AS3/ Expt-g/ Archer

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International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.

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324 Chapter 5 Relationships Within Triangles Objective To use inequalities involving angles and sides of triangles In the Solve It, you explored triangles formed by various lengths of board. You may have noticed that changing the angle formed by two sides of the sandbox changes the length of the third side. Essential Understanding Th e angles and sides of a triangle have special relationships that involve inequalities. Property Comparison Property of Inequality If a 5 b 1 c and c . 0, then a . b. For a neighborhood improvement project, you volunteer to help build a new sandbox at the town playground. You have two boards that will make up two sides of the triangular sandbox. One is 5 ft long and the other is 8 ft long. Boards come in the lengths shown. Which boards can you use for the third side of the sandbox? Explain. Inequalities in One Triangle 5-6 t t tt o lele f Think about whether the shape of the triangle would be easy to play in. Dynamic Activity Triangle Inequalities T A C T I V I T I E S T AAAAAAAA C A CC I E SSSSSSSS DY NAMIC Proof of the Comparison Property of Inequality Given: a 5 b 1 c, c . 0 Prove: a . b Statements Reasons 1) c . 0 1) Given 2) b 1 c . b 1 0 2) Addition Property of Inequality 3) b 1 c . b 3) Identity Property of Addition 4) a 5 b 1 c 4) Given 5) a . b 5) Substitution Proof hsm11gmse_NA_0506.indd 324 3/6/09 11:56:15 AM http://media.pearsoncmg.com/aw/aw_mml_shared_1/copyright.html Problem 1 Got It? Lesson 5-6 Inequalities in One Triangle 325 Th e Comparison Property of Inequality allows you to prove the following corollary to the Triangle Exterior Angle Th eorem (Th eorem 3-11). Proof of the Corollary Given: /1 is an exterior angle of the triangle. Prove: m/1 . m/2 and m/1 . m/3. Proof: By the Triangle Exterior Angle Th eorem, m/1 5 m/2 1 m/3. Since m/2 . 0 and m/3 . 0, you can apply the Comparison Property of Inequality and conclude that m/1 . m/2 and m/1 . m/3. Applying the Corollary Use the fi gure at the right. Why is ml2 S ml3? In nACD, CB > CD, so by the Isosceles Triangle Th eorem, m/1 5 m/2. /1 is an exterior angle of nABD, so by the Corollary to the Triangle Exterior Angle Th eorem, m/1 . m/3. Th en m/2 . m/3 by substitution. 1. Why is m/5 . m/C? You can use the corollary to Th eorem 3-11 to prove the following theorem. Corollary Corollary to the Triangle Exterior Angle Theorem Corollary Th e measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles. If . . . /1 is an exterior angle Then . . . m/1 . m/2 and m/1 . m/3 2 1 3 Proof 3 4 1 25 A CD B Theorem 5-10 Theorem If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. If . . . XZ . XY Then . . . m/Y . m/Z You will prove Theorem 5-10 in Exercise 40. X Y Z G U I m C Th G How do you identify an exterior angle? An exterior angle must be form.

