Chapter 22 Glossary
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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. -
Environmental Screening Of
Coachella Valley Stormwater Channel Improvement Project, Avenue 54 to Thermal Drop Structure Draft Environmental Impact Report / State Clearinghouse No. 2015111067 Appendices APPENDIX C Coachella Valley Stormwater Channel Improvement Project, Phase I Biological Resources Assessment & Coachella Valley Multiple Species Habitat Conservation Plan Compliance Report City of Coachella and Unincorporated Community of Thermal Submitted to: Terra Nova Planning & Research, Inc. 42635 Melanie Place, Suite 101 Palm Desert, CA 92211 Submitted by: Amec Foster Wheeler, Environment & Infrastructure, Inc. 3120 Chicago Avenue, Suite 110 Riverside, CA 92507 3 February 2016 Coachella Valley Water District C-1 Coachella Valley Stormwater Channel Improvement Project, Phase I Biological Resources Assessment & Coachella Valley Multiple Species Habitat Conservation Plan Compliance Report City of Coachella and Unincorporated Community of Thermal Riverside County, California Submitted to: Terra Nova Planning and Research, Inc. 42635 Melanie Place, Suite 101 Palm Desert, CA 92211 Contact: John Criste (760) 341-4800 [email protected] Submitted by: Amec Foster Wheeler, Environment & Infrastructure, Inc. 3120 Chicago Avenue, Suite 110 Riverside, CA 92507 Contact: John F. Green Senior Biologist (951) 369-8060 [email protected] 3 February 2016 Coachella Valley Stormwater Channel Improvement Project, Phase I Biological Resources Assessment & MSHCP Compliance Report February 2016 EXECUTIVE SUMMARY For the purposes of this assessment, analysis of the proposed Coachella Valley Stormwater Channel (CVSC) Improvement Project, Phase I (project) could include the following: Extension of existing and construction of new concrete-lined channel/levee banks, a fully concrete-lined channel from Airport Boulevard to the Thermal Drop Structure near Avenue 58, and construction of a bypass channel or combinations thereto. -
Weiwei Du Thesis
Queensland University of Technology Queensland University of Technology Faculty of Health Institute of Health and Biomedical Innovation School of Public Health Human Health and Wellbeing Domain Policy Analysis of Disaster Health Management in China Weiwei Du BA, BEc (Peking University) A THESIS SUBMITTED IN FULFILMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY November, 2010 I II Supervisory Team Principal Supervisor: Prof. Gerard FitzGerald MB, BS (Qld), BHA (NSW), MD (QLD), FACEM, FRACMA, FCHSE School of Public Health, Queensland University of Technology, Brisbane, Australia Phone: 61 7 3138 3935 Email: [email protected] Associate Supervisor: Dr. Xiang-Yu Hou BM (Shandong Uni), MD (Peking Uni), PhD (QUT) School of Public Health, Queensland University of Technology, Brisbane, Australia Phone: 61 7 3138 5596 Email: [email protected] Associate Supervisor: Prof. Michele Clark BOccThy (Hons), BA, PhD School of Public Health, Queensland University of Technology, Brisbane, Australia Phone: 61 7 3138 3525 Email: [email protected] III IV Certificate of Originality The work contained in this thesis has not been previously submitted to meet requirements for an award at this or any other higher education institution. To the best of my knowledge and belief, the thesis contains no material previously published or written by another person except where due reference is made. Signed: Mr. Weiwei Du Date: November 8th, 2010 V VI Keywords Disaster Medicine Disaster Health Management in China Disaster Policy Policy Analysis Health Consequences of Flood Case Study of Floods VII Abstract Humankind has been dealing with all kinds of disasters since the dawn of time. -
Chapter 10 Open Channels
Chapter 10 Open Channels Chapter 10 Open Channels Table of Contents 10-1 Introduction ...................................................................................................................................... 1 10-1-1 Chapter Overview ............................................................................................................. 1 10-1-2 Design Flows .................................................................................................................... 1 10-1-3 Channel Types .................................................................................................................. 2 10-1-4 Sediment Loads ................................................................................................................ 5 10-1-5 Permitting and Regulations ............................................................................................... 6 10-2 Natural Stream Corridors ............................................................................................................... 7 10-2-1 Functions and Benefits of Natural Streams ...................................................................... 8 10-2-2 Effects of Urbanization ..................................................................................................... 9 10-2-3 Preserving Natural Stream Corridors .............................................................................. 11 10-3 Stream Restoration Principles ..................................................................................................... -
