Physics Equations and Formulas By Steven Holzner Part of the Physics I For Dummies Cheat Sheet Physics is filled with equations and formulas that deal with angular motion‚ Carnot engines‚ fluids‚ forces‚ moments of inertia‚ linear motion‚ simple harmonic motion‚ thermodynamics‚ and work and energy. Here’s a list of some important physics formulas and equations to keep on hand — arranged by topic — so you don’t have to go searching to find them. Angular motion Equations of angular motion are
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Band broadening theory (Van Deemter equation) It is well recognized now that column band broadening originates from three main sources: 1. multiple path of an analyte through the column packing; 2. molecular diffusion; 3. effect of mass transfer between phases. In 1956 J.J. Van Deemter introduced the equation which combined all three sources and represented them as the dependence of the theoretical plate height (HETP) on the mobile phase linear velocity. Originally‚ it was introduced for gas
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sales in the US for the month of March 2012. The prediction is to take into account the historic data (provided) and current marketing environment. At first‚ two approaches of the analytical (quantitative) method were used – moving average and exponential smoothing. The objective of doing so was to get an idea of the prediction based on historic data only. Once that was done‚ the marketing environment was taken into consideration - to see how it would effect the predictions made by the models. In
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------------------------------------------------- Equations and Problem-Solving * An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance travelled before take-off. ------------------------------------------------- Solutions Given: a = +3.2 m/s2 | t = 32.8 s | vi = 0 m/s | | Find:d = ?? | d = VI*t + 0.5*a*t2 d = (0 m/s)*(32.8 s) + 0.5*(3.20 m/s2)*(32.8 s)2 d = 1720 m ------------------------------------------------- Equations and Problem-Solving
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Exponential Distribution • Definition: Exponential distribution with parameter λ: λe−λx x ≥ 0 f (x) = 0 x s). = = = = = P (X > s + t|X > t) P (X > s + t‚ X > t) P (X > t) P (X > s + t) P (X > t) e−λ(s+t) e−λt e−λs P (X > s) – Example: Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes‚ λ = 1/10. What is the probability that a customer will spend more than 15 minutes in the bank? What is the probability that a customer
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methods‚ theorems‚ and models for solving equations that can be defined by and/or solved using numerical methods‚ graphical methods‚ or analytical methods. These three methods can solve small equations such as y=mx+b to x=-b±b2-4ac2a. Analytical methods use mathematical theorems to fully predict the implications of a theory. Analytical usually involves the user writing down formulas and follow step by step procedures find an answer. They can be used when equations are not complex and an exact answer is
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Model A The very first differential equation that one typically encounters is the equation that models the change of a population as being proportional to the number of individuals in the population. In symbols‚ if P(t) represents the number of individuals in a population at time ‚ then the so called called exponential growth model is: Recall that the general solution of this differential equation is . Recall also that in order to
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Mirror and Magnification Equations The mirror equation expresses the quantitative relationship between the object distance (do)‚ the image distance (di)‚ and the focal length (f). The equation is stated as follows: [pic] The magnification equation relates the ratio of the image distance and object distance to the ratio of the image height (hi) and object height (ho). The magnification equation is stated as follows: [pic] These two equations can be combined to yield information about the
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Greaves Brewery Case Analysis Greaves Brewery: Bottle Replenishment Case Analysis Case Synopsis The following is an analysis of the case‚ Greaves Brewery: Bottle Replenishment. It details the growing beer operation of Greaves Brewery located in the Caribbean island of Trinidad. The purchasing manager for the company‚ Alex Benson‚ is uncertain about how many bottles to order from the company’s German glass supplier. His decision is complicated by the possibility of a new bottle design being
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Ascertaining Mathematics With Equations Jesse J. Oliver Jr. Mathematics 126: Survey of Mathematical Methods Professor Matthew Fife Thursday‚ January 24‚ 2013 Ascertaining Mathematics With Equations The abstract science of a number‚ quantity and space that can be studied in its very own right or as it may be applied to other disciplines and subject matters in several aspects‚ one considers to be that of mathematics. The problem of testing a given number for “primality” has been known to
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