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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. -
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. -
Energy Harvesting from Rotating Structures
ENERGY HARVESTING FROM ROTATING STRUCTURES Tzern T. Toh, A. Bansal, G. Hong, Paul D. Mitcheson, Andrew S. Holmes, Eric M. Yeatman Department of Electrical & Electronic Engineering, Imperial College London, U.K. Abstract: In this paper, we analyze and demonstrate a novel rotational energy harvesting generator using gravitational torque. The electro-mechanical behavior of the generator is presented, alongside experimental results from an implementation based on a conventional DC motor. The off-axis performance is also modeled. Designs for adaptive power processing circuitry for optimal power harvesting are presented, using SPICE simulations. Key Words: energy-harvesting, rotational generator, adaptive generator, double pendulum 1. INTRODUCTION with ω the angular rotation rate of the host. Energy harvesting from moving structures has been a topic of much research, particularly for applications in powering wireless sensors [1]. Most motion energy harvesters are inertial, drawing power from the relative motion between an oscillating proof mass and the frame from which it is suspended [2]. For many important applications, including tire pressure sensing and condition monitoring of machinery, the host structure undergoes continuous rotation; in these Fig. 1: Schematic of the gravitational torque cases, previous energy harvesters have typically generator. IA is the armature current and KE is the been driven by the associated vibration. In this motor constant. paper we show that rotational motion can be used directly to harvest power, and that conventional Previously we reported initial experimental rotating machines can be easily adapted to this results for this device, and circuit simulations purpose. based on a buck-boost converter [3]. In this paper All mechanical to electrical transducers rely on we consider a Flyback power conversion circuit, the relative motion of two generator sections. -
Rotational Piezoelectric Energy Harvesting: a Comprehensive Review on Excitation Elements, Designs, and Performances
energies Review Rotational Piezoelectric Energy Harvesting: A Comprehensive Review on Excitation Elements, Designs, and Performances Haider Jaafar Chilabi 1,2,* , Hanim Salleh 3, Waleed Al-Ashtari 4, E. E. Supeni 1,* , Luqman Chuah Abdullah 1 , Azizan B. As’arry 1, Khairil Anas Md Rezali 1 and Mohammad Khairul Azwan 5 1 Department of Mechanical and Manufacturing, Faculty of Engineering, Universiti Putra Malaysia, Serdang 43400, Malaysia; [email protected] (L.C.A.); [email protected] (A.B.A.); [email protected] (K.A.M.R.) 2 Midland Refineries Company (MRC), Ministry of Oil, Baghdad 10022, Iraq 3 Institute of Sustainable Energy, Universiti Tenaga Nasional, Jalan Ikram-Uniten, Kajang 43000, Malaysia; [email protected] 4 Mechanical Engineering Department, College of Engineering University of Baghdad, Baghdad 10022, Iraq; [email protected] 5 Department of Mechanical Engineering, College of Engineering, Universiti Tenaga Nasional, Jalan Ikram-15 Uniten, Kajang 43000, Malaysia; [email protected] * Correspondence: [email protected] (H.J.C.); [email protected] (E.E.S.) Abstract: Rotational Piezoelectric Energy Harvesting (RPZTEH) is widely used due to mechanical rotational input power availability in industrial and natural environments. This paper reviews the recent studies and research in RPZTEH based on its excitation elements and design and their influence on performance. It presents different groups for comparison according to their mechanical Citation: Chilabi, H.J.; Salleh, H.; inputs and applications, such as fluid (air or water) movement, human motion, rotational vehicle tires, Al-Ashtari, W.; Supeni, E.E.; and other rotational operational principal including gears. The work emphasises the discussion of Abdullah, L.C.; As’arry, A.B.; Rezali, K.A.M.; Azwan, M.K. -
Micro Gas Turbine Engine: a Review
