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Rotational Motion (The Dynamics of a Rigid Body)
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Robert Katz Publications Research Papers in Physics and Astronomy 1-1958 Physics, Chapter 11: Rotational Motion (The Dynamics of a Rigid Body) Henry Semat City College of New York Robert Katz University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/physicskatz Part of the Physics Commons Semat, Henry and Katz, Robert, "Physics, Chapter 11: Rotational Motion (The Dynamics of a Rigid Body)" (1958). Robert Katz Publications. 141. https://digitalcommons.unl.edu/physicskatz/141 This Article is brought to you for free and open access by the Research Papers in Physics and Astronomy at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Robert Katz Publications by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. 11 Rotational Motion (The Dynamics of a Rigid Body) 11-1 Motion about a Fixed Axis The motion of the flywheel of an engine and of a pulley on its axle are examples of an important type of motion of a rigid body, that of the motion of rotation about a fixed axis. Consider the motion of a uniform disk rotat ing about a fixed axis passing through its center of gravity C perpendicular to the face of the disk, as shown in Figure 11-1. The motion of this disk may be de scribed in terms of the motions of each of its individual particles, but a better way to describe the motion is in terms of the angle through which the disk rotates. -
Negative Energies and Time Reversal in Quantum Field Theory F
Negative Energies and Time Reversal in Quantum Field Theory F. Henry-Couannier To cite this version: F. Henry-Couannier. Negative Energies and Time Reversal in Quantum Field Theory. Global Journal of Science Research, Global Journals™ Incorporated, 2012, 12, pp.39-58. in2p3-00865527 HAL Id: in2p3-00865527 http://hal.in2p3.fr/in2p3-00865527 Submitted on 18 Jan 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution| 4.0 International License NEGATIVE ENERGIES AND TIME REVERSAL IN QUANTUM FIELD THEORY Frederic Henry-Couannier CPPM, 163 Avenue De Luminy, Marseille 13009 France. [email protected] Abstract The theoretical and phenomenological status of negative energies is reviewed in Quantum Field Theory leading to the conclusion that hope- fully their rehabilitation might only be completed in a modified general relativistic model. 1 Introduction With recent cosmological observations related to supernovae, CMB and galactic clustering the evidence is growing that our universe is undergoing an accelerated expansion at present. Though the most popular way to account for this unex- pected result has been the reintroduction of a cosmological constant or a new kind of dark matter with negative pressure, scalar fields with negative kinetic energy, so-called phantom fields, have recently been proposed [1] [2] [3] as new sources leading to the not excluded possibility that the equation of state param- eter be less than minus one. -
Physical Model for Vaporization
Physical model for vaporization Jozsef Garai Department of Mechanical and Materials Engineering, Florida International University, University Park, VH 183, Miami, FL 33199 Abstract Based on two assumptions, the surface layer is flexible, and the internal energy of the latent heat of vaporization is completely utilized by the atoms for overcoming on the surface resistance of the liquid, the enthalpy of vaporization was calculated for 45 elements. The theoretical values were tested against experiments with positive result. 1. Introduction The enthalpy of vaporization is an extremely important physical process with many applications to physics, chemistry, and biology. Thermodynamic defines the enthalpy of vaporization ()∆ v H as the energy that has to be supplied to the system in order to complete the liquid-vapor phase transformation. The energy is absorbed at constant pressure and temperature. The absorbed energy not only increases the internal energy of the system (U) but also used for the external work of the expansion (w). The enthalpy of vaporization is then ∆ v H = ∆ v U + ∆ v w (1) The work of the expansion at vaporization is ∆ vw = P ()VV − VL (2) where p is the pressure, VV is the volume of the vapor, and VL is the volume of the liquid. Several empirical and semi-empirical relationships are known for calculating the enthalpy of vaporization [1-16]. Even though there is no consensus on the exact physics, there is a general agreement that the surface energy must be an important part of the enthalpy of vaporization. The vaporization diminishes the surface energy of the liquid; thus this energy must be supplied to the system. -
