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Doppler effect paper
Doppler effect paper
Doppler effect in relativity
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Christian Doppler: A Biography
Have you ever wondered why a car is much louder coming towards you, than it is going away from you? Or, have you been baffled at how loud an ambulance siren is before it passes you, only for it to be much quieter going away from you? This trend has been dubbed the “Doppler Effect” and was named after proclaimed physicist Christian Doppler. Through years of schooling and many more years of teaching, Doppler was able to amass plenty of credibility in the field of science, and make countless achievements in the realm of physics.
Christian Doppler was born November 29, 1803 to a stonemason and his wife in the town of Salzburg, Austria. His father, one in a long line of master stonemasons, operated a successful business in town that utilized the local marble quarries. Christian was forced, however, to forgo his family’s business because of his frail health, and he sought other opportunities in the work force. After high school, he attended the Vienna Polytechnic Institute in 1822 on a recommendation by his secondary school professor. There, he began his studies in mathematics and excelled in that field so much so that he graduating from the Institute three years later in 1825. From there, Doppler attended the University of Vienna to study higher mathematics, astronomy, and mechanics. Once he completed his studies in 1829, Christian began working for Professor Adam von Burg who taught mechanics and mathematics at the university. After being Burg’s assistant for only two years, Doppler published his first of eventually fifty-one scientific publications, titled A contribution to the theory of parallels. Doppler would go on to write three more publications before leaving the university to pursue a more perm...
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...he further he went in his educational career.
Before Doppler had proposed his theory that the frequency of sound and light waves changes based on the velocities of the objects being measured, no previous work had been done regarding this phenomenon. Three years after Doppler’s proposal, Buys Ballot, a famous chemist and meteorologist, did an experiment that would soon become famous throughout the world. In order to test Doppler’s hypothesis, Ballot had a group of musicians playing a specified note on a train, and also had musicians on the ground as the train passed to verify what note was being played. When the frequency of the note changed from when the train was approaching and after it had passed, Buys Ballot knew that Doppler’s proposal was indeed correct with respect to the sound waves.
Coincidentally, a French physicist named Hippolyte Fizeau was working on
Albert Einstein had once said, “Try not to become a man of success, but rather try to become a man of value." Born in the city of Clinton Township, Michigan at St. Joseph Hospital on July 18th, 1993, Miles Drobot began his journey through life. Miles was born to the proud parents of Melissa and Tobias Drobot and grew up in Mt. Clemens, Michigan. As a single child, he exclusively attended L’Anse Creuse Public School District up until his senior year of high school. Once he had graduated in 2015, he would soon after pursue his college education.
It was proposed that if the length of the PVC pipes were to increase, then the sound produced will have a lower amplitude each time because the sound will lose energy as it continues in the pipe for a certain amount of time. However, the data actually showed that with every increase in pipe length, the amplitude got louder as well, thus refuting the hypothesis. These results made sense because what was created inside the PVC pipes was a standing still sound wave, or a resonance wave. These kinds of waves have certain locations on its wavelength in order for the change in sound to be heard, which it usually half a wavelength. With this, the tuning fork is 83.3Hz and a usual wavelength is about 300Hz, 300/83.3 = 3.6 meters, which is about 4 meters (half = 2 meters). So for the change in sound to be heard, the pipes had to be about 2 meters in change according to the frequency of the tuning
O'Connor, J. J., and E. F. Robinson. "Hopper Biography." MacTutor History of Mathematics. University of St Andrews, July 1999. Web. 29 Sept. 2011. .
The team of Tycho Brahe and John Keppler were the next to study Copernicus’ theory. Brahe tried to disprove Copernicus’ theory and tried to prove the idea of the earth-centered universe. Although Keppler was Brahe’s assistant, he argued for Copernicus and analyzed Brahe’s data to conclude that the sun was the center of the universe. Keppler also used Brahe’s data to discover the movement of the planet Mars. This was the key to explaining all planetary motion. ii He also discovered the planets move in elliptical orbits, which also went against the beliefs of the church. Kepp...
Around 1886, Heinrich Hertz demonstrated experimentally the existence of radio waves. It is said that Hertz only smiled incredulously when anyone predicted that his waves would one day be sent round the earth. Hertz died in 18...
