1 Henry Strong Denison Scholar for

Size: px
Start display at page:

Download "1 Henry Strong Denison Scholar for"

Transcription

1 THE PALATE ANALOGUE: AN APPROACH TO UNDERSTANDING VELOPHARYNGEAL FUNCTION By A. LEE DELLON 1 and JOHN E. HooPES, M.D. Division of Plastic Surgery, The ffohns Hopkins University School of Medicine and Theffohns Hopkins Hospital, Baltimore, Maryland 212o5 FUNCTIONAL velopharyngeal relationships are being defined more precisely by means of cineradiography (Hoopes and Fabrikant, 1968 ; Yules et al., I968b). Meaningful application of the technique demands interpretation of the cineradiographic data within the total framework of the pertinent functional anatomical variables. For this reason it was found desirable to construct a functional mechanical model of the velopharynx (Fig. I A, B), referred to herein as a palate analogue. Description of the Model.--The palate analogue was constructed to represent the view of the velopharyngeal area displayed on a lateral cineradiogram (Fig. 2). Although such a view fails to consider lateral pharyngeal wall movements, investigations synchronising lateral cineradiography, horizontal tomograms and panendoscopic visualisation of velopharyngeal closure have demonstrated that the lateral view accurately describes velopharyngeal function (Bjork and Nylen, 1966). The velopharyngeal area includes the pharyngeal constrictor muscles, the palatoglossus muscle, the palatopharyngeus muscle, the levator and tensor veli palatini muscles and the uvular muscle. The palate analogue gives dynamic representation only to the levator and tensor veli palatini muscles and the palatopharyngeus muscle, since these are considered the principal muscles involved in palatal function. Further, the posterior pharyngeal wall is virtually stationary during phonation (Hagerty et al., 1958). The hard palate is represented by a rigid plate which is variable in position with respect to the posterior pharyngeal wall. The soft palate is represented by a flexible elastic structure which is variable in length. The posterior pharyngeal wall is represented by a fixed rigid plate. Three muscles : (I) levator veli palatini, (2) tensor veli palatini and (3) palatopharyngeus are represented bilaterally by silk ligatures which are variable in length, i.e., can be " contracted ". The levator insertion is variable in position throughout the length of the soft palate. Operation of the ModeL--Operation of the palate analogue enables an evaluation of the influence of depth of nasopharynx, length of soft palate, position of levator insertion, angle of the plane of the hard palate and muscle interactions upon velopharyn- ' geal function. " Contraction "of the levator veli palatini (produced by traction on the silk ligatures) results in elevation of the soft palate and velopharyngeal closure when the parameters are in a "standard" or "normal" configuration. Varying types of closure, or lack of closure, can be demonstrated by increasing the depth of the nasopharynx, decreasing the length of the soft palate, anteriorly displacing the point of levator insertion, or varying the angle between the plane of the hard palate and the posterior pharyngeal wall. Operation of the palate analogue qualitatively demonstrates that velopharyngeal closure can be dassitied as good closure, touch-closure, or no closure. No closure, i.e. velopharyngeal incompetence, can be shown to result from positioning the component 1 Henry Strong Denison Scholar for

2 THE PALATE ANALOGUE: UNDERSTANDING VELOPHARYNGEAL FUNCTION A B FIG. I The palate analogue. A. Three muscles : (I) levator veli palatini, (2) tensor veli palatini, and (3) palato-pharyngeus are represented bilaterally by silk ligatures which are variable in length, i.e., can be " contracted ". All components of the palate analogue are variable in position. B. " Contraction " of the levator veli palatini results in elevation of the soft palate and velopharyngeal closure when the parameters are in a "standard " or "normal " configuration. The levator insertion is variable in position throughout the length of the soft palate. 257

3 258 BRITISH JOURNAL OF PLASTIC SURGERY parts of the palate analogue such that there is : (I) an anterior insertion of the levator veli palatini muscle, (2) a deep nasopharynx or (3) a short soft palate. The palatopharyngeus, by virtue of the posterior component of its vector of action, can assist closure and can effect a tight seal in cases of touch-closure. The antagonistic action of the tensor veli palatini can prevent closure. f--[ q/ re-- / FIG. 2 Schematic view of palate analogue model. Velum is partially elevated. Letters A, ]3, and C represent positions to which soft palate may be relocated to shorten length of soft palate. Numerals x, II, III represent positions to which hard palate may be relocated to increase depth of nasopharynx. The holes in the soft palate represent positions into which the levator veli palatini muscle insertions may be relocated. HP, hard palate ; SP, soft palate ; U, uvula ; PH, pterygoid hamulus ; LE, levator eminence ; PPW, posterior pharyngeal wall ; LP, levator veli palatini muscle ; TP, tensor veli palatini muscle; PP, palato-pharyngeus muscle; NP, nasopharynx ; NC, nasal cavity ; OC, oral cavity. Calibration of the Model.--Operation of the palate analogue visually demonstrates qualitative information regarding patterns of velopharyngeal closure. Calibration of the model enables a quantitative evaluation of functional velopharyngeal relationship. Construction of the model is not dependent upon cineradiographic measurements, since all the components of the palate analogue are variable in position and since> therefore, all proportions of this model velopharynx are variable. In order, however, to evaluate the patterns of velopharyngeal closure, construction and calibration of the model is based upon a set of parameters devised for quantitative cineradiographic analysis of palate function : ANS and PNS: The anterior and posterior extremities of the moveable rigid plate (the hard palate), representing the anterior and posterior nasal spines. The plane of the hard palate is represented in two dimensions by a straight line connecting the points ANS and PNS. This plane is extended through the posterior pharyngeal wall. PPIV : The posterior pharyngeal wall. U : The position of the uvular tip at rest. The length of the flexible elastic extension (the soft palate) is the distance PNS-U.