The Negative Energy in Generalized Vaidya Spacetime
universe Communication The Negative Energy in Generalized Vaidya Spacetime Vitalii Vertogradov 1,2 1 Department of the Theoretical Physics and Astronomy, Herzen State Pedagogical University, 191186 St. Petersburg, Russia; [email protected] 2 The SAO RAS, Pulkovskoe Shosse 65, 196140 St. Petersburg, Russia Received: 17 August 2020; Accepted: 17 September 2020; Published: 22 September 2020 Abstract: In this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models where we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for particles with negative energy when the II type of the matter field satisfies the equation of the state P = ar (a 2 [0 , 1]). Keywords: generalized Vaidya spacetime; naked singularity; black hole; negative energy 1. Introduction In 1969 R. Penrose theoretically predicted the effect of the negative energy formation in the Kerr metric during the process of the decay or the collision. Furthermore, the nature of the geodesics for particles with negative energy was investigated [1,2]. It was shown that in the ergosphere of a rotating black hole closed orbits for such particles are absent. This geodesics must appear from the region inside the gravitational radius. Moreover, there was research devoted to the particles with negative energy in Schwarzschild spacetime which was conducted by A. A. Grib and Yu. V. Pavlov [3]. They showed that the particles with negative energy can exist only in the region inside of the event horizon. However, the Schwarzschild black hole is the eternal one and we must consider the gravitational collapse to speak about the past of the geodesics for particles with negative energy. -
A Novel and Cost Effective Radiant Heat Flux Gauge This Paper Presents a Patent-Pending Methodology of Measuring Radiation Emiss
A Novel and Cost Effective Radiant Heat Flux Gauge S. Safaei and A. S. Rangwala Department of Fire Protection Engineering, Worcester Polytechnic Institution, Worcester, MA, 01609, USA V. Raghavan Department of Mechanical Engineering Indian Institute of Technology Madras, Chennai, India T.M. Muruganandam, Department of Aerospace Engineering, National Center for Combustion Research and Development, Indian Institute of Technology Madras, Chennai, India This paper presents a patent-pending methodology of measuring radiation emissions from fires, for the purposes of more practical optical flame detection and analysis. Flame radiation comprises of three phenomena: chemiluminescence, photoluminescence, and thermal radiation. The first two types are caused by elementary breakdown reactions of the reactants and the molecular excitations of products such as H2O and CO2, respectively. These emissions are within narrow bands of electromagnetic radiation wavelengths, and due to their specific molecular physics, are largely fuel dependant. The third type, thermal radiation emissions come from high temperature soot, which is a blanket term for any carbonaceous intermittent species of the combustion reaction. The amount and temperature of soot is case-specific, as it is influenced by fuel type, geometries, fuel-oxidizer premixing and the resulting level of combustion efficiency. However since naturally occurring fire hazards are diffusion flames, soot is present in high quantities and the majority of the radiation can be attributed to soot alone [1 – 2]. These soot emissions are over large ranges of the electromagnetic spectrum, from ultraviolet all the way to Long wave Infrared (LWIR), following the classic Planck Law for Blackbody emitters. This distribution of radiant energy, E, is highly dependent on the temperature of the emitter, T, due to its exponential relation E=T4. -
Low Cost Solar Thermoelectric Water Floating Device to Supply Measurement Platform
