Experiment of Hookes Law

Experiment of Hookes Law Investigating Hooke’s Law Aim This experiment is aimed to investigate the relationship between the mass that is being slotted at the end of spring and the time taken for the spring to make a 20 complete oscillations. Hypothesis As the mass of the end of the spring increases, the time period for the spring to complete 20 oscillation will also increase. This is because in newton’s second law which is F = ma, if the acceleration is being derived with the presence of time in its formula, it will be F = m(v-u)/t. Which proves that, mass is directly proportional to time. As the mass increases, the time will also increase. Variables Independent variable: Mass that is being slotted at the end of the spring (kg) Dependent variable: Time period taken by the spring to make 20 complete oscillations (s) Controlled variable: i) Spring constant ii) Gravitational acceleration iii) Length of spring iv) Amount of spring oscillations v) Air resistance vi) Amplitude of oscillations Controlling the variables Mass that is being slotted at the end of the spring: The mass that is being slotted at the end of the spring is manipulated from 0.1kg, 0.2kg, 0.3kg, 0.4kg and 0.5kg. Time period taken by the spring to make 20 complete oscillations: With the aid of digital stopwatch, the time period is taken when the spring had completed in making 20 oscillations. This procedure is repeated 3 times and an average reading is taken. Spring constant: The spring constant is kept constant so that the results are relative to each other. It will be controlled by using the same spring throughout the whole experiment. Gravitational acceleration: The gravitational acceleration is kept constant by conducting the experiment in the same place until the end. Amount of spring oscillations: The amount of oscillations is controlled to 20 so that the results are more accurate. The exact results will be divided by 20 afterwards. Air resistance: Due to the place that the experiment is being conducted in a room, the fan and the air conditioner are switched off to reduce the air resistance. The experiment is conducted in the same place until the end to fix the air resistance. Amplitude of oscillations: The amplitude will be controlled each time the mass is increased by using the same length in extending the spring to make is oscillate. For each trial, the spring is extended 5cm downwards. This procedure will be aided by a meter ruler. Materials list Retort stand Clamp and stand Meter ruler Mass holder Slotted mass Digital stopwatch Spring Diagram Method Set up the apparatus as shown in the diagram, with one end of the spring attached to the horizontal support on the clamp stand. Attach the slotted mass of 0.1kg at the end of the spring. Put the meter ruler next to spring and measure the extension. Pull the slotted mass holder down to 5cm and then release it. Let it oscillates for 20 times. Take the time taken for the spring to oscillate completely for 20 times using digital stopwatch. Repeat step 4 to 6 two more times. Record the data each time and take an average reading. Repeat step 2 to 7 by using different slotted mass, from 0.2kg, 0.3kg, 0.4kg, and 0.5kg. Results Data presentation A graph to show the relationship between the mass that is being slotted at the end of the spring, M, and the time taken for one oscillation, T. Data analysis The relationship between mass that is being slotted at the end of the spring and the time taken for spring to oscillate one cycle appears to be non-linear. The data therefore will be processed in order to find a relationship between this two variables either it is directly proportional or not. The graph is parabolic. Hence the T can be manipulated to become T2 so that the graph can be plotted with a variable of mass against T2. Data processing Table 2 – Mass that is being slotted at the end of spring, M, and squared of time taken for one oscillation, T2 Presentation and analysis of the processed data A graph shows the relationship between the mass that is being slotted at the end of the spring, M, and the squared of time taken for one oscillation,T2. Analysis of the graph Gradient of best fit line = 0.50/0.32 = 1.56 kgs-2 Gradient of steepest line = 0.50/0.30 = 1.67 kgs-2 Gradient of shallowest line = 0.42/0.34 = 1.24 kgs-2 For the second graph, it was proved that mass that is being slotted at the end of spring is direclty proportional to the squared of time period. Mathematically, m ÃŽ ± T2 After the investigation and the experiment that had been done, it was found that the formula relating the mass that is being slotted at the end of spring and time period of an oscillating spring is : We know that ; T = 2Ï€/Æœ Where Æœ = k(constant) in this investigation. Therefore, T = 2Ï€ T2 = Which is of the form, y = mx + c (equation of straight line) From the investigation, y is m, m is 4Ï€2/k and x is T2. The gradient of the line is therefore equal to 4Ï€2/k , we can now find the spring constant: Therefore, k on the best fit line ; 1.56 = 1/ = 1/1.56 k = 61.59 Nm-1 The range of uncertainty in this value can be calculated using both the maximum and the minimum lines on the graph. Maximum gradient ; 1.67 = 1/ = 1/1.67 k = 65.93 Nm-1 Minimum gradient ; 1.24 = 1/ = 1/1.24 k = 48.96 Nm-1 Therefore the spring constant, k is in the range of 48.96 Nm-1 to 65.59 Nm-1. Conclusion The aim of this experiment is to investigate the relationship between the mass that is being slotted at the end of spring and time period of oscillation. As the hypothesis being made earlier that mass would be directly proportional to time period of oscillation, it is clearly was wrong as the graph of mass against time period is obviously non-linear. The second graph of mass against squared of time period is however turned out to be linear and therefore it can be concluded that mass is directly proportional to the squared of time period. After the investigation, this conclusion is supported as the equation for time period of an oscillating spring is T = 2Ï€ T2 = So, T2 ÃŽ ± m The gradient of straight line was then used to calculate the spring constant, k, for the spring used in this experiment. This is because the gradient is equal to 1/ The value can be compared to the theoretical value by using Hooke’s so as to verify the result whether it is plausible or not. When the spring is acted a force of 1N, the extension was seen to be 1.6cm. The spring constant can be determine by using the formula of Hooke’s law; F = kx k = 1/0.016 k = 62.5 Nm-1 Calculating percentage deviation: x 100% = 1.5% The actual value and the theoretical value is not that far and only 1.5% in the percentage deviation. In conclusion, it can be said that this experiment is successful and the results are accurate. Evaluation The method and apparatus used worked well throughout the whole experiment. The results obtained are differ from the actual results. This is because they are maybe some mistakes were made during taking the reading or making the experiment works. There are some improvements that were made when collecting the data that were not stated in the original plan. Parallax error occurs when reading the ruler which the recorder’s eye level is not perfectly perpendicular to the ruler. The slotted mass were considered to be the same. Just one of the slotted mass was weighted and for one slotted mass the mass is 0.1kg. Without hesitation, the other slotted mass were all considered to be 0.1kg in mass too. This may have produced a systematic error, depending on how accurate the masses were and consistency of their inaccuracy. When lighter slotted mass were used, the oscillations was so fast. Random errors can occur. Suggested that, the spring should be let to oscillation more so that the results will be more precise. Suggested improvements The investigation could has been more accurate and precise if the following modifications were to be taken: Make sure that the eye is perpendicular to the ruler when taking the reading when doing the extension of spring. This will avoid parallax error. Use another ruler to point at the ruler when taking the reading. This will aid to read the meter ruler easier and more precise. This will avoid parallax error. To make the time taken more accurate, use ultra-sonic motion detector that is placed below the oscillating spring. The ultra-sonic motion detector will collect data more precisely because it does not involve the human interaction which is affected by human reaction. Take more reading and take the average as the lesser the reading are taken, it will create more random errors.

