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Physics Investigatory Project Angular Momentum
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Angular momentum and its properties were devised over time by many of the great minds in physics. Newton and Kepler were probably the two biggest factors in the evolution of angular momentum. Angular momentum is the force which a moving body, following a curved path, has because of its mass and motion. Angular momentum is possessed by rotating objects.
Understanding torque is the first step to understanding angular momentum.Torque is the angular "version" of force. The units for torque are in Newton-meters. Torque is observed when a force is exerted on a rigid object pivoted about an axis and. This results in the object rotating around that axis. "The torque ?
due to a force F about an origin is an inertial frame defined to be ? ? r x F"1 where r is the vector position of the affected object and F is the force applied to the object.To understand angular momentum easier it is wise to compare it to the less complex linear momentum because they are similar in many ways. "Linear momentum is the product of an object's mass and its instantaneous velocity. The angular momentum of a rotating object is given by the product of its angular velocity and its moment of inertia. Just as a moving object's inertial mass is a measure of its resistance to linear acceleration, a rotating object's moment of inertia is a measure of its resistance to angular acceleration."2 Factors which effect a rotating object's moment of inertia are its mass and on the distribution of the objects mass about the axis of rotation.
A small object with a mass concentrated very close to its axis of rotation will have a small moment of inertia and it will be fairly easy to spin it with a certain angular velocity. However if an object of equal mass, with its mass more spread out from the axis of rotation, will have a greater moment of inertia and will be harder to accelerate to the same angular velocity.3To calculate the moment of inertia of an object one can imagine that the object is divided into many small volume elements, each of mass ?m. "Using the definition (which is taken from a formula in rotational energy) I=?ri2?mi and take the sum as ?m?0 (where I is the moment of inertia and ri is the perpendicular distance of the infinitely small mass' distance from the axis of rotation). In this limit the sum becomes an integral over the whole object:I = lim ?ri2?mi = ? r2 dm.
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...ne to follow the transferal of rotational energy to and from linear or other forms of energy.Angular momentum is used to explain many things, and it is has many applications. Angular momentum is also essential to our very existence, without the conservation of angular momentum we might drift into the sun or away into space. Angular momentum is a very important part of physics and physics is a very important part of angular momentum.ENDNOTESRaymond A. Serway, Physics For Scientists and Engineers, (Toronto: Saunders College Publishing, 1996) p. 325.David G. Martindale, Fundamentals of Physics: A Senrior Course, (Canada: D.C.
Heath Canada Ltd., 1986) p. 320.ibidRaymond A. Serway, Physics For Scientists and Engineers, (Toronto: Saunders College Publishing, 1996) p. 325.
Bibliography
Blott, J. Frank, Principles of Physics: Second Edition Publisher not given: 1986
David G. Martindale., Fundamentals of Physics, Canada: D.C. Heath Canada Ltd. 1986
Olenick, P. Richard, The Mechanical Universe: Introduction to Mechanics and Heat, Cambridge: Cambridge University Press 1985
Serway A. Raymond, Physics For Scientists and Engineers, Toronto: Saunders College Publishing, 1996
The cup will stay on the plate throughout the entire rotation because it will be moving in a circular motion. We can see that moving in a circular motion will cause it to stay on the plate because of the equation v= ωr. This equation relates the angular velocity (ω) and the linear velocity (v). When the cup is placed at the very center of the plate the radius (r) will equal zero. When zero is put into the equation for r, the right side of the equation will equal zero, leaving us with the equation v=0. Because v is the linear velocity, we can see that the cup will not move in a straight line, rather a circular
Louis XIV and Peter the great were absolute monarchs who created strong armies, and built strong central governments to obtain absolute power. Both absolute monarchs controlled the nobles and did several things to expand their land. Both rulers wanted to limit the power of the nobility and increase the power of monarchs in order to gain absolute power. Louis XIV and Peter had many goals in common and they also had some goals that were different. Even though they had similar goals, they both used different strategies and ways to achieve their goals.
Vrock= Vcenter of mass + Wrock Where V is the translational velocity, and W is the angular velocity
That action is known as force. A force is something that acts on an object while it is either in motion or at rest, and tends to overcome the inertia inherent of either state. (https://www.britannica.com/science/force-physics), Sir Isaac Newton’s first and second laws of motion explain how the force acts on an object and how it affects its
Armature - Sometimes called a rotor. This is the part that spins. The armature can be either a permanent magnet or an electromagnet.