Ultrasound began with an interest in one of the basic senses of the human body. It was many years ago, in ancient times, that scientists started exploring the aspect of sound which eventually led to the invention of the sonometer, by the well-known mathematician named Pythagoras. (Essentials of Sonography) In 1793, however, a new discovery brought about a whole new perspective to sound waves. Dr. Lazarro Spallanzi fell upon an idea that the common bat was able to get around without vision. His experiments proved that the bat was able to regard his surroundings by his unique listening abilities unknown by man. This was only the beginning to a mature science that continues with strong progression to this day. (Brief History of Ultrasound)
A young astronomer by the name of Francis Drake agreed with the theories of Cocconi and Morrison. He proposed building a radio receiver in order to listen for waves of sound being transmitted through space. It wasn't until the spring of 1960 that Dra...
The Scholar: I think that's more a function of sound wave vibration than anything else.
...ere given the opportunity to be introduced to his inspiring work. Even though Euler was a mathematician, he also gave several memoirs into the astronomy field. His achievements would dominate from 60 to 80 quarto volumes. No other mathematician can compare Leonhard Euler to the amount of donations made in these fields. Euler would not stop until he found the solution. Despite his hard times such as, his wife passing away, his visual impairment, and his constant moving he continued to prove problems and open our minds to new solutions. Euler was an excellent mathematician and always found a way to change the world. His endless respect and constant praise from others built him up to the legacy he is today. His countless contributions will continue on into the future and his name will live on. Was a genius born or did he work his have the amount of knowledge he had?
Detection of weak stimulus e.g. Faint sounds can't be explained on the basis of laws of thresholds.This thing lead the signal detection theory to develop.
If the crests of the two waves rise at the same time and place, the waves are said to be in phase and reinforce each other to produce a louder sound. This is called constructive interference. This occurs when the two sources of the sound are separated by exactly one full wavelength. (One wave gets a one wavelength head start, but both are in phase at the detector. Therefore the knowledge of this device is that the wavelength and the frequency of the sound, therefore it could be easy to determine its velocity according to the relationship v = f.
Kessler, Bruce. A "Sound" Approach to Fourier Transforms: Using Music to Teach Trigonometry. Kentucky: n.p., 2007. Print.
This caused financial hardships on Mendel’s family. It was also difficult to say goodbye but they did it for the sake of his future. However, he excelled at his studies and eventually graduated with honors in 1840. Following graduation, he went to the University of Olomouc. Here he studied philosophy and physics. Once again, Mendel proved he was very bright and academically capable of many things. However, during this time Mendel was suffering with depression which took a toll on his emotional state. It affected the way he was learning so he abandoned his studies. This was only for a short period of time. Mendel graduated from the University in 1843. Against his father’s will, Mendel began studying to be a priest. He joined the Augustinian Abbey of St. Thomas in Brno as a monk. He thought taking the name ‘Gregor’ was appropriate since he was entering the religious field. In 1849, he was tired of his work in Brno. He was then sent to fulfill a temporary teaching position. Unfortunately, he failed a required teaching certification exam. Thankfully for the monastery’s expense, he was sent to the University of Vienna so he could continue his studies in the sciences. There he studied mathematics and physics under the famous Christian Doppler. The Doppler effect of wave frequency is named after Christian Doppler. He
Carl Friedrich Gauss was born April 30, 1777 in Brunswick, Germany to a stern father and a loving mother. At a young age, his mother sensed how intelligent her son was and insisted on sending him to school to develop even though his dad displayed much resistance to the idea. The first test of Gauss’ brilliance was at age ten in his arithmetic class when the teacher asked the students to find the sum of all whole numbers 1 to 100. In his mind, Gauss was able to connect that 1+100=101, 2+99=101, and so on, deducing that all 50 pairs of numbers would equal 101. By this logic all Gauss had to do was multiply 50 by 101 and get his answer of 5,050. Gauss was bound to the mathematics field when at the age of 14, Gauss met the Duke of Brunswick. The duke was so astounded by Gauss’ photographic memory that he financially supported him through his studies at Caroline College and other universities afterwards. A major feat that Gauss had while he was enrolled college helped him decide that he wanted to focus on studying mathematics as opposed to languages. Besides his life of math, Gauss also had six children, three with Johanna Osthoff and three with his first deceased wife’s best fri...
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.