78 IAPGOŚ 4/2019 p-ISSN 2083-0157, e-ISSN 2391-6761 DOI: 10.35784/IAPGOS.734 LOW COST SOLAR THERMOELECTRIC WATER FLOATING DEVICE TO SUPPLY MEASUREMENT PLATFORM Andrzej Nowrot1, Monika Mikołajczyk2, Anna Manowska1, Joachim Pielot1, Antoni Wojaczek1 1Silesian University of Technology, Department of Electrical Engineering and Automation in Industry, Gliwice, Poland, 2Famur Institute Ltd, Katowice, Poland Abstract. This work presents the prototype of the solar – thermoelectric device, which can float on water surface. It produces electrical energy as a result of the Seebeck effect in a commercial, low-cost Peltier module. The main application of the device will be an autonomous and a floating measurement platform. An important advantage of the presented solution is the possibility to work alike at day, when a solar light heats the surface of the absorber, and at night, when the different of temperatures between air and water causes the heat flux and in an effect the electricity. The device is capable of working for many cloudy days and also in winter on very short days. The presented device is based on low-cost and widely available components. Keywords: thermoelectric devices, solar power generation, energy conversion TERMOELEKTRYCZNE URZĄDZENIE SOLARNE DO ZASILANIA PLATFORMY POMIAROWEJ Streszczenie. W pracy zaprezentowano prototypowe solarne urządzenie termoelektryczne pływające po powierzchni wody. Wytwarza ono w niedrogim, komercyjnym module Peltiera energię elektryczną w wyniku zachodzącego w nim zjawiska Seebecka. Docelowo głównym obszarem aplikacyjnym urządzenia będzie zasilanie autonomicznej, pływającej platformy pomiarowa do monitorowania parametrów środowiskowych. Istotną zaletą przedstawionego rozwiązania jest możliwość pracy zarówno w dzień, gdy światło słoneczne ogrzewa powierzchnię absorbera, jak również w nocy, gdy różnica temperatur między powietrzem a wodą powoduje powstawanie strumienia ciepła w module Peltiera. -
3.Joule's Experiments
The Force of Gravity Creates Energy: The “Work” of James Prescott Joule http://www.bookrags.com/biography/james-prescott-joule-wsd/ James Prescott Joule (1818-1889) was the son of a successful British brewer. He tinkered with the tools of his father’s trade (particularly thermometers), and despite never earning an undergraduate degree, he was able to answer two rather simple questions: 1. Why is the temperature of the water at the bottom of a waterfall higher than the temperature at the top? 2. Why does an electrical current flowing through a conductor raise the temperature of water? In order to adequately investigate these questions on our own, we need to first define “temperature” and “energy.” Second, we should determine how the measurement of temperature can relate to “heat” (as energy). Third, we need to find relationships that might exist between temperature and “mechanical” energy and also between temperature and “electrical” energy. Definitions: Before continuing, please write down what you know about temperature and energy below. If you require more space, use the back. Temperature: Energy: We have used the concept of gravity to show how acceleration of freely falling objects is related mathematically to distance, time, and speed. We have also used the relationship between net force applied through a distance to define “work” in the Harvard Step Test. Now, through the work of Joule, we can equate the concepts of “work” and “energy”: Energy is the capacity of a physical system to do work. Potential energy is “stored” energy, kinetic energy is “moving” energy. One type of potential energy is that induced by the gravitational force between two objects held at a distance (there are other types of potential energy, including electrical, magnetic, chemical, nuclear, etc). -
Estimation of the Dissipation Rate of Turbulent Kinetic Energy: a Review
