Fluids are cool, and super useful. If you've ever filled up a water balloon to throw at your friends, or blown up an air mattress, you'll probably have some intuitive understanding of how fluids work. If an air mattress is half blown-up, and you lay on it, or screw up part of it, pushing all the air into one corner, you'll feel the air pushing hard on the walls of the mattress. By squeezing on one side of the mattress, you can apply a force to the opposite side. Your force can transmit all the way through the mattress. This is how fluids work, and this vitally important property is explained in Pascal's principle.
Pascal's Principle or Pascal's Law applies to static fluids and takes advantage of the height dependency of pressure in static fluids. A French scientist called Blaise Pascal, who established this important relationship, Pascal's Principle can be used to exploit pressure of a static liquid as a measure of energy per unit volume to perform work in applications such as
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So Pascal's principle says that the pressure, F divided by A, is the same when it's transmitted across a fluid. So F1 divided by A1 is equal to F2 divided by A2F1/A1= F2/A2 . What this means is that if you push with a small force across a small area that can lead to a large force being applied over a large area. This is amazingly useful; one of the application of Pascal’s principle that applied in maritime technology today is hydraulic system nowadays.
Hydraulics is defined as the branch of science and technology concerned with the conveyance of liquids through pipes and channels, especially as a source of mechanical force or control. And this is by far the most common application of Pascal's principle. There are many, many uses of the principle, but nearly all of them boil down to hydraulics. Robotic arms are most commonly used in maritime technology to lift heavy
They just forgot to mention the other effects of fluids in nature. “The influence of the fluid on a body moving through it depends not only on the body’s velocity but also on the velocity of the fluid,” this is called relative velocity ( ). The relative velocity of a body in a fluid has an effect on the magnitude of the acting forces. For example, as a long distance runner is running into a head wind, the force of the fluid is very strong. If the runner is running with the help of a tail wind, the current’s force is reduced and may even be unnoticeable.
Blaise Pascal was born on 19 June 1623 in Clermont Ferrand. He was a French mathematician, physicists, inventor, writer, and Christian philosopher. He was a child prodigy that was educated by his father. After a horrific accident, Pascal’s father was homebound. He and his sister were taken care of by a group called Jansenists and later converted to Jansenism. Later in 1650, the great philosopher decided to abandon his favorite pursuits of study religion. In one of his Pensees he referred to the abandonment as “contemplate the greatness and the misery of man”.
In 1687, Newton published Philosophiae Naturalis Principia Mathematica (also known as Principia). The Principia was the “climax of Newton's professional life” (“Sir Isaac Newton”, 370). This book contains not only information on gravity, but Newton’s Three Laws of Motion. The First Law states that an object in constant motion will remain in motion unless an outside force is applied. The Second Law states that an object accelerates when a force is applied to a mass and greater force is needed to accelerate an object with a larger mass. The Third Law states that for every action there is an opposite and equal reaction. These laws were fundamental in explaining the elliptical orbits of planets, moons, and comets. They were also used to calculate
John Dalton was born on September 6 1766 at Eagelsfield, Cumbria in England.Although he was born in England, he spent most of his life in Manchester.He was born into a Quaker family and while his family had food, they were still poor. His father Joseph was a weaver and John recieved most of his early education from his father. At the age of 12, John opened a school in Eagelsfield where he was the master. He was often threatened by the older boys who wanted to fight him because he was smarter, but he managed to keep in control for 2 years.Due to a poor salary, John was forced to leave his school and work in the fields with his brother. In 1781 John and his brother moved to Kendall. There John, his cousin George, and his brother ran a school where they offered English,Latin,Greek,French and twenty one mathematics and science course. Their school had sixty pupils. After twelve years at Kendall John started doing lectures and answering questions for mens magazines. John found a mentor in John Gough,who was the blind son of a wealthy tradesman. John Gough taught Dalton languages,mathematics,and optics. In 1973 John moved to Manchester as a tutor at New College. He immediately joined the Manchester Literary and Philosophical Society and in the same year he published his first book: Meteorological Observations and Essays. In his book Dalton stated that gas exits and acts independantly and purely physically not chemically. After six years of tutoring, John resigned to conduct private research while still doing tutoring at 2 shillings a lesson. In 1802 John stated his law of partial pressures. When two elastic fluids are mixed together ( A and B) they dont repel each other. A particles do not repel B particles but a B particle will repel another B particle. One of his experiments involved the addition of water vapor to dry air. The increase in pressure was the same as the pressure of the added water. By doing this experiment, John established a relationship between vapor pressure and temperature. John’s interest in gases arose from his studies of meteorology. He had weather equipment that was with him at all times and he was constantly studying weather and atmosphere. He also kept a journal throughout his life in which he wrote over 200,000 observations. In 1803, John made his biggest contribution to science: The Atomic Theory.
