Design and Make a Water Pump – an Archimedes' Screw
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PUMP STATION MECHANIC I/II DEFINITION to Perform Semi-Skilled and Skilled Work in the Installation Maintenance and Repair Of
PUMP STATION MECHANIC I/II DEFINITION To perform semi-skilled and skilled work in the installation maintenance and repair of pumps, motors, chain drives, valves and related equipment; and to do related work as required. DISTINGUISHING CHARACTERISTICS Pump Mechanic I: This is the entry level class in the Pump Mechanic series. Positions in this class normally perform beginning level mechanical repair and maintenance work on a wide variety of wastewater and storm water lift station and equipment. Under this class, individuals employed at the entry level (Pump Mechanic I) may, based on the acquisition of higher skill levels through training and experience, become eligible for promotion to the Pump Mechanic II position. This promotion would be based on satisfactory demonstration of skills through examination or certification from an accepted organization, training institution, or school and demonstrated ability to perform high level maintenance and repairs on City pump stations. Particular skill areas of interest are installation and maintenance of telemetry systems, computerized pump control systems and pump preventative maintenance programs. Pump Mechanic II: This is the journey level class in the Pump Mechanic series. Positions assigned to this class are flexibly staffed and are expected to perform the most skilled repair and maintenance work and have a thorough knowledge of the operational characteristics, maintenance and repair methods and techniques and most typical system difficulties for the full range of equipment and operational systems in a lift station. All positions assigned to this class require the ability to work independently, exercising judgment and initiative. Pump Station Mechanics II may also be expected to assist in the oversite of less experienced personnel. -
Positional Notation Or Trigonometry [2, 13]
The Greatest Mathematical Discovery? David H. Bailey∗ Jonathan M. Borweiny April 24, 2011 1 Introduction Question: What mathematical discovery more than 1500 years ago: • Is one of the greatest, if not the greatest, single discovery in the field of mathematics? • Involved three subtle ideas that eluded the greatest minds of antiquity, even geniuses such as Archimedes? • Was fiercely resisted in Europe for hundreds of years after its discovery? • Even today, in historical treatments of mathematics, is often dismissed with scant mention, or else is ascribed to the wrong source? Answer: Our modern system of positional decimal notation with zero, to- gether with the basic arithmetic computational schemes, which were discov- ered in India prior to 500 CE. ∗Bailey: Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA. Email: [email protected]. This work was supported by the Director, Office of Computational and Technology Research, Division of Mathematical, Information, and Computational Sciences of the U.S. Department of Energy, under contract number DE-AC02-05CH11231. yCentre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Callaghan, NSW 2308, Australia. Email: [email protected]. 1 2 Why? As the 19th century mathematician Pierre-Simon Laplace explained: It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very sim- plicity and the great ease which it has lent to all computations put our arithmetic in the first rank of useful inventions; and we shall appre- ciate the grandeur of this achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity. -
Archimedes' Principle
General Physics Lab Handbook by D.D.Venable, A.P.Batra, T.Hubsch, D.Walton & M.Kamal Archimedes’ Principle 1. Theory We are aware that some objects oat on some uids, submerged to diering extents: ice cubes oat in water almost completely submerged, while corks oat almost completely on the surface. Even the objects that sink appear to weigh less when they are submerged in the uid than when they are not. These eects are due to the existence of an upward ‘buoyant force’ that will act on the submerged object. This force is caused by the pressure in the uid being increased with depth below the surface, so that the pressure near the bottom of the object is greater than the pressure near the top. The dierence of these pressures results in the eective ‘buoyant force’, which is described by the Archimedes’ principle. According to this principle, the buoyant force FB on an object completely or partially submerged in a uid is equal to the weight of the uid that the (submerged part of the) object displaces: FB = mf g = f Vg . (1) where f is the density of the uid, mf and V are respectively mass and the volume of the displaced uid (which is equal to the volume of the submerged part of the object) and g is the gravitational acceleration constant. 2. Experiment Object: Use Archimedes’ principle to measure the densities of a given solid and a provided liquid. Apparatus: Solid (metal) and liquid (oil) samples, beaker, thread, balance, weights, stand, micrometer, calipers, PASCO Science Workshop Interface, Force Sensors and a Macintosh Computer. -
