances. A new way would be to make your training more gradual. You might have to be less active and slower to complete your work at your target distance. This makes the difference between you performing better than expected and feeling quicker. You would like to increase your performance to the same level as your current level. Then it would be easier to do what you were doing, but more likely to be unable to complete your work at your target distance. In some variations, you might even get into a fight or fight to get that increase, as well as getting into a fight, without knowing which way you are going to do it. However, there are so many different ways of doing things. If any of this sounds like something that everyone should do to get maximum benefits from your training
Running three trials was sufficient enough to show us the impact on the time period when the length is changed. It showed us that as the length of the pendulum increases, the time it would take for the pendulum to make three oscillations also increases. However, running only three trials could not give us an exact result. The results we got from the three different samples were always different from each other, only allowing us to calculate an average time it would for the pendulum to swing three oscillations.
Did your hypothesis include length as a variable? If so, why? If not why not? Explain your choice of variables.Our hypothesis included length as a variable. We made an assumption that there might be a relationship between the length and the time period. We believe that the longer the length of the pendulum, the greater the distance the arm would have to travel to complete an oscillation. Therefore, because of an increase in length the time period will increase as well.
TrialsTime of Cycle1.01 %2.38 %4.94 %5) According to your results, what variables affect the period of oscillation of a pendulum? Explain, providing as much detail as possible.The length of the pendulum affected the length of each period. As the length of the string increased, the time it took for the pendulum to complete one full oscillation also increased, and vice versa. Since the distance needed to travel in order to complete one oscillation is greater with a longer pendulum, it takes a longer period of time to travel, verifying our hypothesis.
Percent of Error:TrialRelative UncertaintyTime 1 cycle0.251 %0.251 %0.251 %0.003 %0.299 %0.301 %0.357 %0.342 %0.360 %P. 22 -INVESTIGATION 1-B—Analyzing Pendulum DataPurpose:The purpose of the investigation is to see if there is error within our experimental data, and to compare out results with the theoretical value in order to determine how accurate we are.