Apollo 13 Essay

For those not old enough to have lived through it, a story of shooting for a landing on the moon, suffering an explosion on the spacecraft on the way to the moon, not landing on the moon, and then narrowly making it home to Earth is the story of Apollo 13. When facing issues, conflicts, and the attainment of goals, having the resources of a fully functional manager and team are irreplaceable. A manager that has clear goals and strategies in place is more likely to succeed even when faced with the greatest types of adversity. Every employee of NASA should know about the tragic event of Apollo 13. The background of the team began with the completion between the U. S. and Russia and their space exploration programs. What started out as a routine trip to the moon and back soon became one of the biggest crises NASA had ever experienced. From understanding the plight of the spacecraft, to knowing what needed to be done, to creating a CO2 converter out of materials only available on the spacecraft, the flight is a clear lesson on how to manage a team in a crisis. In many projects, it always comes back to a stressful situation, where quick decisions must be made which have a major impact on the achievement of the task at hand. Many managers often ask for advice on how to handle such situations in order to be a good leader and achieve maximum results. In order to be an effective manager and to be able to influence other and exercise high degrees of control, some rules should be followed. I will give a few examples of how Gene Kranz managed to promote teamwork and to achieve the best possible solutions despite unprecedented problems, lack or resources and time pressure. One must remain optimistic and believe in themselves and the team to achieve a set goal. Without personal convictions managers will not be able to motivate the team to developed new solutions, continue to working and foster collaboration. Gene demonstrated principled management and a leadership in demanding the best from his team while respecting their efforts no matter the outcome. One great thing about Gene’s management was that is set a standard of excellence. With statements like â€Å"I don’t care about what anything was meant to do, I care about what it can do. This set in motion self-management by various supporting teams. This shows us important lessons that we can apply to other environments. Make sure to clearly identify roles and responsibilities of each and every team member. Communication is also a key in managing a team effectively. In the movie one of the team members unplugs his TV and takes his phone off the hook which cost everyone value time and inpu t in solving this crisis. Managers should make sure they can get in touch with employees. Create a policy if you must. An over authoritarian style of management with a top down principal is sometimes inappropriate. Managers often give instructions, tasks and fiat without asking the employee for their opinion. In contrast managers with a cooperative democratic style of management involve employees in decision making. Decisions are taken after detailed discussion in working groups. Information should be forwarded to a great extent through all communication channels. Gene Kranz was drawing at the board and listened to his team and their suggestions. And they all discussed the suggestions together. Without this democratic management style of Gene Kranz, the team would not have been as successful. Another issue is to work the problem correctly. Defining the problem is the hardest part of problem solving. As a manager it is important to define and communicate the problems which must be solved. Otherwise, no team will be able to find suitable solutions. Gene Kranz identified all the problems and formed special teams to address them. He made it clear to the teams which objects could be used. Only the objects that were available to the astronauts could be used. He wasted no time in complaining about what objects were not available or missing to solve the problem. He was action oriented and emphasized problem solving. It is also important to be a visible manager or leader. A good manager shoulders responsibility and conveys to all team members that they will work through the problem. Another trait of an effective manager is respect for others. Too often in today’s corporate environment, we don’t respect the judgment of those actually doing the work. Moreover, a crisis is not a time for accusations. The primary objective should be to handle the situation together and make the best of it. Gene Kranz did not ask at any time after the explosion, how such an explosion could have happened. Neither the astronauts nor Mission Control would have benefitted from the discussion of guilt, creative problem solving was much more important. In spite of all the negative talk, Gene told them failure was not an option, and they did not fail. Building trust must be combined with effective communication. Its benefit was evident in the film through the obstacles the team overcame. As a team grows together through strong management, their level of trust to achieve a collective goal, individuality becomes less important and the team’s objective is placed in the forefront. Action orientation becomes second nature, and feedback is open and honest. Combined, these improve the overall success and functionality of the manager, employee relationship. Finally, nobody wants to experience crisis such as the one in Apollo 13, however there will always be unpredictable problems and managers will have to challenge the situations. An effective manager should place themselves in Gene Kranz’s place for internalizing his way of leading a team. In addition, difficult situations that happen in the past should be analyzed for developing suggestions for managers to learn how to act in prospective situations. Every crisis is unique and demands an individual solution but for learning how to find the best solution, act right as a manager and motivate your team. Being successful and solving problems in a creative way is just but one aspect of being an effective manager and leader for your team.