Bernoulli’s principle is the concept that as the speed of a moving fluid (liquid or gas) increases, the pressure within that fluid decreases. This principle was originally formulated in 1738 by the Swiss mathematician and physicist Daniel Bernoulli, it states that the total energy in a steadily flowing ...
Blaise Pascal was born on June 19, 1623. Pascal was a mathematician along with a Christian philosopher who wrote the Pensees which included his work called Pascal’s wager. The crucial outline of this wagers was that it cannot be proved or disprove that God does exists. There are four main parts to the wager that include his reasoning to that statement. It has been acknowledged that Pascal makes it clear that he is referring to the Christian God in his wager. This is the Christian God that promises his people will be rewarded with eternal life along with infinite bliss.
Blaise Pascal lived during a time when religion and science were clashing and challenging previous discoveries and ideas. Pascal lived from 1623 to 1662 due to his untimely death at the age of thirty nine. The scientific community grew enormously and Pascal was a great contributor to this growth. The growth in the scientific community is known as the Scientific Revolution. He lived in a time where an absolute monarch came into power, King Louis the XIV. Louis XIV was a believer in “one king, one law, and one faith” (Spielvogel, 2012). Pascal saw the destruction of protestant practices in France and the growth and acceptance of scientific discoveries. He used the scientific method to refine previous experiments that were thought to be logical but Pascal proved otherwise and eventually led to Pascal’s Law. He spent his life devoted to two loves: God and science. Within his book, “Pensees,” Pascal argues and shares his thoughts about God, science, and philosophy.
Flight is one of the most important achievements of mankind. We owe this achievement to the invention of the airfoil and understanding the physics that allow it to lift enormous weights into the sky.
Yang Hui has been found to be the oldest user of Pascal’s Triangle. But it is Blaise Pascal who around the year 1654 was credited for his extensive work on the many patterns of this triangle. Because of this people began to call it Pascal’s Triangle.
It is based on physics, and the 2nd law of thermodynamics. A liquid is vaporized through compression, which requires kinetic energy. This draws the energy needed from the direct area; causing a loss in energy and then it
However, n-k and k can also be represented as a and b to better show the exponents of the two terms of the original binomial in each term of the expansion. The binomial theorem can then be restated:
On a more scientific note I am interested in mechanics of fluids. This interest was enforced last year when I had the opportunity to attend a lecture on fluid mechanics at P&G. At the conference I greatly expanded my knowledge regarding the physical aspect of fluids and their properties. In last year's AS course we have met a topic in this field. I will be applying ideas and knowledge gathered from last year for this investigation.
... Pascal was such a brilliant man because he could do both of these. Pascal was one of the only men that wrote about his beliefs in God and was an accredited scientist and mathematician too. He was a true man of the scientific revolution.
In 1665, the Binomial Theorem was born by the highly appraised Isaac Newton, who at the time was just a graduate from Cambridge University. He came up with the proof and extensions of the Binomial Theorem, which he included it into what he called “method of fluxions”. However, Newton was not the first one to formulate the expression (a + b)n, in Euclid II, 4, the first traces of the Binomial Theorem is found. “If a straight line be cut at random, the square on the whole is equal to the squares on the segments and twice the rectangle of the segments” (Euclid II, 4), thus in algebraic terms if taken into account that the segments are a and b:
Liquids have no definite shape. Liquids are less orderly than solids but more orderly than gases. Liquids can flow very easily. Liquids also take the shape of their container.