4 THE PALATE ANALOGUE: UNDERSTANDING VELOPHARYNGEAL FUNCTION 259 LE: The point at which the arc traversed by the levator eminence (the locus of action of the levator veli palatini represented by its point of insertion) during closure intersects the plane of the hard palate. Levator Insertion : The distance from PNS to LE. The shorter this is, the more anterior the levator insertion. Velopharyngeal Incompetence : The ratio of the distances LE-PPW and PNS-PPW, viz., LE-PPW/PNS-PPW. A measure of the "gap " or inability to achieve closure. Relative Depth of Nasopharynx: The ratio of the distances PNS-PPVZ and ANS-PPW, viz., PNS-PPVd/ANS-PPW, which incorporates possible covariance in length of the hard and soft palate. Relative Length of Soft Palate : The ratio of the distances PNS-U and PNS-PPIJ7, viz., PNS-U/PNS-PPVd. A measure of the functional length of the soft palate. A ratio of I.OO indicates a length of soft palate barely allowing U to approximate PPW. The scale of the model is determined by comparing normal ANS-PNS values (7 mm.) with the ANS-PNS measurement of the palate analogue (200 mm.), with the relative depth of nasopharynx on the model set to equal the relative depth of the nasopharynx in the average normal individual (Hoopes et al., 1969, 197o); the scale, therefore, is 70 : 2oo or o'35 : I. Quantitative Assessment of the ModeL--Information defining the interaction between soft palate length, depth of nasopharynx and levator insertion in terms of the ability to achieve velopharyngeal closure can be obtained by systematically varying one of these anatomical parameters while maintaining the others constant. If each parameter is varied in turn, and the resulting degree of velopharyngeal incompetence and type of closure are measured upon the palate analogue, the information obtained may be plotted graphically (Fig. 3) to demonstrate functional velopharyngeal relationships. In Figure 3, lines I, II and III (depth of nasopharynx) represent the effect of varying levator insertion (the abscissa values) upon velopharyngeal incompetence (the ordinate values) and upon type of closure (the clear and cross-hatched areas). The arcs labelled A, B, C, etc., represent soft palate length. For a given soft palate length, those values on lines I, II, III below (downward and to the right) the intersection with the arc cannot exist, demonstrating the limiting relationship between soft palate length and velopharyngeal closure. The type of velopharyngeal closure, i.e., good closure, touchclosure, or no closure, is seen to be a function of several variables (levator insertion, depth of nasopharynx, soft palate length) and cannot be determined by knowledge "of any one variable alone. Mathematical analysis of the relationship between the position of levator insertion and velopharyngeal closure explains why functional velopharyngeal relationships graph as a family of straight lines (I, II, II in Figure 3) differing only in their slope. Given the statistic " levator insertion" equal to "x " and defined as the distance PNS-LE, the statistic "velopharyngeal incompetence" equal to " y" and defined as the ratio of the distances LE-PPW/PNS-PPW, and the fact that the sum of the distances PlqS-LE and LE-PPW equals the total distance PNS-PPW, we then have three equations which can be solved simultaneously. The solved equation, y = [(PNS-PPW)-x]/(PNS-PPW), can be put into the form y = mx +b, the equation of a straight line, i.e., y = (I/PNS-PPW)x + I. Since " m" is the slope of the line, and "b " is a constant, it is seen that for a given PNS-PPW (the depth of the nasopharynx) a straight line with a

5 260 BRITISH JOURNAL OF PLASTIC SURGERY negative slope results and that a change in depth of nasopharynx alters the slope of the line. A greater PNS-PPW (deeper nasopharynx) and/or a smaller PNS-LE (anteriorly displaced levator) insertion will increase LE-PPW/PNS-PPW (velopharyngeal incompetence). Velopharyngeal incompetence is, in general, independent of soft palate length, since LE-PPW/PNS-PPW is not a function of PNS-U. That the palate analogue can be used to predict accurately the degree of velopharyngeal incompetence of an individual whose velopharynx has been measured cineradiographically &LATE ANALOG FUNCTIONAL VELOPHARNGEAL RELATIONSHIP5 80 c~ 70. ~ 50- Ao ~ so- ~ 20- Q2 2~ 10- LEVATOR INSERTION (PNS-LE) (MM) FIe. 3 Graphic presentation of the relationships between levator insertion, depth of nasopharynx and velar length and their effect upon velopharyngeal incompetence and type of closure as demonstrated on the palate analogue. (See text for explanation of cross-hatched area.) may be demonstrated convincingly. In the Table data obtained from cineradiographic analysis of normal individuals and of patients with hypernasal speech secondary to cleft and submucous cleft palate (Hoopes et al., I969, I97 o) is compared with palate analogue pre- dictions. The cineradiographically measured levator insertion statistic can be converted to the scale of the palate analogue and used as the abscissa value on the graph (Fig. 3). The intersection with line I of a vertical line through the abscissa value determines the ordinate value, or degree of velopharyngeal incompetence, i.e., the predicted palate ana- logue value. It is apparent from the Table that the palate analogue accurately predicts quantitative values for human velopharyngeal function. The Table also demonstrates that the palate analogue can predict the type of velopharyngeal closure an individual is potentially capable of achieving if the individual's levator insertion statistic and relative depth of naso- pharynx are known from cineradiographic analysis. Cineradiographically, IOO per cent of normal individuals demonstrated good velopharyngeal closure, and IOO per cent of the patients with cleft palate demonstrated no closure. The palate analogue prediction is precisely the same. In the group of patients with submucous cleft palate, 75 per cent demonstrated no closure and 25 per cent demonstrated touch-closure. The palate analogue predicts the submucous cleft palate group to be in the cross-hatched area of the graph (Fig. 3). This zone must be regarded as an area of ambiguous interpretation in that any given patient with sufficient compensatory ability, i.e., anterior movement of the posterior pharyngeal wall, may achieve closure. observed if this ability is lacking or marginal. No closure or touch-closure is Application of the Model.--At the anatomical level, the palate analogue provides a dynamic view of the relationships between structure and function. At the speech pathology level, the palate analogue provides a powerful instructional tool capable of visually demonstrating the aetiology of hypernasality and nasal emission on the basis of anatomical variables. At the surgical level, the palate analogue provides an objective rationale for the selection of specific surgical techniques best suited to the individual case. With regard to this latter application, a patient's cineradiographic data can be converted to palate analogue scale and plotted on Figure 3 to illustrate graphically which of the