Great Inventors of the Ancient World Preliminary Syllabus & Course Outline
CLA 46 Dr. Patrick Hunt Spring Quarter 2014 Stanford Continuing Studies http://www.patrickhunt.net Great Inventors Of the Ancient World Preliminary Syllabus & Course Outline A Note from the Instructor: Homo faber is a Latin description of humans as makers. Human technology has been a long process of adapting to circumstances with ingenuity, and while there has been gradual progress, sometimes technology takes a downturn when literacy and numeracy are lost over time or when humans forget how to maintain or make things work due to cataclysmic change. Reconstructing ancient technology is at times a reminder that progress is not always guaranteed, as when Classical civilization crumbled in the West, but the history of technology is a fascinating one. Global revolutions in technology occur in cycles, often when necessity pushes great minds to innovate or adapt existing tools, as happened when humans first started using stone tools and gradually improved them, often incrementally, over tens of thousands of years. In this third course examining the greats of the ancient world, we take a close look at inventions and their inventors (some of whom might be more legendary than actually known), such as vizier Imhotep of early dynastic Egypt, who is said to have built the first pyramid, and King Gudea of Lagash, who is credited with developing the Mesopotamian irrigation canals. Other somewhat better-known figures are Glaucus of Chios, a metallurgist sculptor who possibly invented welding; pioneering astronomer Aristarchus of Samos; engineering genius Archimedes of Siracusa; Hipparchus of Rhodes, who made celestial globes depicting the stars; Ctesibius of Alexandria, who invented hydraulic water organs; and Hero of Alexandria, who made steam engines. -
Squaring the Circle a Case Study in the History of Mathematics the Problem
Squaring the Circle A Case Study in the History of Mathematics The Problem Using only a compass and straightedge, construct for any given circle, a square with the same area as the circle. The general problem of constructing a square with the same area as a given figure is known as the Quadrature of that figure. So, we seek a quadrature of the circle. The Answer It has been known since 1822 that the quadrature of a circle with straightedge and compass is impossible. Notes: First of all we are not saying that a square of equal area does not exist. If the circle has area A, then a square with side √A clearly has the same area. Secondly, we are not saying that a quadrature of a circle is impossible, since it is possible, but not under the restriction of using only a straightedge and compass. Precursors It has been written, in many places, that the quadrature problem appears in one of the earliest extant mathematical sources, the Rhind Papyrus (~ 1650 B.C.). This is not really an accurate statement. If one means by the “quadrature of the circle” simply a quadrature by any means, then one is just asking for the determination of the area of a circle. This problem does appear in the Rhind Papyrus, but I consider it as just a precursor to the construction problem we are examining. The Rhind Papyrus The papyrus was found in Thebes (Luxor) in the ruins of a small building near the Ramesseum.1 It was purchased in 1858 in Egypt by the Scottish Egyptologist A. -
High Pressure Pumps
HIGH PRESSURE PUMPS 120 INDUSTRIAL DR. SLIDELL, LOUISIANA 70460 USA P: 985.649.3000 | F: 985.649.4300 THOMASPUMP.COM HIGH PRESSURE PUMPS T-GTO / T-GTO XD / T-GEAR T-GTO / T-GTO XD / T-GEAR are high pressure pumps designed for critical applications, making them the most reliable high-pressure pumps in the marketplace. FIELDS OF APPLICATION T-GTO / T-GTO XD / T-GEAR • Sanitation Cleaning • Paper Mill Showering • Truck Cleaning Facilities • Brine Injection • Environmental Waste Disposal • Boiler Feed • Mill De-scaling • Oil and Gas DESIGN T-GTO series is a heavy duty oil lubricated Pitot tube T-GTO XD series has been developed for low flow, high pump designed for critical applications making it the most pressure applications. The Pitot tube design produces a reliable high-pressure pump in the marketplace. stable, pulsation free flow. The ability to operate with low minimum flow makes the pump suitable for a wide variety With a full range of capacities from 30-400 GPM (6-100 of applications, within its performance envelope. m3hr) and pressures reaching 1600-psi (110 bar) the T-GTO offers a variety of pump choices. A robust power frame, features that include only two basic working parts: T-GEAR series is a single-stage, parallel shaft speed 1) a rotating case and 2) a stationary pick-up tube, and a increaser. Heat dissipation is from a dynamically balanced mechanical seal that only seals against suction pressure, fan blowing across the finned gearbox casing. The design ensure pump reliability in the most demanding applications. is for horizontal installation only. -
Cyclic Hydraulic Actuation for Soft Robotic Devices