Chapter 5 Micro Gas Turbine Engine: A Review Marco Antônio Rosa do Nascimento, Lucilene de Oliveira Rodrigues, Eraldo Cruz dos Santos, Eli Eber Batista Gomes, Fagner Luis Goulart Dias, Elkin Iván Gutiérrez Velásques and Rubén Alexis Miranda Carrillo Additional information is available at the end of the chapter http://dx.doi.org/10.5772/54444 1. Introduction Microturbines are energy generators whose capacity ranges from 15 to 300 kW. Their basic principle comes from open cycle gas turbines, although they present several typi‐ cal features, such as: variable speed, high speed operation, compact size, simple opera‐ bility, easy installation, low maintenance, air bearings, low NOX emissions and usually a recuperator (Hamilton, 2001). Microturbines came into the automotive market between 1950 and 1970. The first microtur‐ bines were based on gas turbine designed to be used in generators of missile launching sta‐ tions, aircraft and bus engines, among other commercial means of transport. The use of this equipment in the energy market increased between 1980 and 1990, when the demand for distributed generating technologies increased as well (LISS, 1999). Distributed generation systems may prove more attractive in a competitive market to those seeking to increase reliability and gain independence by self-generating. Manufacturers of gas and liquid-fueled microturbines and advanced turbine systems have bench test results showing that they will either meet or beat current emission goals for nitrogen oxides (NOX) and other pollutants (Hamilton, 2001). Air quality regulation agencies need to account for this technological innovation. Emission control technologies and regulations for distributed generation system are not yet precisely defined. -
A Review of Range Extenders in Battery Electric Vehicles: Current Progress and Future Perspectives
Review A Review of Range Extenders in Battery Electric Vehicles: Current Progress and Future Perspectives Manh-Kien Tran 1,* , Asad Bhatti 2, Reid Vrolyk 1, Derek Wong 1 , Satyam Panchal 2 , Michael Fowler 1 and Roydon Fraser 2 1 Department of Chemical Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L3G1, Canada; [email protected] (R.V.); [email protected] (D.W.); [email protected] (M.F.) 2 Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L3G1, Canada; [email protected] (A.B.); [email protected] (S.P.); [email protected] (R.F.) * Correspondence: [email protected]; Tel.: +1-519-880-6108 Abstract: Emissions from the transportation sector are significant contributors to climate change and health problems because of the common use of gasoline vehicles. Countries in the world are attempting to transition away from gasoline vehicles and to electric vehicles (EVs), in order to reduce emissions. However, there are several practical limitations with EVs, one of which is the “range anxiety” issue, due to the lack of charging infrastructure, the high cost of long-ranged EVs, and the limited range of affordable EVs. One potential solution to the range anxiety problem is the use of range extenders, to extend the driving range of EVs while optimizing the costs and performance of the vehicles. This paper provides a comprehensive review of different types of EV range extending technologies, including internal combustion engines, free-piston linear generators, fuel cells, micro Citation: Tran, M.-K.; Bhatti, A.; gas turbines, and zinc-air batteries, outlining their definitions, working mechanisms, and some recent Vrolyk, R.; Wong, D.; Panchal, S.; Fowler, M.; Fraser, R. -
Training Fact Sheet - Energy in Autorotations Contact: Nick Mayhew Phone: (321) 567 0386 ______
Training Fact Sheet - Energy in Autorotations Contact: Nick Mayhew Phone: (321) 567 0386 ______________________________________________________________________________________________ Using Energy for Our Benefit these energies cannot be created or destroyed, just transferred from one place to another. Relative Sizes of the Energy There are many ways that these energies inter-relate. Potential energy can be viewed as a source of kinetic (and rotational) energy. It’s interesting to note the relative sizes of these. It’s not easy to compare kinetic and potential energy, as they can be traded for one another. But the relatively small size of the rotational energy is surprising. One DVD on the subject showed that the rotational energy was a very small fraction of the combined kinetic The secret to extracting the maximum flexibility from an and potential energy even at the start of autorotation is to understand the various a typical flare. energies at your disposal. Energy is the ability to do work, and the ones available in an autorotation What makes this relative size difference important is that are: potential, kinetic, and rotational. There is a subtle, the rotor RPM, while the smallest energy, but powerful interplay between these is far and away the most important energy – without the energies that we can use to our benefit – but only if we rotor RPM, it is not possible to control know and understand them. the helicopter and all the other energies are of no use! The process of getting from the time/place of the engine We’ve already identified 3 different stages to the failure to safely on the ground can be autorotation – the descent, the flare and thought of as an exercise in energy management. -