6 THE PALATE ANALOGUE: UNDERSTANDING VELOPHARYNGEAL FUNCTION 261 anatomical variables are abnormal and to what degree surgical correction is required. Decisions regarding palate lengthening procedures and/or surgical augmentation of the posterior pharyngeal wall can be entered into with precision. TABLE A comparison of data obtained from cineradiographic analysis of normals, cleft palate, and submucous cleft palate patients with predictions made from the graph of velopharyngeal relationships obtained with the palate analogue. Cineradiographically Measured Data Palate Analogue Predictions Velopharyngeal Incompetence Normals 12 % I 1% Submucous cleft Cleft palate 35 ~o 51 ~o 34% 53 % Type of Closure Normals IOO~o good closure loo% good closure Submucous cleft 25% touch-closure touch-closure 75% no closure Cleft palate IOO~o no closure IOO~o no closure SUMMARY A model for velopharyngeal function, the palate analogue, has been described. The palate analogue is basically a manual analogue computer which is "programmed" to "read out" visually in terms of velopharyngeal incompetence and type of closure after being "fed" such data as levator insertion, depth of nasopharynx, and soft palate length. The palate analogue's ability to predict the relationships between the complex anatomical variables of velopharyngeal function is presented, and these predictions are compared with data obtained from cineradiographic analysis of patients with normal and cleft palate speech. Applications of the palate analogue to the fields of anatomy, speech pathology and surgery are discussed. REFERENCES BJORK, L. and NYLEN, B. O. (1966). Studies on velopharyngeal closure. Acta chit. scand., I31, 226. HAGERTY, R. F., HILL, M. J., PETTIT, M. S. and KANE, J. J. (1958). Posterior pharyngeal wall movement in normals. J. Speech Hearing Res., I, 2o3. HoovEs, J. E., DELLON, A. L., FABRmA~T, J. I. and SOLIMAN, A. H. (1969). The locus of levator veli palatini function as a measure of velopharyngeal incompetence. Plastic reeonstr. Surg., 44, 155. HooPES, J. E., DELLON, A. L., F~RmANT, J. I. and SOLIMA~r, A. H. (197o). Cineradiographic definition of the anatomical variables responsible for cleft palate speech. Br. ft. plast. Surg. In press. HOOPES, J. E. and FABRIKAlqT, J. I. (1968). Objective evaluation of cleft palate speech. Plastic reconstr. Surg., 42, I. YULES, R. B. axad CHASE, 1:{. A. (1968). Quantitative cine-evaluation of palate and pharyngeal wall mobility in normal patients, in deft palate patients, and in velopharyngeal incompetence. Plastic reeonstr. Surg., 4I, 124. YULES, R. B., NORTHWAY~ W. H. and CHASE, R. A. (1968). Quantitative cine-radiographie evaluation of velopharyngeal incompetence. Plastic reconstr. Surg., 42, 58.

Otitis media. An anatomical perspective

Otitis media. An anatomical perspective Otitis media An anatomical perspective 1 Presentation prepared by: Brian Palmer, D.D.S. Kansas City, Missouri, USA December, 2001. 2 Knowledge is most meaningful when shared with others. WARNING Some of

More information

Tikrit University College of Dentistry nd

Tikrit University College of Dentistry nd Lec [10] The Palate The palate forms the roof of the mouth a the floor of the nasal cavit It is divided into two parts: the hard palate in front a the soft palate behi. Hard Palate The hard palate is formed

More information

Pharynx one of the visceral tubes the common chamber of the respiratory and digestive tracts located behind the nasal and oral cavities funnel-shaped

Pharynx one of the visceral tubes the common chamber of the respiratory and digestive tracts located behind the nasal and oral cavities funnel-shaped Pharynx and soft palate Pharynx one of the visceral tubes the common chamber of the respiratory and digestive tracts located behind the nasal and oral cavities funnel-shaped in form 12 cm in length; its

More information

AN INVESTIGATION OF VELOPHARYNGEAL CLOSURE WITH LINEAR REGRESSION. Anish Sana. December, 2015

AN INVESTIGATION OF VELOPHARYNGEAL CLOSURE WITH LINEAR REGRESSION. Anish Sana. December, 2015 AN INVESTIGATION OF VELOPHARYNGEAL CLOSURE WITH LINEAR REGRESSION by Anish Sana December, 2015 Director of Thesis: Dr. Nasseh Tabrizi Major Department: Computer Science Cleft lip and palate is a common

More information

SHOT ON GOAL. Name: Football scoring a goal and trigonometry Ian Edwards Luther College Teachers Teaching with Technology

SHOT ON GOAL. Name: Football scoring a goal and trigonometry Ian Edwards Luther College Teachers Teaching with Technology SHOT ON GOAL Name: Football scoring a goal and trigonometry 2006 Ian Edwards Luther College Teachers Teaching with Technology Shot on Goal Trigonometry page 2 THE TASKS You are an assistant coach with

More information

A Nomogram Of Performances In Endurance Running Based On Logarithmic Model Of Péronnet-Thibault

A Nomogram Of Performances In Endurance Running Based On Logarithmic Model Of Péronnet-Thibault American Journal of Engineering Research (AJER) e-issn: 2320-0847 p-issn : 2320-0936 Volume-6, Issue-9, pp-78-85 www.ajer.org Research Paper Open Access A Nomogram Of Performances In Endurance Running

More information

A Study of Olympic Winning Times

A Study of Olympic Winning Times Connecting Algebra 1 to Advanced Placement* Mathematics A Resource and Strategy Guide Updated: 05/15/ A Study of Olympic Winning Times Objective: Students will graph data, determine a line that models

More information

save percentages? (Name) (University)

save percentages? (Name) (University) 1 IB Maths Essay: What is the correlation between the height of football players and their save percentages? (Name) (University) Table of Contents Raw Data for Analysis...3 Table 1: Raw Data...3 Rationale

More information

Objectives. Materials TI-73 CBL 2

Objectives. Materials TI-73 CBL 2 . Objectives Activity 18 To model the cooling rate of different sizes of animals To determine the effect of skin surface area on the cooling rate of animals Materials TI-73 Body Cooling Rate of Animals

More information

An investigation of kinematic and kinetic variables for the description of prosthetic gait using the ENOCH system

An investigation of kinematic and kinetic variables for the description of prosthetic gait using the ENOCH system An investigation of kinematic and kinetic variables for the description of prosthetic gait using the ENOCH system K. OBERG and H. LANSHAMMAR* Amputee Training and Research Unit, University Hospital, Fack,

More information

Measuring Palatopharyngeal Competence

Measuring Palatopharyngeal Competence Measuring Palatopharyngeal Competence with the Nasal Anemometer LAWRENCE F. QUIGLEY, JR., F. R. SHIERE, D.D.S. RICHARD C. WEBSTER, M.D. D.M.D. CAROLUS M. COBB, Ph.D. Winchester, Massachusetts This report

More information

copyrighted material by PRO-ED, Inc

copyrighted material by PRO-ED, Inc Assembly 1. Insert rigid tube into black rubber base at a 90 angle to the table. 2. Drop foam float into rigid plastic tube and insert black rubber cap. 3. Insert nasal tip into flexible tubing as shown

More information

1. What function relating the variables best describes this situation? 3. How high was the balloon 5 minutes before it was sighted?