2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) Daejeon Convention Center October 9-14, 2016, Daejeon, Korea Cyclic Hydraulic Actuation for Soft Robotic Devices Robert K Katzschmann, Austin de Maille, David L Dorhout, Daniela Rus Abstract— Undulating structures are one of the most diverse Soft Body and successful forms of locomotion in nature, both on ground Pressurized Liquid and in water. This paper presents a comparative study for actuation by undulation in water. We focus on actuating a 1DOF systems with several mechanisms. A hydraulic pump attached to a soft body allows for water movement between two inner Deflection cavities, ultimately leading to a flexing actuation in a side-to- side manner. The effectiveness of six different, self-contained designs based on centrifugal pump, flexible impeller pump, Cyclic Actuator external gear pump and rotating valves are compared. These hydraulic actuation systems combined with soft test bodies were De-Pressurized Liquid then measured at a lower and higher oscillation frequency. The deflection characteristics of the soft body, the acoustic noise of the pump and the overall efficiency of the system Fig. 1: Cyclic hydraulic actuation of a soft body through an are recorded. A brushless, centrifugal pump combined with a actuator producing undulating motions. novel rotating valve performed at both test frequencies as the most efficient pump, producing sufficiently large cyclic body deflections along with the least acoustic noise among all pumps tested. An external gear pump design produced the largest body and compact actuation with long endurance for soft fluidic deflection, but consumes an order of magnitude more power actuators [1]. -
15 Famous Greek Mathematicians and Their Contributions 1. Euclid
15 Famous Greek Mathematicians and Their Contributions 1. Euclid He was also known as Euclid of Alexandria and referred as the father of geometry deduced the Euclidean geometry. The name has it all, which in Greek means “renowned, glorious”. He worked his entire life in the field of mathematics and made revolutionary contributions to geometry. 2. Pythagoras The famous ‘Pythagoras theorem’, yes the same one we have struggled through in our childhood during our challenging math classes. This genius achieved in his contributions in mathematics and become the father of the theorem of Pythagoras. Born is Samos, Greece and fled off to Egypt and maybe India. This great mathematician is most prominently known for, what else but, for his Pythagoras theorem. 3. Archimedes Archimedes is yet another great talent from the land of the Greek. He thrived for gaining knowledge in mathematical education and made various contributions. He is best known for antiquity and the invention of compound pulleys and screw pump. 4. Thales of Miletus He was the first individual to whom a mathematical discovery was attributed. He’s best known for his work in calculating the heights of pyramids and the distance of the ships from the shore using geometry. 5. Aristotle Aristotle had a diverse knowledge over various areas including mathematics, geology, physics, metaphysics, biology, medicine and psychology. He was a pupil of Plato therefore it’s not a surprise that he had a vast knowledge and made contributions towards Platonism. Tutored Alexander the Great and established a library which aided in the production of hundreds of books. -
Greek Numbers 05/10/2006 12:02 PM
Greek numbers 05/10/2006 12:02 PM History topic: Greek number systems There were no single Greek national standards in the first millennium BC. since the various island states prided themselves on their independence. This meant that they each had their own currency, weights and measures etc. These in turn led to small differences in the number system between different states since a major function of a number system in ancient times was to handle business transactions. However we will not go into sufficient detail in this article to examine the small differences between the system in separate states but rather we will look at its general structure. We should say immediately that the ancient Greeks had different systems for cardinal numbers and ordinal numbers so we must look carefully at what we mean by Greek number systems. Also we shall look briefly at some systems proposed by various Greek mathematicians but not widely adopted. The first Greek number system we examine is their acrophonic system which was use in the first millennium BC. 'Acrophonic' means that the symbols for the numerals come from the first letter of the number name, so the symbol has come from an abreviation of the word which is used for the number. Here are the symbols for the numbers 5, 10, 100, 1000, 10000. Acrophonic 5, 10, 100, 1000, 10000. We have omitted the symbol for 'one', a simple '|', which was an obvious notation not coming from the initial letter of a number. For 5, 10, 100, 1000, 10000 there will be only one puzzle for the reader and that is the symbol for 5 which should by P if it was the first letter of Pente. -
Customizing a Self-Healing Soft Pump for Robot