Molecular Energy Levels
MOLECULAR ENERGY LEVELS DR IMRANA ASHRAF OUTLINE q MOLECULE q MOLECULAR ORBITAL THEORY q MOLECULAR TRANSITIONS q INTERACTION OF RADIATION WITH MATTER q TYPES OF MOLECULAR ENERGY LEVELS q MOLECULE q In nature there exist 92 different elements that correspond to stable atoms. q These atoms can form larger entities- called molecules. q The number of atoms in a molecule vary from two - as in N2 - to many thousand as in DNA, protiens etc. q Molecules form when the total energy of the electrons is lower in the molecule than in individual atoms. q The reason comes from the Aufbau principle - to put electrons into the lowest energy configuration in atoms. q The same principle goes for molecules. q MOLECULE q Properties of molecules depend on: § The specific kind of atoms they are composed of. § The spatial structure of the molecules - the way in which the atoms are arranged within the molecule. § The binding energy of atoms or atomic groups in the molecule. TYPES OF MOLECULES q MONOATOMIC MOLECULES § The elements that do not have tendency to form molecules. § Elements which are stable single atom molecules are the noble gases : helium, neon, argon, krypton, xenon and radon. q DIATOMIC MOLECULES § Diatomic molecules are composed of only two atoms - of the same or different elements. § Examples: hydrogen (H2), oxygen (O2), carbon monoxide (CO), nitric oxide (NO) q POLYATOMIC MOLECULES § Polyatomic molecules consist of a stable system comprising three or more atoms. TYPES OF MOLECULES q Empirical, Molecular And Structural Formulas q Empirical formula: Indicates the simplest whole number ratio of all the atoms in a molecule. -
The Impact of a Microturbine Power Plant on an Off-Road Range
The Impact of a Microturbine Power Plant On an Off-Road Range-Extended Electric Vehicle Andrew Wyatt Zetts Thesis submitted to the faculty of the Virginia Polytechnic Institute and State University in partial fulfillment of the requirements for the degree of Master of Science in Mechanical Engineering Alfred L. Wicks, Chair Douglas J. Nelson Walter F. O‘Brien February 11, 2015 Blacksburg, VA Keywords: Microturbine, HEV, Autonomy Copyright © 2015 by Andrew W Zetts The Impact of a Microturbine Power Plant On an Off-Road Range-Extended Electric Vehicle Andrew Wyatt Zetts ABSTRACT The purpose of this thesis is to examine the feasibility of using a microturbine to power an off-road Series Hybrid Autonomous Vehicle (SHEV), and evaluate the benefits and drawbacks inherent in using a microturbine rather than an Internal Combustion Engine (ICE). The specific power plant requirements for a low speed hybrid vehicle that must operate extensively as an Electric Vehicle (EV) and run on JP-8 (a diesel equivalent) are unusual; few options can adequately address all of these needs. Most development of Hybrid Electric Vehicles (HEVs) has focused on gasoline ICE power plants, but Diesel ICEs are heavier, which has an adverse effect on EV range. While mechanically-linked turbine vehicles failed to have the same performance abilities of their ICE counterparts, a microturbine generator-powered SHEV can take advantage of its battery pack to avoid the issues inherent in its mechanical predecessors. A microturbine generator is mechanically decoupled from the powertrain, allowing for an incredibly power dense power plant that lightens the weight of the vehicle. -
Performance and Emission Study on Waste Cooking Oil Biodiesel and Distillate Blends for Microturbine Application
AIMS Energy, 3 (4): 798–809. DOI: 10.3934/energy.2015.4.798 Received date 16 August 2015, Accepted date 17 November 2015, Published date 23 November 2015 http://www.aimspress.com/ Research article Performance and emission study on waste cooking oil biodiesel and distillate blends for microturbine application Ee Sann Tan1,*, Kumaran Palanisamy1, Teuku Meurah Indra Mahlia1 and Kunio Yoshikawa2 1 Department of Mechanical Engineering, Universiti Tenaga Nasional, Jalan Ikram-Uniten, 43000, Kajang, Selangor, Malaysia 2 Department of Environmental Science and Technology, Tokyo Institute of Technology, Yokohama, Japan * Correspondence: Email: [email protected]; Tel: +6-038-921-2020; Fax: +6-038-921-2116. Abstract: Biodiesel is defined as domestic renewable energy resource, which can be derived from natural oils through the transesterification. The implementation