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A method for determining a physical law using the simple pendulum as a model By name Lab Partner: name 7 September 2000 Abstract A process for determining a physical law was executed using the simple pendulum as a model. The three variables thought most likely to be major influences on pendulum period were selected. Each variable was tested while holding the others constant. Displacement affected period, but for displacements less than 10 degrees string length had the most significant effect on period. The law relating period to string length was determined. The experimental law did not agree with the accepted law within experimental uncertainty. ! 1 INTRODUCTION AND THEORY The simple pendulum system was selected to test a method for determining physical laws. The method was applied to determine which variables influence the period of the pendulum. The goal was to derive the law that relates the period of the pendulum to the most significant variables. A diagram of the simple pendulum is shown in Figure 1. {Note that I have called out the figure in the text before the figure appears.} ! Figure 1. Diagram of the simple pendulum. θ is the displacement angle, L is the length of the pendulum, g is the acceleration due to gravity, m is the mass of the pendulum bob, and T is the tension in the string. {Note: This is Figure 1, not Figure 1.1. Number your figures and tables sequentially as they appear in the text. This is a ! 2 stand-alone report, not a report in a sequence of reports in lab.} Operational definition of period: Time for pendulum to go from any point in its motion back to that same point, and traveling in the same direction. Table 1. is a list of equipment used in the experiment. {Table mentioned in text before it appears.} {I have taken care to see that the table is all on one page and does not flow to a second page.} Table 1. Equipment Used. Experimental support rod clamped to lab bench Experimental support arm fastened to support rod String Clamped on the experimental support arm ~ 1.1 m long There was a loop at one end Pendulum bobs Six different materials: cork, wood, steel, lead, aluminum, and brass All bobs had hooks to which the loop in the string was attached All bobs were the same size as observed by eye Meter stick Protractor PASCO Photogate operating in pendulum mode PASCO Model 500 Interface ! 3 Pentium computer running Windows NT Science Workshop Software Microsoft Excel {table 1 is where you describe the equipment was used. This is not the place to tell how it was used. That goes in the experimental procedure in the text.} DESCRIPTION OF THE EXPERIMENT DATA AND ANALYSIS Note to students. The nature of this experiment does not lend itself to following the FORMAT I specified in my e-mail guidance and on my web site. For the formal reports, use the guidance on the web.

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untitled folder 4/.DS_Store __MACOSX/untitled folder 4/._.DS_Store untitled folder 4/aaa.docx Molecular Weight of an Ideal Gas by the Dumas Method Objectives: 1. In this experiment we will determine the molecular weight of air and CO2 by measuring P, T, V and weight of a gas sample. 2. You will become familiar with how experimental errors in several measurements combine to give the error in an overall calculated result. 3. You will also become familiar with the routine operation of a vacuum rack. 4. You will refine your lab report writing skills. Introduction: In this first experiment, you will determine the molecular weight of a gas by the Dumas method. In the Dumas method, the density of a gas or volatile liquid is determined at a known pressure and temperature. Using the ideal gas law, the molecular mass of the substance can be calculated: where d is density, R is gas constant, T is temperature, P is pressure and M is molar mass of the gas. To determine the density of the gas, both mass and volume will be measured independently. A glass bulb is evacuated and filled with the test gas. The difference in the mass of the filled vs. evacuated bulb will give you the mass of the gas. The volume of the bulb is determined by measuring the amount of water required to fill the bulb. Buoyancy Correction: In this experiment we are measuring the mass of a small volume of gas by subtracting the weights of two heavy objects, an evacuated sample bulb and one filled with a gas. Changes in the temperature/density of air during the course of the experiment can result in a large amount of error in your result. To prevent this, you may need to perform a buoyancy correction to your masses. When you measure the mass of your sample bulb, you will also measure the mass of a ballast bulb. The ballast bulb is a similarly sized vessel that should have a constant mass throughout the course of the experiment. If its mass changes, then we know that the room temperature/pressure has change and we need to make a buoyancy correction. The buoyancy correction is simply, mass of Ballast Bulb (initial) – mass of the ballast bulb (final) To correct our sample mass, we subtract the buoyancy correction from our sample mass. For example, if the mass of the ballast bulb has increased by 0.2 g, we will subtract 0.2 g from the final mass of our sample bulb. Safety Concerns: 1. Safety goggles should be worn at all times. 2. The vacuum line is equipped with a mercury manometer. When filling the bulbs with CO2, caution must be taken not to have pressure above 1 atm. 3. When handling the sample bulb, carefully carry so that you don’t drop or break it. 4. The experiment requires the use of gases contained in cylinders equipped with a regulating valve. The cylinder must be securely strapped at all times. Consult your instructor on proper use of a gas regulator. Procedures: Throughout this experiment you should record the uncertainty (or notes so that you can determine ...

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Abstract: The present study involves the CFD analysis for the prediction of swirl effect on the characteristics of a steady, incompressible flow through an S-shaped diffusing duct BY KEEPING SWIRL ANGLE OF 10˚. The curved diffuser considered in the present case has S-shaped diffusing duct having an area ratio of 1.9, length of 300 mm and turning angle of 22.5°/22.5°. The static pressure, total pressure, velocity and turbulence intensity were accounted. The improvement is observed for both, clockwise and anti-clockwise swirl, the improvement being higher for clockwise swirl. Flow uniformity at the exit is more uniform for clockwise swirl at the inlet. Keywords: Curved diffusers, intake ducts, swirling flow, secondary flows, pressure recovery

CFD Simulation of Swirling Effect in S-Shaped Diffusing Duct by Swirl Angle o...