1. What function relating the variables best describes this situation? 3. How high was the balloon 5 minutes before it was sighted? Hot-Air Balloon At the West Texas Balloon Festival, a hot-air balloon is sighted at an altitude of 800 feet and appears to be descending at a steady rate of 20 feet per minute. Spectators are wondering

More information

(Lab Interface BLM) Acceleration

(Lab Interface BLM) Acceleration Purpose In this activity, you will study the concepts of acceleration and velocity. To carry out this investigation, you will use a motion sensor and a cart on a track (or a ball on a track, if a cart

More information

Experiment 8: Minor Losses

Experiment 8: Minor Losses Experiment 8: Minor Losses Purpose: To determine the loss factors for flow through a range of pipe fittings including bends, a contraction, an enlargement and a gate-valve. Introduction: Energy losses

More information

Grade: 8. Author(s): Hope Phillips

Grade: 8. Author(s): Hope Phillips Title: Tying Knots: An Introductory Activity for Writing Equations in Slope-Intercept Form Prior Knowledge Needed: Grade: 8 Author(s): Hope Phillips BIG Idea: Linear Equations how to analyze data from

More information

Chronic Otitis Media with Effusion Is Associated with Increased Risk of Secondary Speech Surgery. 343

Chronic Otitis Media with Effusion Is Associated with Increased Risk of Secondary Speech Surgery.  343 PEDIATRIC/CRANIOFACIAL Chronic Otitis Media with Effusion Is Associated with Increased Risk of Secondary Speech Surgery Lauren A. Hanes, B.Sc. Amanda Murphy, M.D. Jill E. Hatchette, Ph.D. Raylene Delorey,

More information

13. TIDES Tidal waters

13. TIDES Tidal waters Water levels vary in tidal and non-tidal waters: sailors should be aware that the depths shown on the charts do not always represent the actual amount of water under the boat. 13.1 Tidal waters In tidal

More information

Boyle s law Verifying the relation between air pressure and volume measuring air pressure in a closed container.

Boyle s law Verifying the relation between air pressure and volume measuring air pressure in a closed container. Objective The purpose of this activity is to analyze the relationship between the pressure and volume of a confined gas at constant temperature, create a hypothesis and proceed to test it using the Labdisc

More information

Pool Plunge: Linear Relationship between Depth and Pressure

Pool Plunge: Linear Relationship between Depth and Pressure Activity 3 Pool Plunge: Linear Relationship between Depth and Pressure If you dive to the bottom of a swimming pool you will feel an increasing pressure on your eardrums as you descend. The deeper you

More information

The Variation of Muscle Oxygen Consumption With Velocity of Shortening

The Variation of Muscle Oxygen Consumption With Velocity of Shortening The Variation of Muscle Oxygen Consumption With Velocity of Shortening R.J. BASKIN From the Department of Zoology, University of California, Davis ABSTRACT Total oxygen consumption following contraction

More information

4-3 Rate of Change and Slope. Warm Up. 1. Find the x- and y-intercepts of 2x 5y = 20. Describe the correlation shown by the scatter plot. 2.

4-3 Rate of Change and Slope. Warm Up. 1. Find the x- and y-intercepts of 2x 5y = 20. Describe the correlation shown by the scatter plot. 2. Warm Up 1. Find the x- and y-intercepts of 2x 5y = 20. Describe the correlation shown by the scatter plot. 2. Objectives Find rates of change and slopes. Relate a constant rate of change to the slope of

More information

INSTRUMENT INSTRUMENTAL ERROR (of full scale) INSTRUMENTAL RESOLUTION. Tutorial simulation. Tutorial simulation

INSTRUMENT INSTRUMENTAL ERROR (of full scale) INSTRUMENTAL RESOLUTION. Tutorial simulation. Tutorial simulation Lab 1 Standing Waves on a String Learning Goals: To distinguish between traveling and standing waves To recognize how the wavelength of a standing wave is measured To recognize the necessary conditions

More information

AIAA Brush Seal Performance Evaluation. P. F. Crudgington Cross Manufacturing Co. Ltd. Devizes, ENGLAND

AIAA Brush Seal Performance Evaluation. P. F. Crudgington Cross Manufacturing Co. Ltd. Devizes, ENGLAND AIAA 98-3172 Brush Seal Performance Evaluation P. F. Crudgington Cross Manufacturing Co. Ltd. Devizes, ENGLAND BRUSH SEAL PERFORMANCE EVALUATION AIAA-98-3172 P. F. Crudgington Cross Manufacturing Co. Ltd

More information

March Madness Basketball Tournament

March Madness Basketball Tournament March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: -Print out all the worksheets. -Introduce

More information

BEFORE YOU OPEN ANY FILES:

BEFORE YOU OPEN ANY FILES: Dive Analysis Lab * Make sure to download all the data files for the lab onto your computer. * Bring your computer to lab. * Bring a blank disk or memory stick to class to save your work and files. The

More information

Kennedy Bridge - Summary of Pier 6 Movement Records

Kennedy Bridge - Summary of Pier 6 Movement Records KENNEDY BRIDGE - SUMMARY OF PIER 6 MOVEMENT RECORDS TECHNICAL MEMORANDUM Kennedy Bridge - Summary of Pier 6 Movement Records PREPARED FOR: COPY TO: MnDOT Dale Thomas / CH2M HILL File PREPARED BY: DATE:

More information

Applying Hooke s Law to Multiple Bungee Cords. Introduction

Applying Hooke s Law to Multiple Bungee Cords. Introduction Applying Hooke s Law to Multiple Bungee Cords Introduction Hooke s Law declares that the force exerted on a spring is proportional to the amount of stretch or compression on the spring, is always directed

More information

Presented to the International Technical Rescue Symposium, November Abstract

Presented to the International Technical Rescue Symposium, November Abstract Presented to the International Technical Rescue Symposium, November 21 Presented by: Chuck Weber, PMI Quality Manager Abstract This paper presents the results of 162 individual drop tests performed at

More information

Standard 3.1 The student will plan and conduct investigations in which

Standard 3.1 The student will plan and conduct investigations in which Teacher Name: Tammy Heddings Date: April 04, 2009 Grade Level: 3-6 Subject: Science Time: 30 minutes Concept: Scientific Investigation Topic: Variables SOLs: Standard 3.1 The student will plan and conduct

More information

March Madness Basketball Tournament

March Madness Basketball Tournament March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: -Print out all the worksheets. -Introduce