April 2018 Floods in Dar Es Salaam
Policy Research Working Paper 8976 Public Disclosure Authorized Wading Out the Storm The Role of Poverty in Exposure, Vulnerability Public Disclosure Authorized and Resilience to Floods in Dar Es Salaam Alvina Erman Mercedeh Tariverdi Marguerite Obolensky Xiaomeng Chen Rose Camille Vincent Silvia Malgioglio Jun Rentschler Public Disclosure Authorized Stephane Hallegatte Nobuo Yoshida Public Disclosure Authorized Global Facility of Disaster Reduction and Recovery August 2019 Policy Research Working Paper 8976 Abstract Dar es Salaam is frequently affected by severe flooding caus- income on average. Surprisingly, poorer households are ing destruction and impeding daily life of its 4.5 million not over-represented among the households that lost the inhabitants. The focus of this paper is on the role of pov- most - even in relation to their income, possibly because 77 erty in the impact of floods on households, focusing on percent of total losses were due to asset losses, with richer both direct (damage to or loss of assets or property) and households having more valuable assets. Although indirect indirect (losses involving health, infrastructure, labor, and losses were relatively small, they had significant well-be- education) impacts using household survey data. Poorer ing effects for the affected households. It is estimated that households are more likely to be affected by floods; directly households’ losses due to the April 2018 flood reached more affected households are more likely female-headed and than US$100 million, representing between 2–4 percent of have more insecure tenure arrangements; and indirectly the gross domestic product of Dar es Salaam. Furthermore, affected households tend to have access to poorer qual- poorer households were less likely to recover from flood ity infrastructure. -
Interval Notation and Linear Inequalities
CHAPTER 1 Introductory Information and Review Section 1.7: Interval Notation and Linear Inequalities Linear Inequalities Linear Inequalities Rules for Solving Inequalities: 86 University of Houston Department of Mathematics SECTION 1.7 Interval Notation and Linear Inequalities Interval Notation: Example: Solution: MATH 1300 Fundamentals of Mathematics 87 CHAPTER 1 Introductory Information and Review Example: Solution: Example: 88 University of Houston Department of Mathematics SECTION 1.7 Interval Notation and Linear Inequalities Solution: Additional Example 1: Solution: MATH 1300 Fundamentals of Mathematics 89 CHAPTER 1 Introductory Information and Review Additional Example 2: Solution: 90 University of Houston Department of Mathematics SECTION 1.7 Interval Notation and Linear Inequalities Additional Example 3: Solution: Additional Example 4: Solution: MATH 1300 Fundamentals of Mathematics 91 CHAPTER 1 Introductory Information and Review Additional Example 5: Solution: Additional Example 6: Solution: 92 University of Houston Department of Mathematics SECTION 1.7 Interval Notation and Linear Inequalities Additional Example 7: Solution: MATH 1300 Fundamentals of Mathematics 93 Exercise Set 1.7: Interval Notation and Linear Inequalities For each of the following inequalities: Write each of the following inequalities in interval (a) Write the inequality algebraically. notation. (b) Graph the inequality on the real number line. (c) Write the inequality in interval notation. 23. 1. x is greater than 5. 2. x is less than 4. 24. 3. x is less than or equal to 3. 4. x is greater than or equal to 7. 25. 5. x is not equal to 2. 6. x is not equal to 5 . 26. 7. x is less than 1. 8. -
Solving Cubic Polynomials