ARTICLE https://doi.org/10.1038/s41467-021-22391-x OPEN Customizing a self-healing soft pump for robot ✉ Wei Tang 1, Chao Zhang 1 , Yiding Zhong1, Pingan Zhu1,YuHu1, Zhongdong Jiao 1, Xiaofeng Wei1, ✉ Gang Lu1, Jinrong Wang 1, Yuwen Liang1, Yangqiao Lin 1, Wei Wang1, Huayong Yang1 & Jun Zou 1 Recent advances in soft materials enable robots to possess safer human-machine interaction ways and adaptive motions, yet there remain substantial challenges to develop universal driving power sources that can achieve performance trade-offs between actuation, speed, portability, and reliability in untethered applications. Here, we introduce a class of fully soft 1234567890():,; electronic pumps that utilize electrical energy to pump liquid through electrons and ions migration mechanism. Soft pumps combine good portability with excellent actuation per- formances. We develop special functional liquids that merge unique properties of electrically actuation and self-healing function, providing a direction for self-healing fluid power systems. Appearances and pumpabilities of soft pumps could be customized to meet personalized needs of diverse robots. Combined with a homemade miniature high-voltage power con- verter, two different soft pumps are implanted into robotic fish and vehicle to achieve their untethered motions, illustrating broad potential of soft pumps as universal power sources in untethered soft robotics. ✉ 1 State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, China. email: [email protected]; [email protected] NATURE COMMUNICATIONS | (2021) 12:2247 | https://doi.org/10.1038/s41467-021-22391-x | www.nature.com/naturecommunications 1 ARTICLE NATURE COMMUNICATIONS | https://doi.org/10.1038/s41467-021-22391-x nspired by biological systems, scientists and engineers are a robotic vehicle to achieve untethered and versatile motions Iincreasingly interested in developing soft robots1–4 capable of when the customized soft pumps are implanted into them. -
Chapter Two Democritus and the Different Limits to Divisibility
CHAPTER TWO DEMOCRITUS AND THE DIFFERENT LIMITS TO DIVISIBILITY § 0. Introduction In the previous chapter I tried to give an extensive analysis of the reasoning in and behind the first arguments in the history of philosophy in which problems of continuity and infinite divisibility emerged. The impact of these arguments must have been enormous. Designed to show that rationally speaking one was better off with an Eleatic universe without plurality and without motion, Zeno’s paradoxes were a challenge to everyone who wanted to salvage at least those two basic features of the world of common sense. On the other hand, sceptics, for whatever reason weary of common sense, could employ Zeno-style arguments to keep up the pressure. The most notable representative of the latter group is Gorgias, who in his book On not-being or On nature referred to ‘Zeno’s argument’, presumably in a demonstration that what is without body and does not have parts, is not. It is possible that this followed an earlier argument of his that whatever is one, must be without body.1 We recognize here what Aristotle calls Zeno’s principle, that what does not have bulk or size, is not. Also in the following we meet familiar Zenonian themes: Further, if it moves and shifts [as] one, what is, is divided, not being continuous, and there [it is] not something. Hence, if it moves everywhere, it is divided everywhere. But if that is the case, then everywhere it is not. For it is there deprived of being, he says, where it is divided, instead of ‘void’ using ‘being divided’.2 Gorgias is talking here about the situation that there is motion within what is. -
Thales of Miletus Sources and Interpretations Miletli Thales Kaynaklar Ve Yorumlar
Thales of Miletus Sources and Interpretations Miletli Thales Kaynaklar ve Yorumlar David Pierce October , Matematics Department Mimar Sinan Fine Arts University Istanbul http://mat.msgsu.edu.tr/~dpierce/ Preface Here are notes of what I have been able to find or figure out about Thales of Miletus. They may be useful for anybody interested in Thales. They are not an essay, though they may lead to one. I focus mainly on the ancient sources that we have, and on the mathematics of Thales. I began this work in preparation to give one of several - minute talks at the Thales Meeting (Thales Buluşması) at the ruins of Miletus, now Milet, September , . The talks were in Turkish; the audience were from the general popu- lation. I chose for my title “Thales as the originator of the concept of proof” (Kanıt kavramının öncüsü olarak Thales). An English draft is in an appendix. The Thales Meeting was arranged by the Tourism Research Society (Turizm Araştırmaları Derneği, TURAD) and the office of the mayor of Didim. Part of Aydın province, the district of Didim encompasses the ancient cities of Priene and Miletus, along with the temple of Didyma. The temple was linked to Miletus, and Herodotus refers to it under the name of the family of priests, the Branchidae. I first visited Priene, Didyma, and Miletus in , when teaching at the Nesin Mathematics Village in Şirince, Selçuk, İzmir. The district of Selçuk contains also the ruins of Eph- esus, home town of Heraclitus. In , I drafted my Miletus talk in the Math Village. Since then, I have edited and added to these notes.