of biodiesel is essential due to the energy depletion crisis and the impact on exacerbating environment caused by rapid consumption of conventional diesel. Waste cooking oil (WCO) was used as the raw material to produce biodiesel in order to reduce wastes polluting the environment. This paper studies the technical potential of WCO biodiesel to be used as an alternative fuel for microturbine. The ASTM D6751 and ASTM D2881 standards were selected as references to evaluate the compatibility with distillate to be used as a microturbine fuel. The performance and emission tests were conducted employing a 30 kW microturbine, without any modification, using biodiesel and distillate blends up to maximum of 20% biodiesel mixing ratio. It was found that the thermal efficiency peaked at 20% biodiesel blend with distillate, despite the fact that biodiesel had a lower calorific value and a higher fuel consumption. -
Performance Enhancement of Microturbine Engines Topped With
Pezhman Akbari Performance Enhancement of Department of Mechanical Engineering, Michigan State University, 2500 Engineering Building, Microturbine Engines Topped East Lansing, MI 48824-1226 e-mail: [email protected] With Wave Rotors Razi Nalim Department of Mechanical Engineering, Significant performance enhancement of microturbines is predicted by implementing vari- Indiana University–Purdue University ous wave-rotor-topping cycles. Five different advantageous cases are considered for Indianapolis (IUPUI), implementation of a four-port wave rotor into two given baseline engines. In these ther- Indianapolis, IN 46202-5132 modynamic analyses, the compressor and turbine pressure ratios and the turbine inlet e-mail: [email protected] temperatures are varied, according to the anticipated design objectives of the cases. Advantages and disadvantages are discussed. Comparison between the theoretic perfor- Norbert Müller mance of wave-rotor-topped and baseline engines shows a performance enhancement up Department of Mechanical Engineering, to 34%. General design maps are generated for the small gas turbines, showing the Michigan State University, design space and optima for baseline and topped engines. Also, the impact of ambient 2455 Engineering Building, temperature on the performance of both baseline and topped engines is investigated. It is East Lansing, MI 48824-1226 shown that the wave-rotor-topped engines are less prone to performance degradation ͓ ͔ e-mail: [email protected] under hot-weather conditions than the baseline engines. DOI: 10.1115/1.1924484 Introduction microturbines ͓6,7͔. Utilizing conventional recuperators based on the use of existing materials can improve the overall efficiency of A growing market for distributed power generation and propul- microturbines up to 30% ͓2,8–10͔. -
Rotational Motion and Angular Momentum 317
CHAPTER 10 | ROTATIONAL MOTION AND ANGULAR MOMENTUM 317 10 ROTATIONAL MOTION AND ANGULAR MOMENTUM Figure 10.1 The mention of a tornado conjures up images of raw destructive power. Tornadoes blow houses away as if they were made of paper and have been known to pierce tree trunks with pieces of straw. They descend from clouds in funnel-like shapes that spin violently, particularly at the bottom where they are most narrow, producing winds as high as 500 km/h. (credit: Daphne Zaras, U.S. National Oceanic and Atmospheric Administration) Learning Objectives 10.1. Angular Acceleration • Describe uniform circular motion. • Explain non-uniform circular motion. • Calculate angular acceleration of an object. • Observe the link between linear and angular acceleration. 10.2. Kinematics of Rotational Motion • Observe the kinematics of rotational motion. • Derive rotational kinematic equations. • Evaluate problem solving strategies for rotational kinematics. 10.3. Dynamics of Rotational Motion: Rotational Inertia • Understand the relationship between force, mass and acceleration. • Study the turning effect of force. • Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration. 10.4. Rotational Kinetic Energy: Work and Energy Revisited • Derive the equation for rotational work. • Calculate rotational kinetic energy. • Demonstrate the Law of Conservation of Energy. 10.5. Angular Momentum and Its Conservation • Understand the analogy between angular momentum and linear momentum. • Observe the relationship between torque and angular momentum. • Apply the law of conservation of angular momentum. 10.6. Collisions of Extended Bodies in Two Dimensions • Observe collisions of extended bodies in two dimensions. • Examine collision at the point of percussion.