Refraction Refraction is what happens to light when it passes from one medium to another. For example, things appear differently from the bottom of a swimming pool than on the top. Simplistically, refraction is the bending of light. The explanation for this phenomenon, however, can be described with light as rays and light as waves. No matter the case, it is important to remember that the speed of light is constant in every homogeneous medium, regardless of shape, size or form. The index of
While mirrors usually reflect what is seen directly back, the mirrors in solar concentrators reflect sunlight directly to solar cells that convert light into electricity. Fresnel lenses and solar cells are the building blocks to solar concentrators. The mirrors in questions are scientifically known as Fresnel lenses. Fresnel lenses are essentially lenses are concentric, shaped like a target, that are arranged using many simples lenses in order to achieve focal length that is diminutive. The idea
Bernoulli’s Equation. The Bernoulli equation states that, [IMAGE] but only when · point 1 and 2 lie on a streamline, · the fluid has a constant density, · the flow is steady · there is no friction. Although these restrictions sound severe, the Bernoulli equation is very useful, partly because it is very simple to use and partly because it can give great insight into the balance between pressure, velocity and elevation. Bernoulli's equation is the explanation
can calculate the side lengths minus the cut out squares using the following equation. Volume = Length - (2 * Cut Out) * Width - (2 * Cut Out) * Height Using a square, both the length & the width are equal. I am using a length/width of 10cm. I am going to call the cut out "x." Therefore the equation can be changed to: Volume = 10 - (2x) * 10 - (2x) * x If I were using a cut out of length 1cm, the equation for this would be as follows: Volume = 10 - (2 * 1) * 10 - *(2 * 1) * 1
Missing figures/equations My goal in writing this paper is two fold. Goal one is to try and understand how a stationary magnet exerts force by means of a magnetic field (even across a complete vacuum). Frequently, electromagnetic fields are compared to the gravitational field. Goal two is to explore the similarities between the two types of fields to see if comparison throws any light on the mechanism of magnetic field generation. The term action-at-a-distance is often used to describe forces
creative and find ways to keep pushing the student onward as well as upward. In order to devise the ultimate plan for educating students, a teacher must acknowledge that the “students” are what teaching is all about. The most important factor in the equation is unequivocally the STUDENT! All humans are different in some sort or fashion. But the fact still exists that we all have only this place to function in. So help by putting forth an effort to make it a better place for us all. I’m a firm believer
imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature
17th century. The simplest forms of equations in algebra were actually discovered 2,200 years before Mohamed was born. Ahmes wrote the Rhind Papyrus that described the Egyptian mathematic system of division and multiplication. Pythagoras, Euclid, Archimedes, Erasasth, and other great mathematicians followed Ahmes (“Letters”). Although not very important to the development of algebra, Archimedes (212BC – 281BC), a Greek mathematician, worked on calculus equations and used geometric proofs to prove
to find 3 equations, that would give me an answer, if I had certain information. The first was to find one that if you knew that there were four pegs on the boundary, and none on the interior, you could get the area. The second was if you knew that there were 4 pegs on the boundary, and you knew how many were on the interior, you could get the area. And last, if you had the number on the interior, and the number on the boundary, you could get the area. Process The first two equations, were a preparation
involved means that the potential energy is greater therefore the kinetic/moving energy will also be greater. Variables: Force to pull the band back. This will be between 3 and 11 Newton’s. Equations: Distance = Speed Time Speed = Time Distance Time = Distance Speed I also have Equations for EPE in my research. Method: 1) Attach an elastic band to the hook on the end of a Newton metre and stretch the band until the Newton metre reads three Newton’s 2) Then Release the