More information

THE FUNDAMENTALS OF THE AIR SAMPLER CALIBRATION-VERIFICATION PROCESS

THE FUNDAMENTALS OF THE AIR SAMPLER CALIBRATION-VERIFICATION PROCESS THE FUNDAMENTALS OF THE AIR SAMPLER CALIBRATION-VERIFICATION PROCESS Frank M. Gavila F&J SPECIALTY PRODUCTS, INC. 404 Cypress Road Ocala, Florida, USA 3447 fandj@fjspecialty.com INTRODUCTION The calibration

More information

Core practical 14: Investigate the relationship between the pressure and volume of a gas at fixed temperature

Core practical 14: Investigate the relationship between the pressure and volume of a gas at fixed temperature Core practical 14 Teacher sheet pressure To measure the volume of a gas at constant temperature but varying pressure Specification links Students should carry out this work with due attention to safety

More information

Pressure Measurement

Pressure Measurement Pressure Measurement Absolute and Gage Pressure P abs = P gage + P atm where P abs = Absolute pressure P abs = Gage pressure P abs = atmospheric pressure A perfect vacuum is the lowest possible pressure.

More information

Drilling Efficiency Utilizing Coriolis Flow Technology

Drilling Efficiency Utilizing Coriolis Flow Technology Session 12: Drilling Efficiency Utilizing Coriolis Flow Technology Clement Cabanayan Emerson Process Management Abstract Continuous, accurate and reliable measurement of drilling fluid volumes and densities

More information

Running head: DATA ANALYSIS AND INTERPRETATION 1

Running head: DATA ANALYSIS AND INTERPRETATION 1 Running head: DATA ANALYSIS AND INTERPRETATION 1 Data Analysis and Interpretation Final Project Vernon Tilly Jr. University of Central Oklahoma DATA ANALYSIS AND INTERPRETATION 2 Owners of the various

More information

PX4 P L A S T I C PX4 PERFORMANCE WIL T-02

PX4 P L A S T I C PX4 PERFORMANCE WIL T-02 PX4 P L A S T I C PX4 PERFORMANCE WIL-10161-T-02 Section 5B Pro-Flo X TM Operating Principal The Pro-Flo X air distribution system with the revolutionary Efficiency Management System (EMS) offers flexibility

More information

At each type of conflict location, the risk is affected by certain parameters:

At each type of conflict location, the risk is affected by certain parameters: TN001 April 2016 The separated cycleway options tool (SCOT) was developed to partially address some of the gaps identified in Stage 1 of the Cycling Network Guidance project relating to separated cycleways.

More information

Procedure 1: Volume vs. Pressure 1.) Using the lap tops, go to the Physics Education Technology from the University of Colorado at:

Procedure 1: Volume vs. Pressure 1.) Using the lap tops, go to the Physics Education Technology from the University of Colorado at: Deriving the Gas Laws Background The gaseous state of matter consists of particles (gas molecules like oxygen, nitrogen, and carbon dioxide) which, according to the kinetic theory of gases, are in constant

More information

Purpose. Outline. Angle definition. Objectives:

Purpose. Outline. Angle definition. Objectives: Disclosure Information AACPDM 69 th Annual Meeting October 21-24, 2015 Speaker Names: Sylvia Õunpuu, MSc and Kristan Pierz, MD Gait Analysis Data Interpretation: Understanding Kinematic Relationships Within

More information

HOW FAST/FAR DOES FLY LINE FALL? N. Perkins of the University of Michigan, March 2003

HOW FAST/FAR DOES FLY LINE FALL? N. Perkins of the University of Michigan, March 2003 HOW FAST/FAR DOES FLY LINE FALL? N. Perkins of the University of Michigan, March 003 This report summarizes a simple model for the free fall dynamics of a length of fly line. The line is assumed to remain

More information

INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 1, No 4, 2010

INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 1, No 4, 2010 Effect of geometric dimensions on the transmission coefficient of floating breakwaters Mohammad Hosein Tadayon, Khosro Bargi 2, Hesam Sharifian, S. Reza Hoseini - Ph.D student, Department of Civil Engineering,

More information

Dynamic Positioning Control Augmentation for Jack-up Vessels

Dynamic Positioning Control Augmentation for Jack-up Vessels DYNAMIC POSITIONING CONFERENCE October 9-10, 2012 Design and Control Session Dynamic Positioning Control Augmentation for Jack-up Vessels By Bradley Deghuee L-3 Communications 1 Introduction Specialized

More information

Motion in 1 Dimension

Motion in 1 Dimension A.P. Physics 1 LCHS A. Rice Unit 1 Displacement, Velocity, & Acceleration: Motion in 1 Dimension In-Class Example Problems and Lecture Notes 1. Freddy the cat started at the 3 meter position. He then walked

More information

Chapter 3 Atmospheric Thermodynamics

Chapter 3 Atmospheric Thermodynamics Chapter 3 Atmospheric Thermodynamics Spring 2017 Partial Pressure and Dalton Dalton's law of partial pressure: total pressure exerted by a mixture of gases which do not interact chemically is equal to

More information

Item 404 Driving Piling

Item 404 Driving Piling Item Driving Piling 1. DESCRIPTION Drive piling. 2. EQUIPMENT 2.1. Driving Equipment. Use power hammers for driving piling with specified bearing resistance. Use power hammers that comply with Table 1.

More information

PUBLISHED PROJECT REPORT PPR850. Optimisation of water flow depth for SCRIM. S Brittain, P Sanders and H Viner

PUBLISHED PROJECT REPORT PPR850. Optimisation of water flow depth for SCRIM. S Brittain, P Sanders and H Viner PUBLISHED PROJECT REPORT PPR850 Optimisation of water flow depth for SCRIM S Brittain, P Sanders and H Viner Report details Report prepared for: Project/customer reference: Copyright: Highways England,

More information

DISTRIBUTION: Electronic Recipients List TRANSMITTAL LETTER NO. (13-01) MINNESOTA DEPARTMENT OF TRANSPORTATION. MANUAL: Road Design English Manual

DISTRIBUTION: Electronic Recipients List TRANSMITTAL LETTER NO. (13-01) MINNESOTA DEPARTMENT OF TRANSPORTATION. MANUAL: Road Design English Manual DISTRIBUTION: Electronic Recipients List MINNESOTA DEPARTMENT OF TRANSPORTATION DEVELOPED BY: Design Standards Unit ISSUED BY: Office of Project Management and Technical Support TRANSMITTAL LETTER NO.