Solving Cubic Polynomials 1.1 The general solution to the quadratic equation There are four steps to finding the zeroes of a quadratic polynomial. 1. First divide by the leading term, making the polynomial monic. a 2. Then, given x2 + a x + a , substitute x = y − 1 to obtain an equation without the linear term. 1 0 2 (This is the \depressed" equation.) 3. Solve then for y as a square root. (Remember to use both signs of the square root.) a 4. Once this is done, recover x using the fact that x = y − 1 . 2 For example, let's solve 2x2 + 7x − 15 = 0: First, we divide both sides by 2 to create an equation with leading term equal to one: 7 15 x2 + x − = 0: 2 2 a 7 Then replace x by x = y − 1 = y − to obtain: 2 4 169 y2 = 16 Solve for y: 13 13 y = or − 4 4 Then, solving back for x, we have 3 x = or − 5: 2 This method is equivalent to \completing the square" and is the steps taken in developing the much- memorized quadratic formula. For example, if the original equation is our \high school quadratic" ax2 + bx + c = 0 then the first step creates the equation b c x2 + x + = 0: a a b We then write x = y − and obtain, after simplifying, 2a b2 − 4ac y2 − = 0 4a2 so that p b2 − 4ac y = ± 2a and so p b b2 − 4ac x = − ± : 2a 2a 1 The solutions to this quadratic depend heavily on the value of b2 − 4ac. -
PHYSICS of ARTIFICIAL GRAVITY Angie Bukley1, William Paloski,2 and Gilles Clément1,3
Chapter 2 PHYSICS OF ARTIFICIAL GRAVITY Angie Bukley1, William Paloski,2 and Gilles Clément1,3 1 Ohio University, Athens, Ohio, USA 2 NASA Johnson Space Center, Houston, Texas, USA 3 Centre National de la Recherche Scientifique, Toulouse, France This chapter discusses potential technologies for achieving artificial gravity in a space vehicle. We begin with a series of definitions and a general description of the rotational dynamics behind the forces ultimately exerted on the human body during centrifugation, such as gravity level, gravity gradient, and Coriolis force. Human factors considerations and comfort limits associated with a rotating environment are then discussed. Finally, engineering options for designing space vehicles with artificial gravity are presented. Figure 2-01. Artist's concept of one of NASA early (1962) concepts for a manned space station with artificial gravity: a self- inflating 22-m-diameter rotating hexagon. Photo courtesy of NASA. 1 ARTIFICIAL GRAVITY: WHAT IS IT? 1.1 Definition Artificial gravity is defined in this book as the simulation of gravitational forces aboard a space vehicle in free fall (in orbit) or in transit to another planet. Throughout this book, the term artificial gravity is reserved for a spinning spacecraft or a centrifuge within the spacecraft such that a gravity-like force results. One should understand that artificial gravity is not gravity at all. Rather, it is an inertial force that is indistinguishable from normal gravity experience on Earth in terms of its action on any mass. A centrifugal force proportional to the mass that is being accelerated centripetally in a rotating device is experienced rather than a gravitational pull. -
Simple Mean Weighted Mean Or Harmonic Mean
MultiplyMultiply oror Divide?Divide? AA BestBest PracticePractice forfor FactorFactor AnalysisAnalysis 77 ––10 10 JuneJune 20112011 Dr.Dr. ShuShu-Ping-Ping HuHu AlfredAlfred SmithSmith CCEACCEA Los Angeles Washington, D.C. Boston Chantilly Huntsville Dayton Santa Barbara Albuquerque Colorado Springs Ft. Meade Ft. Monmouth Goddard Space Flight Center Ogden Patuxent River Silver Spring Washington Navy Yard Cleveland Dahlgren Denver Johnson Space Center Montgomery New Orleans Oklahoma City Tampa Tacoma Vandenberg AFB Warner Robins ALC Presented at the 2011 ISPA/SCEA Joint Annual Conference and Training Workshop - www.iceaaonline.com PRT-70, 01 Apr 2011 ObjectivesObjectives It is common to estimate hours as a simple factor of a technical parameter such as weight, aperture, power or source lines of code (SLOC), i.e., hours = a*TechParameter z “Software development hours = a * SLOC” is used as an example z Concept is applicable to any factor cost estimating relationship (CER) Our objective is to address how to best estimate “a” z Multiply SLOC by Hour/SLOC or Divide SLOC by SLOC/Hour? z Simple, weighted, or harmonic mean? z Role of regression analysis z Base uncertainty on the prediction interval rather than just the range Our goal is to provide analysts a better understanding of choices available and how to select the right approach Presented at the 2011 ISPA/SCEA Joint Annual Conference and Training Workshop - www.iceaaonline.com PR-70, 01 Apr 2011 Approved for Public Release 2 of 25 OutlineOutline Definitions -
Class 14: Basic Hydrograph Analysis Class 14: Hydrograph Analysis