things in a restaurant could not happen without math such as paying for your meal. Math is used to add up the total cost of a person’s bill as well as adding in the sales tax. More advanced math is used in the restaurant business as well. Using equations to determine what your business can afford to buy as well as the difference in the cost of the product and the profit it turns over is all determined by math. Jobs you might not even think require math do, such as portioning products or prepping
straight line relationship, expressed as Y = α + βX + e. Here, Y is the dependent variable, and X is the independent variable. α is the intercept of the regression line, and β is the slope of the regression line. e is the random disturbance term. The equation Y = α + βX (ignoring the disturbance term “e”) gives the average relationship between the values of Y and X. For example, if Y is the cost of goods sold and X is the sales, and α = 2 and β = 0.75, and if the sales are 100, i.e., X = 100, the cost
society. However, a true follower of utilitarianism would be outraged at Raskolnikov's claim that murdering the old woman can be considered morally right. Raskolnikov arbitrarily leaves out some necessary considerations in his moral "equation" that do not adhere to utilitarianism. A utilitarian would argue that Raskolnikov has not reached an acceptable solution because he has not accurately solved the problem. On the other hand, a non-utilitarian would reject even the notion
“Only the gold and silver flowed now, not from the coffers of the king, but from the purses of men who had made, say a fortune from industry, and returned, in their wills, a bounteous share of it to endow more chairs, more lectureships, more fellowships in the university where they had learnt their craft” (754). This is a quote from Virginia’s Woolf’s essay, “A Room of One’s Own”. Here she is making a point about universities and the funding that they received from men that had gone to school there
The Determination of a Rate Equation Aim --- The purpose of this experiment is to develop a method to determine the rate equation for the reaction between Magnesium ribbon and 2.0mol dm Hydrochloric acid, HCl. Hypothesis and Theory --------------------- When I react the magnesium ribbon with hydrochloric acid they will undergo the reaction according to the equation below: Mg(s) + 2HCl(aq) à MgCl (aq) + H (g) For a reaction to be successful the molecules must collide with
and temperature. Boyle discovered that for a fixed mass of gas at constant temperature, the pressure is inversely proportional to its volume. So in equation form this is: pV = constant if T is constant Amontons discovered that for a fixed mass of gas at constant volume, the pressure is proportional to the Kelvin temperature. So in equation form this is: p µ T if V is constant Shown below this is represented on graphs in (oC) and (K). [IMAGE] P [IMAGE] [IMAGE] q/oC
Mathematical Essay In order to find the roots of an equation that cannot be solved algebraically, I can use numerical methods to do this instead. One of these methods is the change of sign method. From looking at a graph of my equation I can find two integers that my root lies between, then from there, using spreadsheets, I can use the change of sign method to discover where the root lies to five decimal places. I have chosen to try to solve the equation: 5x3-7x+1=0 First, I drew the graph of y=5x3-7x+1
this is when it will either change from colourless to a very pale pink or from pink to colourless. To determine the relative formula mass of succinic acid I am going to do a titration against sodium hydroxide. The equation for the reaction is given below. To make the equation easier to read, HOOC(CH2)nCOOH will be condensed to H2A because of the two hydrogen atoms at either end. H2A+2NaOH à Na2A+2H2O (CV) H2A = 1 (CV) NaOH 2 I am going to use the NaOH as 0.1M because I don’t want
causing Mr. Wormwood’s hair to be turned a platinum blonde. On her first day of school, Matilda’s teacher Miss Honey becomes very interested in her abilities, wondering where the child picked up such an ability to solve complicated mathematical equations and read such great novels for a child her age. Miss Honey is a petite woman. She is timid towards her aunt, Miss Trunchbull, but can handle the first semester kids very well. Miss Trunchbull, a large intimidating woman, is very cold at heart
also be aware of the importance of communication between the leader and the followers; and of the communication amongst the followers themselves. Now however we may start to address the role management, and what role does it play in this enigmatic equation? Which in turn causes the rise of the question, what is the difference between leadership and m... ... middle of paper ... ...athryn M., and David C. Martin. Management. Third Edition. The McGraw Hill Companies Inc., 1998. · Blank, Warren