More information

sclerosis: a video clip demonstrati

sclerosis: a video clip demonstrati NAOSITE: Nagasaki University's Ac Title Author(s) Citation The patulous eustachian tube compli sclerosis: a video clip demonstrati Takasaki, Kenji; Kumagami, Hidetaka Takahashi, Haruo The Laryngoscope,

More information

Aalborg Universitet. Published in: Proceedings of Offshore Wind 2007 Conference & Exhibition. Publication date: 2007

Aalborg Universitet. Published in: Proceedings of Offshore Wind 2007 Conference & Exhibition. Publication date: 2007 Aalborg Universitet Design Loads on Platforms on Offshore wind Turbine Foundations with Respect to Vertical Wave Run-up Damsgaard, Mathilde L.; Gravesen, Helge; Andersen, Thomas Lykke Published in: Proceedings

More information

1. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?

1. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit? Chapter Problems Motion at Constant Speed Class Work. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?. During the first 50 s a truck traveled at constant speed of 5 m/s.

More information

ICHEME SYMPOSIUM SERIES NO. 144

ICHEME SYMPOSIUM SERIES NO. 144 EXPLOSION VENTING - THE PREDICTED EFFECTS OF INERTIA By Steve Cooper - Stuvex Safety Systems Limited Explosion venting is an established and well used method of primary explosion protection within industry.

More information

Equine Cannon Angle System

Equine Cannon Angle System Equine Cannon System How to interpret the results December 2010 Page 1 of 14 Table of Contents Introduction... 3 The Sagittal Plane... 4 The Coronal Plane... 5 Results Format... 6 How to Interpret the

More information

ROSE-HULMAN INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering. Mini-project 3 Tennis ball launcher

ROSE-HULMAN INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering. Mini-project 3 Tennis ball launcher Mini-project 3 Tennis ball launcher Mini-Project 3 requires you to use MATLAB to model the trajectory of a tennis ball being shot from a tennis ball launcher to a player. The tennis ball trajectory model

More information

New Theory on Facial Beauty: Ideal Dimensions in the Face And its application to your practice

New Theory on Facial Beauty: Ideal Dimensions in the Face And its application to your practice New Theory on Facial Beauty: Ideal Dimensions in the Face And its application to your practice By Dr. Philip Young Aesthetic Facial Plastic Surgery 2015 Bellevue, Washington American Brazilian Aesthetic

More information

Title: 4-Way-Stop Wait-Time Prediction Group members (1): David Held

Title: 4-Way-Stop Wait-Time Prediction Group members (1): David Held Title: 4-Way-Stop Wait-Time Prediction Group members (1): David Held As part of my research in Sebastian Thrun's autonomous driving team, my goal is to predict the wait-time for a car at a 4-way intersection.

More information

Vapor Pressure of Liquids

Vapor Pressure of Liquids Experiment 10 In this experiment, you will investigate the relationship between the vapor pressure of a liquid and its temperature. When a liquid is added to the Erlenmeyer flask shown in Figure 1, it

More information

Evaluation copy. Vapor Pressure of Liquids. computer OBJECTIVES MATERIALS

Evaluation copy. Vapor Pressure of Liquids. computer OBJECTIVES MATERIALS Vapor Pressure of Liquids Computer 10 In this experiment, you will investigate the relationship between the vapor pressure of a liquid and its temperature. When a liquid is added to the Erlenmeyer flask

More information

DOI /HORIZONS.B P23 UDC : (497.11) PEDESTRIAN CROSSING BEHAVIOUR AT UNSIGNALIZED CROSSINGS 1

DOI /HORIZONS.B P23 UDC : (497.11) PEDESTRIAN CROSSING BEHAVIOUR AT UNSIGNALIZED CROSSINGS 1 DOI 10.20544/HORIZONS.B.03.1.16.P23 UDC 656.142.054:159.922(497.11) PEDESTRIAN CROSSING BEHAVIOUR AT UNSIGNALIZED CROSSINGS 1 JelenaMitrovićSimić 1, Valentina Basarić, VukBogdanović Department of Traffic

More information

ISO INTERNATIONAL STANDARD

ISO INTERNATIONAL STANDARD INTERNATIONAL STANDARD ISO 1940-1 Second edition 2003-08-15 Mechanical vibration Balance quality requirements for rotors in a constant (rigid) state Part 1: Specification and verification of balance tolerances

More information

Gerald D. Anderson. Education Technical Specialist

Gerald D. Anderson. Education Technical Specialist Gerald D. Anderson Education Technical Specialist The factors which influence selection of equipment for a liquid level control loop interact significantly. Analyses of these factors and their interactions

More information

CENTER PIVOT EVALUATION AND DESIGN

CENTER PIVOT EVALUATION AND DESIGN CENTER PIVOT EVALUATION AND DESIGN Dale F. Heermann Agricultural Engineer USDA-ARS 2150 Centre Avenue, Building D, Suite 320 Fort Collins, CO 80526 Voice -970-492-7410 Fax - 970-492-7408 Email - dale.heermann@ars.usda.gov

More information

Earthquake Waves. Purpose: To give students a visual example, using a slinky, of how an energy wave propagates through the Earth.

Earthquake Waves. Purpose: To give students a visual example, using a slinky, of how an energy wave propagates through the Earth. Earthquake Waves Grades 4 & 5 Standards: Follows California Earth Science Standards for grades 4 & 5 Purpose: To give students a visual example, using a slinky, of how an energy wave propagates through

More information

Vapor Pressure of Liquids

Vapor Pressure of Liquids Vapor Pressure of Liquids In this experiment, you will investigate the relationship between the vapor pressure of a liquid and its temperature. When a liquid is added to the Erlenmeyer flask shown in Figure

More information

Name Class Date. What are some properties of gases? How do changes of pressure, temperature, or volume affect a gas?

Name Class Date. What are some properties of gases? How do changes of pressure, temperature, or volume affect a gas? CHAPTER 3 States of Matter 4 Behavior of Gases SECTION KEY IDEAS As you read this section, keep these questions in mind: What are some properties of gases? How do changes of pressure, temperature, or volume

More information

Citation Journal of Thermal Science, 18(4),

Citation Journal of Thermal Science, 18(4), NAOSITE: Nagasaki University's Ac Title Author(s) Noise characteristics of centrifuga diffuser (Noise reduction by means leading tip) Murakami, Tengen; Ishida, Masahiro; Citation Journal of Thermal Science,

More information

Additional Reading General, Organic and Biological Chemistry, by Timberlake, chapter 8.