Engineering Hydrology Class 14: Basic Hydrograph Analysis Class 14: Hydrograph Analysis Learning Topics and Goals: Objectives 1. Explain how hydrographs relate to hyetographs Hydrograph 2. Create DRO (direct runoff) hydrographs by separating baseflow Description 3. Relate runoff volume to watershed area and create UH (next time) Unit Hydrographs Separating Baseflow DRO Hydrographs Ocean Class 14: Hydrograph Analysis Learning Gross rainfall = depression storage + Objectives evaporation + infiltration Hydrograph + surface runoff Description Unit Hydrographs Separating Baseflow Rainfall excess = (gross rainfall – abstractions) DRO = Direct Runoff = DRO Hydrographs = net rainfall with the primary abstraction being infiltration (i.e., assuming depression storage is small and evaporation can be neglected) Class 14: Hydrograph Hydrograph Defined Analysis Learning • a hydrograph is a plot of the Objectives variation of discharge with Hydrograph Description respect to time (it can also be Unit the variation of stage or other Hydrographs water property with respect to Separating time) Baseflow DRO • determining the amount of Hydrographs infiltration versus the amount of runoff is critical for hydrograph interpretation Class 14: Hydrograph Meteorological Factors Analysis Learning • Rainfall intensity and pattern Objectives • Areal distribution of rainfall Hydrograph • Size and duration of the storm event Description Unit Physiographic Factors Hydrographs Separating • Size and shape of the drainage area Baseflow • Slope of the land surface and channel -
River Dynamics 101 - Fact Sheet River Management Program Vermont Agency of Natural Resources
River Dynamics 101 - Fact Sheet River Management Program Vermont Agency of Natural Resources Overview In the discussion of river, or fluvial systems, and the strategies that may be used in the management of fluvial systems, it is important to have a basic understanding of the fundamental principals of how river systems work. This fact sheet will illustrate how sediment moves in the river, and the general response of the fluvial system when changes are imposed on or occur in the watershed, river channel, and the sediment supply. The Working River The complex river network that is an integral component of Vermont’s landscape is created as water flows from higher to lower elevations. There is an inherent supply of potential energy in the river systems created by the change in elevation between the beginning and ending points of the river or within any discrete stream reach. This potential energy is expressed in a variety of ways as the river moves through and shapes the landscape, developing a complex fluvial network, with a variety of channel and valley forms and associated aquatic and riparian habitats. Excess energy is dissipated in many ways: contact with vegetation along the banks, in turbulence at steps and riffles in the river profiles, in erosion at meander bends, in irregularities, or roughness of the channel bed and banks, and in sediment, ice and debris transport (Kondolf, 2002). Sediment Production, Transport, and Storage in the Working River Sediment production is influenced by many factors, including soil type, vegetation type and coverage, land use, climate, and weathering/erosion rates. -
Introduction Into Quaternions for Spacecraft Attitude Representation
Introduction into quaternions for spacecraft attitude representation Dipl. -Ing. Karsten Groÿekatthöfer, Dr. -Ing. Zizung Yoon Technical University of Berlin Department of Astronautics and Aeronautics Berlin, Germany May 31, 2012 Abstract The purpose of this paper is to provide a straight-forward and practical introduction to quaternion operation and calculation for rigid-body attitude representation. Therefore the basic quaternion denition as well as transformation rules and conversion rules to or from other attitude representation parameters are summarized. The quaternion computation rules are supported by practical examples to make each step comprehensible. 1 Introduction Quaternions are widely used as attitude represenation parameter of rigid bodies such as space- crafts. This is due to the fact that quaternion inherently come along with some advantages such as no singularity and computationally less intense compared to other attitude parameters such as Euler angles or a direction cosine matrix. Mainly, quaternions are used to • Parameterize a spacecraft's attitude with respect to reference coordinate system, • Propagate the attitude from one moment to the next by integrating the spacecraft equa- tions of motion, • Perform a coordinate transformation: e.g. calculate a vector in body xed frame from a (by measurement) known vector in inertial frame. However, dierent references use several notations and rules to represent and handle attitude in terms of quaternions, which might be confusing for newcomers [5], [4]. Therefore this article gives a straight-forward and clearly notated introduction into the subject of quaternions for attitude representation. The attitude of a spacecraft is its rotational orientation in space relative to a dened reference coordinate system.