IOSR Journals

Sheet1Moisture content analysis final resultsGroupValue of m3 (g)A21.459B25 kPa34.35950 kPa18.771C19.282D17.816E23.651F26.148GTBCH28.664 LEEDS BECKETT UNIVERSITY CIVIL ENGINEERING GEOTECHNICAL ENGINEERING: APPLICATION & THEORY (BEng) Laboratory Experiment: Undrained triaxial compression test (without pore water pressure measurement) BS 1377: Part 7: 1990. Object of Experiment: To determine the undrained shear strength of a soil using the triaxial compression test. Theory/Apparatus: The apparatus consists of a cell, which is filled with water under pressure; the specimen is loaded vertically, via a proving ring to measure load. Triaxial Cell The vertical load on the specimen is increased until failure occurs, the vertical strain being recorded at the same time using a dial gauge. The test is repeated on different specimens from the same soil, using different values of cell pressure. 254 Stresses on specimen in Triaxial Cell Cell Pressure Deviator Stress =P/A 1=3+P/A 1 = major principal stress 3 = minor principal stress Therefore, P/A = (1-3) =Deviator stress The deviator stress is the load on the specimen, P, divided by the cross sectional area of the specimen. However, as the sample is compressed during the test, the cross sectional area will increase. Therefore, in calculating the deviator stress an allowance for the change in area must be considered. For the calculation of deviator stress, it is assumed that the volume of the specimen remains constant and that the sample will deform as a cylinder, e.g.   100% o X Strain L     1 3 P Deviator stress A          where P = vertical load, which is measured by a proving ring (kN) A = Area calculated using the following method;  ( ) )o o o oVolume V A L AL A L X    255    1 o o o V A or A or A L X      Method: 1. Extrude the sample from the tube and trim to size - soil sample of 38mm diameter and 76mm long. 2. Sleeve the sample with the rubber membrane. 3. Put the sample on the pedestal at the bottom of the cell and seal with the rubber ring. Place the loading cap on top of the sample and seal with rubber ring, before securing top drainage tube. 4. Mount the cell over the sample and fill as per the Flooding Triaxial Cell checklist. 5. Set-up the test with the Clisp Studio assistant, and complete the Pressurising Triaxial Cell checklist before running the test stages. 6. When test stages are complete, end the test via Clip Studio and complete the Draining Triaxial Cell checklist. Results and Calculations: • Sketch the failure mode of each sample. • Calculate the moisture content of the soil as per Appendix A. • Calculate the results as follows: (i) For each sample tested: • Find the failure strain (either the final value or.

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It is well known that surface tension of a liquid has a decisive role in flow dynamics and the eventual equilibrium state, especially in confined flows under low gravity conditions and also in free surface flows. One such instance of a combination of these two cases where surface tension plays an important role is in the microgravity environment of a spacecraft propellant tank. In this specific case both propellant acquisition and residual propellant estimation are critical to the mission objectives particularly in the end-of-life phase. While there have been a few studies pertaining to the equilibrium state in given geometric configurations, the transient flow leading to final state from an initial arbitrary distribution of propellant is rarely described. The present study is aimed at analysing the dynamic behaviour of the liquids under reduced gravity through numerical simulation and also addresses the specific case of propellant flow transient in a cone-in-a-sphere type of tank configuration proposed by Lal and Raghunandan which is likely to result in both improved acquisition and life time estimation of spacecraft. While addressing this specific problem, the present work aims to study the transient nature of such surface tension driven flows in a general form as applicable to other similar problems also. Volume of Fluid (VOF) method for multiphase model in ANSYS FLUENT was adapted with suitable changes for generating numerical solutions to this problem.

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AS3/ Expt-g/ Archer

1. HOW TO DETERMINE “g” AS3 ARCHER

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