Additional Reading General, Organic and Biological Chemistry, by Timberlake, chapter 8. Gas Laws EXPERIMENTAL TASK Determine the mathematical relationship between the volume of a gas sample and its absolute temperature, using experimental data; and to determine the mathematical relationship

More information

Development of virtual 3D human manikin with integrated breathing functionality

Development of virtual 3D human manikin with integrated breathing functionality SAT-9.2-2-HT-06 Development of virtual 3D human manikin with integrated breathing functionality Martin Ivanov Development of virtual 3D human manikin with integrated breathing functionality: The presented

More information

Tips for trainers. Participatory quota setting

Tips for trainers. Participatory quota setting Participatory quota setting The Tips for Trainers for this issue are taken from a publication called District Quota Setting Toolbox, part of the World Wide Fund for Nature (WWF) Wildlife Management Series.

More information

Calculation of Trail Usage from Counter Data

Calculation of Trail Usage from Counter Data 1. Introduction 1 Calculation of Trail Usage from Counter Data 1/17/17 Stephen Martin, Ph.D. Automatic counters are used on trails to measure how many people are using the trail. A fundamental question

More information

Traffic Accident Data Processing

Traffic Accident Data Processing Traffic Accident Data Processing D o n a l d F. P e t t y Engineer of Traffic Research and Surveys Indiana State Highway Commission The following is a portion of the Highway Safety Program Standards developed

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS LSN 11-7: WAVE MOTION LSN 11-8: TYPES OF WAVES; LONGITUDINAL AND TRANSVERSE LSN 11-9: ENERGY TRANSPORTED BY WAVES Physics of Waves Questions From Reading

More information

University of Colorado-Boulder MATH 1300 Homework 1

University of Colorado-Boulder MATH 1300 Homework 1 Turn in the following problems: 1. Consider the following mathematical statements. Determine if the statements are always true, sometimes true, or never true. (a) (x + 2) 4 = x 4 + 16 (b) x 4 + 8x 2 +

More information

from ocean to cloud HEAVY DUTY PLOUGH PERFORMANCE IN VERY SOFT COHESIVE SEDIMENTS

from ocean to cloud HEAVY DUTY PLOUGH PERFORMANCE IN VERY SOFT COHESIVE SEDIMENTS HEAVY DUTY PLOUGH PERFORMANCE IN VERY SOFT COHESIVE SEDIMENTS Geoff Holland, Sarah Dzinbal (Alcatel-Lucent Submarine Networks) Email: geoff.holland@alcatel-lucent.com Alcatel-Lucent Submarine Networks

More information

THE EFFECT OF BINDING POSITION ON KINETIC VARIABLES IN ALPINE SKIING

THE EFFECT OF BINDING POSITION ON KINETIC VARIABLES IN ALPINE SKIING THE EFFECT OF BINDING POSITION ON KINETIC VARIABLES IN ALPINE SKIING H. SCHWAMEDER 1, B. M. NIGG 2, V. v. TSCHARNER 2, D. STEFANYSHYN 2 1 Institute of Sports Sciences, University of Salzburg 2 Human Performance

More information

Gas Gathering System Modeling The Pipeline Pressure Loss Match

Gas Gathering System Modeling The Pipeline Pressure Loss Match PETROLEUM SOCIETY CANADIAN INSTITUTE OF MINING, METALLURGY & PETROLEUM PAPER 2005-230 Gas Gathering System Modeling The Pipeline Pressure Loss Match R.G. MCNEIL, P.ENG. Fekete Associates Inc. D.R. LILLICO,

More information

Lab 4: Root Locus Based Control Design

Lab 4: Root Locus Based Control Design Lab 4: Root Locus Based Control Design References: Franklin, Powell and Emami-Naeini. Feedback Control of Dynamic Systems, 3 rd ed. Addison-Wesley, Massachusetts: 1994. Ogata, Katsuhiko. Modern Control

More information

FUNCTIONAL SKILLS MATHEMATICS (level 1)

FUNCTIONAL SKILLS MATHEMATICS (level 1) FUNCTIONAL SKILLS MATHEMATICS (level 1) Detailed Marking Instructions Version: May 2011 Question Marking Scheme Illustrations of evidence No Give for each for awarding a mark 1 (a) Ans: 675 represent:

More information

The speed of an inline skater is usually described in meters per second. The speed of a car is usually described in kilometers per hour.

The speed of an inline skater is usually described in meters per second. The speed of a car is usually described in kilometers per hour. The speed of an inline skater is usually described in meters per second. The speed of a car is usually described in kilometers per hour. Speed How are instantaneous speed and average speed different? Average

More information

TEMPORAL ANALYSIS OF THE JAVELIN THROW

TEMPORAL ANALYSIS OF THE JAVELIN THROW TEMPORAL ANALYSIS OF THE JAVELIN THROW Derek M. Helenbergerl, Michael T. Sanders 2, and Lawrence D. Abraha~n',~ Biomedical Engineering, Intercollegiate Athletics for Men, Kinesiology & Health Education

More information

Available online at ScienceDirect. Procedia Engineering 112 (2015 ) 40 45

Available online at  ScienceDirect. Procedia Engineering 112 (2015 ) 40 45 Available online at www.sciencedirect.com ScienceDirect Procedia Engineering ( ) 7th Asia-Pacific Congress on Sports Technology, APCST 3-Dimensional joint torque calculation of compression sportswear using

More information

Transitional Steps Zone in Steeply Sloping Stepped Spillways

Transitional Steps Zone in Steeply Sloping Stepped Spillways Transitional Steps Zone in Steeply Sloping Stepped Spillways Jalal Attari 1 and Mohammad Sarfaraz 2 1- Assistant Professor, Power and Water University of Technology, Iran 2- Graduate Student, Department

More information

Wave phenomena in a ripple tank

Wave phenomena in a ripple tank Wave phenomena in a ripple tank LEP Related topics Generation of surface waves, propagation of surface waves, reflection of waves, refraction of waves, Doppler Effect. Principle Water waves are generated

More information

Multiple Representations of Buoyancy. Meredith Weglarz, Jessica Oliveira, James Vesenka University of New England, Department of Chemistry and Physics

Multiple Representations of Buoyancy. Meredith Weglarz, Jessica Oliveira, James Vesenka University of New England, Department of Chemistry and Physics Multiple Representations of Buoyancy Meredith Weglarz, Jessica Oliveira, James Vesenka University of New England, Department of Chemistry and Physics Abstract: A modeling lab exercise, based on multiple,