Chemical Engineering Science 229 (2021) 116133 Contents lists available at ScienceDirect Chemical Engineering Science journal homepage: www.elsevier.com/locate/ces Review Estimation of the dissipation rate of turbulent kinetic energy: A review ⇑ Guichao Wang a, , Fan Yang a,KeWua, Yongfeng Ma b, Cheng Peng c, Tianshu Liu d, ⇑ Lian-Ping Wang b,c, a SUSTech Academy for Advanced Interdisciplinary Studies, Southern University of Science and Technology, Shenzhen 518055, PR China b Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research and Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, Guangdong, China c Department of Mechanical Engineering, 126 Spencer Laboratory, University of Delaware, Newark, DE 19716-3140, USA d Department of Mechanical and Aeronautical Engineering, Western Michigan University, Kalamazoo, MI 49008, USA highlights Estimate of turbulent dissipation rate is reviewed. Experimental works are summarized in highlight of spatial/temporal resolution. Data processing methods are compared. Future directions in estimating turbulent dissipation rate are discussed. article info abstract Article history: A comprehensive literature review on the estimation of the dissipation rate of turbulent kinetic energy is Received 8 July 2020 presented to assess the current state of knowledge available in this area. Experimental techniques (hot Received in revised form 27 August 2020 wires, LDV, PIV and PTV) reported on the measurements of turbulent dissipation rate have been critically Accepted 8 September 2020 analyzed with respect to the velocity processing methods. Traditional hot wires and LDV are both a point- Available online 12 September 2020 based measurement technique with high temporal resolution and Taylor’s frozen hypothesis is generally required to transfer temporal velocity fluctuations into spatial velocity fluctuations in turbulent flows. -
Energy Efficiency in the Steel Industry with Emphasis on Developing Countries Public Disclosure Authorized
WTP22 WORLD BANK TECHNICAL PAPER NUMBER 22 July 1984 Energy Efficiency in the Steel Industry with Emphasis on Developing Countries Public Disclosure Authorized Maurice Y. Meunier and Oscar de Bruyn Kops Public Disclosure Authorized _ - - '-,-.- X *C Public Disclosure Authorized i--. - e>St A-a | *>eF7tt,- -- ;---->V v Public Disclosure Authorized WORLD BANK TECHNICAL PAPERS No. 1. Increasing Agricultural Productivity No. 2. A Model for the Development of a Self-help Water Supply Program No. 3. Ventilated Improved Pit Latrines: Recent Developments in Zimbabwe No. 4. The African Typanosomiases: Methods and Concepts of Control and Eradication in Relation to Development (No. 5.) Structural Changes in World Industry: A Quantitative Analysis of Recent Developments No. 6. Laboratory Evaluation of Hand-operated Water Pumps for Use in Developing Countries No. 7. Notes on the Design and Operation of Waste Stabilization Ponds in Warm Climates of Developing Countries No. 8. Institution Building for Traffic Management (No. 9.) Meeting the Needs of the Poor for Water Supply and Waste Disposal No. 10. Appraising Poultry Enterprises for Profitability: A Manual for Investors No. 11. Opportunities for Biological Control of Agricultural Pests in Developing Countries No. 12. Water Supply and Sanitation Project Preparation Handbook: Guidelines No. 13. Water Supply and Sanitation Project Preparation Handbook: Case Studies No. 14. Water Supply and Sanitation Project Preparation Handbook: Case Study (No. 15.)Sheep and Goats in Developing Countries: Their Present and Potential Role (No. 16.)Managing Elephant Depredation in Agricultural and Forestry Projects (No. 17.)Energy Efficiency and Fuel Substitution in the Cement Industry with Emphasis on Developing Countries No. -
Low Power Energy Harvesting and Storage Techniques from Ambient Human Powered Energy Sources
University of Northern Iowa UNI ScholarWorks Dissertations and Theses @ UNI Student Work 2008 Low power energy harvesting and storage techniques from ambient human powered energy sources Faruk Yildiz University of Northern Iowa Copyright ©2008 Faruk Yildiz Follow this and additional works at: https://scholarworks.uni.edu/etd Part of the Power and Energy Commons Let us know how access to this document benefits ouy Recommended Citation Yildiz, Faruk, "Low power energy harvesting and storage techniques from ambient human powered energy sources" (2008). Dissertations and Theses @ UNI. 500. https://scholarworks.uni.edu/etd/500 This Open Access Dissertation is brought to you for free and open access by the Student Work at UNI ScholarWorks. It