American Sign Language And Numerical Stories - 1118 Words

A-Z stories in American Sign Language and numerical stories as well were introduced around the 1940’s (Bauman). Gilbert Eastman stated that A-Z and numerical stories were most likely created as early as the 1900’s at the Ohio School for the Deaf (Bauman). However, with the advanced technology of the 20th century American Sign Language numerical and A-Z stories may be cherished and videorecorded for future generations (American Sign Language Literature). What are A-Z and numerical stories? A-Z stories are stories created in American Sign Language that begin with the letter A and continue in succession throughout the alphabet to Z. Numerical stories are similar in that it begins with 1 and continues in some sort of numerical sequence.†¦show more content†¦Although, there rules that apply to both forms of storytelling. The first rule is that the story incorporates paralinguistic mechanisms such as pausing, space, etc. (Bauman). The second rule is that the story fl ows naturally, and clearly makes sense. It is not allowed that a storyteller has a story that is choppy or jumpy to the point that the viewer does not understand. One of the most important rules is that the storyteller succeeds in continuing the story in alphabetical, or numerical, order. Similarly, if one tells the story in the reverse order, one cannot skip a letter, or number (Bauman). Lastly, for alphabetical stories there are allowable deviations and those that are not allowed. For example, many storytellers interchange â€Å"2† hand shapes such as â€Å"N,† â€Å"H,† â€Å"U,† and â€Å"V.† This deviation, along with the interchange of the â€Å"3† hand shapes â€Å"M† and â€Å"W,† are allowable deviations (Bauman). However, the usage of the â€Å"time out† sign as â€Å"T† in A-Z stories is an example of a deviation that is not allowed (Bauman). These vital rules to alphabetical and numerical storytelling aid in contributing to the overall purpose. A-Z and numerical stories have multiple purposes, however, the main purpose is that of a source of entertainment (American Sign Language Literature). Similar to our American Sign Language class, classes throughout the world are assigned to create or research A-Z and numerical stories for school assignments. Although, they are enjoyable and a

Adolf Hitler And The Nazi Germany - 1133 Words

In the book 1984, George Orwell describes a world similar to that of the Nazi Germany. An assortment of parallels can be drawn between the totalitarian governments of Adolf Hitler and Orwell’s fictional â€Å"Big Brother.† Complete power, propaganda, and dehumanization are three main topics related to both Orwell’s novel and Nazi Germany. Complete power is achieved by the dictatorship and totalitarianism. Brainwashing in both cases uses tactics of propaganda and invasion of privacy. Dehumanization is created by torture and death of the weak. This ties directly with George Orwell’s dystopian, or an imagined place in which everything is grim, society in 1984 because Big Brother aimed to achieve the complete power by brainwashing and dehumanizing his people. To begin, the main idea of complete power is one that many rulers throughout history tried to achieve. The form of government that is controlled by one person or party is called a dictatorship. An example of this type of government in history is the government that Adolf Hitler employed in Nazi Germany over the course of his rule. Adolf Hitler created a microcosm in which he ruled with complete power over the Nazi Germany. Hitler’s Germany can also be considered a totalitarian government. Totalitarianism is a systematic government that knows no limit of authority and tries to regulate every facet of one’s life. ADD MORE ABOUT HITLER Additionally, Nazi Germany and Oceania are similar in the fact that both governments areShow MoreRelatedAdolf Hitler As A Leader Of The Nazi Germany1398 Words   |  6 PagesAdolf Hitler was the leader of the Nazi Germany party from 1934 to 1945. During his time of leadership, he initiated fascist policies that ultimately led to World War II. What he is most infamous for the horrendous acts he committed against the Jewish people in Germany as well as other groups of people, such as gypsies, the handicapped, homosexuals, and many others. 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