Young, white, upper-class males who engage in crime are significantly less likely to serve jail time or even be arrested, than their black male counterpart. That being said, lower class white males are more likely to be arrested than their upper-class white counterpart. Is money truly the root of all evil? NO, it’s not. It is however what drives both sides of the criminal justice system. Of course, those with a higher SES or less likely to be arrested in general but there is more to it. In class, we discussed the issues of privatized jail and the revenue they make only when filled to capacity. The “If you build it, they will come!” mentality is fully functioning in the prison part of the criminal justice system. Many police forces are set up with numbers in mind, and in order to be successful a certain amount of arrest must be made. The War on Drugs spurred this ideology as the higher amount of arrest led citizens to think that crime was being lowered. Additionally, those with high-class status can afford to be represented properly in the criminal justice system and do not have to fear the extra fines placed on prisoners or even those just convicted of crimes. VICE – Fixing The System showcased stories of returning citizens who faced the stigmas of jail, the fines of the court, and were lead back into a life of crime just to make ends meet. This vicious cycle leads back into the criminal justice system with these returning citizens being rearrested or by violation of parole/payment, due to financial
Through studying the entire retail toy industry, we have been able to understand the complexity of the industry in which Toys "R" Us operates. Upon completion of the analysis, we realized that the industry is growing stably, in both size and dollar vallue, and has reached a mature market stage. In order to lead to future success, companies in this industry have no choice but to compete on new technology, innovation, cost, and global expansion.
The rappers within my core group are all from these inner cities, who know first hand about what the members of these communities are dealing with. Similarly, the very same way Rap music was used as a tool to aid young African Americans in their times of social oppression in the 1970s, is the same way it is now being used to assist the African American youths today, during their difficult times of adversity. JayZ, J. Cole, and Kendrick all possess the aura and integrity to create what is considered “conscious” hip hop that provides messages of struggle and liberation. In general, the difference better conscious and commercial rap music is simple; Conscious rap or hiphop is a lifestyle inspired by culture, togetherness, and social change. Whereas, commercial rap is perceived as music produced for the sole purpose of financial profit that primarily consists of the demeaning of women and popular references to buying expensive cars and
At first glance, Oedipus and Creon are two very different people. But as time progresses their personalities and even their fates grow more and more similar. In Sophocles’s play “Oedipus the King”, Oedipus and Creon are two completely opposite people. Oedipus is brash and thoughtless, whilst Creon is wise and prudent. In “Oedipus the King”, Oedipus effectively portrays the idea of the classic “flawed hero”. He becomes arrogant and brash. He accuses Creon and Tiresias of treachery. Even worse however, Oedipus goes against the gods. This causes them to punish him severely. Creon is the exact antithesis of Oedipus. He thinks before he acts. Creon is wise and loyal. In Sophocles’ other play, “Antigone”, however, he undergoes a drastic personality change. He becomes more and more like Oedipus. Creon commits acts of hubris, kills and humiliates people for no reason whatsoever. Once he realizes the folly of his ways, he punishes himself for going against the gods and destroying all that he loved, This is strikingly similar to the story of Oedipus. At first Oedipus and Creon seem like entirely different people. But through the course of events, they share almost identical personalities and even fates.
The acceleration of a body or object is directly proportional to the net force acting on the body or object and is inversely
In Antigone, we have Antigone who is a very determined yet disobedient girl. She goes against the King Creon’s rules to bury her brother and when confronted and punished decides to kill herself. Her death led to main tragedy as her husband and mother in law both commit suicide hence leaving the King in distress and pain. Even though the story line in Antigone is very different from that of Oedipus the King, the two plays do mirror each other in a vast number of aspects. The kings, Creon and Oedipus’ desire to do right despite being warned ultimately led both of them to their doom. Their arrogance towards Teiresas, the fear of being over throned and losing their wives are mirror images of each other.
Sleeping with your mother, killing your father, watching your only son commit suicide, and gouging your own eyes out are only a few results of Oedipus and Creon’s flaws. In the books Oedipus The King and Antigone, written by Sophocles, the characters Creon and Oedipus meet horrific fates. During Oedipus The King, Oedipus becomes the king of Thebes but is ignorant to the fact that he is the son of Laius and Jocasta. In Antigone, Creon refuses to bury the former king Polyneices because he attacked Thebes. During these books Oedipus and Creon’s flaws result in the destruction of their lives.
"The Evolution of Rap Music in the United States", it originated in the Brox in the early 70s and is associated with music, dance, fashion, and art. Hip-Hop illustrates the violence and poverty people were living in during its formation. It important as an outlet for people who still live in the ghetto so they can relate to it in a different way. DJ Kool Herc is widely considered the father of Hip-Hop. He would take samples of previously recorded tracks and record them with his own music as he shouted lyrics over them (Rhodes). Rhodes cites DJ Kool Herc as the first DJ to use a turn table. He would buy two records of the same time and emphasize the breaks in the song by scratching both tracks at once. Herc used finished songs to make his beats and manipulated them on his turn table. This technique is called sampling. Sampling continues to be a staple of a rap music.
...in both King Oedipus and Antigone there were characters whose lives ended in tragedy. However these falls from grace were no the deeds of fate, but rather that of the character themselves. The characteristics, especially pride, of the people set them on the path. Therefore the faults of the characters were the cause of their ill-fated end.
Sir Isaac Newton is the man well known for his discoveries around the term, Motion. He came up with three basic ideas, called Newton’s three laws of motion.