has been accepted for inclusion in Dissertations and Theses @ UNI by an authorized administrator of UNI ScholarWorks. For more information, please contact [email protected]. LOW POWER ENERGY HARVESTING AND STORAGE TECHNIQUES FROM AMBIENT HUMAN POWERED ENERGY SOURCES. A Dissertation Submitted In Partial Fulfillment of the Requirements for the Degree Doctor of Industrial Technology Approved: Dr. Mohammed Fahmy, Chair Dr. Recayi Pecen, Co-Chair Dr. Sue A Joseph, Committee Member Dr. John T. Fecik, Committee Member Dr. Andrew R Gilpin, Committee Member Dr. Ayhan Zora, Committee Member Faruk Yildiz University of Northern Iowa August 2008 UMI Number: 3321009 INFORMATION TO USERS The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleed-through, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. -
Turbulence Kinetic Energy Budgets and Dissipation Rates in Disturbed Stable Boundary Layers
4.9 TURBULENCE KINETIC ENERGY BUDGETS AND DISSIPATION RATES IN DISTURBED STABLE BOUNDARY LAYERS Julie K. Lundquist*1, Mark Piper2, and Branko Kosovi1 1Atmospheric Science Division Lawrence Livermore National Laboratory, Livermore, CA, 94550 2Program in Atmospheric and Oceanic Science, University of Colorado at Boulder 1. INTRODUCTION situated in gently rolling farmland in eastern Kansas, with a homogeneous fetch to the An important parameter in the numerical northwest. The ASTER facility, operated by the simulation of atmospheric boundary layers is the National Center for Atmospheric Research (NCAR) dissipation length scale, lε. It is especially Atmospheric Technology Division, was deployed to important in weakly to moderately stable collect turbulence data. The ASTER sonic conditions, in which a tenuous balance between anemometers were used to compute turbulence shear production of turbulence, buoyant statistics for the three velocity components and destruction of turbulence, and turbulent dissipation used to estimate dissipation rate. is maintained. In large-scale models, the A dry Arctic cold front passed the dissipation rate is often parameterized using a MICROFRONTS site at approximately 0237 UTC diagnostic equation based on the production of (2037 LST) 20 March 1995, two hours after local turbulent kinetic energy (TKE) and an estimate of sunset at 1839 LST. Time series spanning the the dissipation length scale. Proper period 0000-0600 UTC are shown in Figure 1.The parameterization of the dissipation length scale 6-hr time period was chosen because it allows from experimental data requires accurate time for the front to completely pass the estimation of the rate of dissipation of TKE from instrumented tower, with time on either side to experimental data. -
Work and Energy Summary Sheet Chapter 6
Work and Energy Summary Sheet Chapter 6 Work: work is done when a force is applied to a mass through a displacement or W=Fd. The force and the displacement must be parallel to one another in order for work to be done. F (N) W =(Fcosθ)d F If the force is not parallel to The area of a force vs. the displacement, then the displacement graph + W component of the force that represents the work θ d (m) is parallel must be found. done by the varying - W d force. Signs and Units for Work Work is a scalar but it can be positive or negative. Units of Work F d W = + (Ex: pitcher throwing ball) 1 N•m = 1 J (Joule) F d W = - (Ex. catcher catching ball) Note: N = kg m/s2 • Work – Energy Principle Hooke’s Law x The work done on an object is equal to its change F = kx in kinetic energy. F F is the applied force. 2 2 x W = ΔEk = ½ mvf – ½ mvi x is the change in length. k is the spring constant. F Energy Defined Units Energy is the ability to do work. Same as work: 1 N•m = 1 J (Joule) Kinetic Energy Potential Energy Potential energy is stored energy due to a system’s shape, position, or Kinetic energy is the energy of state. motion. If a mass has velocity, Gravitational PE Elastic (Spring) PE then it has KE 2 Mass with height Stretch/compress elastic material Ek = ½ mv 2 EG = mgh EE = ½ kx To measure the change in KE Change in E use: G Change in ES 2 2 2 2 ΔEk = ½ mvf – ½ mvi ΔEG = mghf – mghi ΔEE = ½ kxf – ½ kxi Conservation of Energy “The total energy is neither increased nor decreased in any process.