More information

Numerical Fluid Analysis of a Variable Geometry Compressor for Use in a Turbocharger

Numerical Fluid Analysis of a Variable Geometry Compressor for Use in a Turbocharger Special Issue Turbocharging Technologies 15 Research Report Numerical Fluid Analysis of a Variable Geometry Compressor for Use in a Turbocharger Yuji Iwakiri, Hiroshi Uchida Abstract A numerical fluid

More information

LEARNING OBJECTIVES. Overview of Lesson. guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work

LEARNING OBJECTIVES. Overview of Lesson. guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work D Rate, Lesson 1, Conversions (r. 2018) RATE Conversions Common Core Standard N.Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units

More information

Lab # 03: Visualization of Shock Waves by using Schlieren Technique

Lab # 03: Visualization of Shock Waves by using Schlieren Technique AerE545 Lab # 03: Visualization of Shock Waves by using Schlieren Technique Objectives: 1. To get hands-on experiences about Schlieren technique for flow visualization. 2. To learn how to do the optics

More information

SNAKY SPRING WAVE DEMONSTRATION ITEM # ENERGY - MOTION

SNAKY SPRING WAVE DEMONSTRATION ITEM # ENERGY - MOTION T E A C H E G U I R D S E SNAKY SPRING WAVE DEMONSTRATION ITEM # 3640-00 ENERGY - MOTION Waves are all around us. From sound waves, to electromagnetic waves, to seismic waves, we experience wave motion

More information

Exploring the Properties of Gases. Evaluation copy. 10 cm in diameter and 25 cm high)

Exploring the Properties of Gases. Evaluation copy. 10 cm in diameter and 25 cm high) Exploring the Properties of Gases Computer 30 The purpose of this investigation is to conduct a series of experiments, each of which illustrates a different gas law. You will be given a list of equipment

More information

BC Ministry of Forests. March Fish Stream Crossing Guidebook. Forest Practices Code of British Columbia.

BC Ministry of Forests. March Fish Stream Crossing Guidebook. Forest Practices Code of British Columbia. FRST 557 Lecture 7c Bridges and Culverts: Water Velocity and Discharge Lesson Background and Overview: The previous two lessons presented methods for estimating water volume flow at a particular site and

More information

The pth percentile of a distribution is the value with p percent of the observations less than it.

The pth percentile of a distribution is the value with p percent of the observations less than it. Describing Location in a Distribution (2.1) Measuring Position: Percentiles One way to describe the location of a value in a distribution is to tell what percent of observations are less than it. De#inition:

More information

Aerodynamic Analysis of a Symmetric Aerofoil

Aerodynamic Analysis of a Symmetric Aerofoil 214 IJEDR Volume 2, Issue 4 ISSN: 2321-9939 Aerodynamic Analysis of a Symmetric Aerofoil Narayan U Rathod Department of Mechanical Engineering, BMS college of Engineering, Bangalore, India Abstract - The

More information

Gas volume and pressure are indirectly proportional.

Gas volume and pressure are indirectly proportional. Section 2 The Gas Laws Key Terms Boyle s law Charles s law combined gas law absolute zero Gay-Lussac s law Scientists have been studying physical properties of gases for hundreds of years In 1662, Robert

More information

A SPEED-FLOW MODEL FOR AUSTRIAN -MOTORWAYS

A SPEED-FLOW MODEL FOR AUSTRIAN -MOTORWAYS A SPEED-FLOW MODEL FOR AUSTRIAN -MOTORWAYS Dr. Hassan Mahdy Public Works Dept., Faculty of Engineering Ain Shams University, Cairo, Egypt. E-mail: h98417@hotmail.com ABSTRACT Conventional speed-flow models

More information

Exponent's Fundamentally Flawed Research

Exponent's Fundamentally Flawed Research Exponent's Fundamentally Flawed Research By Mike Greenway July 19, 2015 A fundamental flaw in Exponent's experiments invalidates their conclusion that the Patriot's deflated footballs. Many of Exponent's

More information

You should know how to find the gradient of a straight line from a diagram or graph. This next section is just for revision.

You should know how to find the gradient of a straight line from a diagram or graph. This next section is just for revision. R1 INTERPRET THE GRADIENT OF A STRAIGHT LINE GRAPH AS A RATE OF CHANGE; RECOGNISE AND INTERPRET GRAPHS THAT ILLUSTRATE DIRECT AND INVERSE PROPORTION (foundation and higher tier) You should know how to

More information

COMPARISON OF PORTABLE EMERGENCY VENTILATORS USING A LUNG MODEL

COMPARISON OF PORTABLE EMERGENCY VENTILATORS USING A LUNG MODEL British Journal of Anaesthesia 1993; 70: 2-7 APPARATUS COMPARISON OF PORTABLE EMERGENCY VENTILATORS USING A LUNG MODEL L. ATTEBO, M. BENGTSSON AND A. JOHNSON SUMMARY A lung model was used to test the performance

More information

Department of the Navy. lnterim REPORT. November 1953

Department of the Navy. lnterim REPORT. November 1953 Department of the Navy Bureau of Yards and Docks. Contract NOy12561 ' lnterim REPORT November 1953 Hydrodynamics Laboratory Hydraulic Structures Division Californ:ia Institute of Technology Pasadena, California

More information

PRECISION ESTIMATES OF AASHTO T324, HAMBURG WHEEL-TRACK TESTING OFCOMPACTED HOT MIX ASPHALT (HMA) APPENDICES FOR FINAL REPORT

PRECISION ESTIMATES OF AASHTO T324, HAMBURG WHEEL-TRACK TESTING OFCOMPACTED HOT MIX ASPHALT (HMA) APPENDICES FOR FINAL REPORT Project No. 10-87-2B DRAFT 6/06/14 PRECISION ESTIMATES OF AASHTO T324, HAMBURG WHEEL-TRACK TESTING OFCOMPACTED HOT MIX ASPHALT (HMA) APPENDICES FOR FINAL REPORT Prepared for National Cooperative Highway

More information

CARBON DIOXIDE ELIMINATION FROM SEMICLOSED SYSTEMS

CARBON DIOXIDE ELIMINATION FROM SEMICLOSED SYSTEMS Brit. J. Anaesth. (1956), 28, 196 CARBON DIOXIDE ELIMINATION FROM SEMICLOSED SYSTEMS BY RUSSELL M. DAVIES, I. R. VERNER Queen Victoria Hospital, East Grinstead AND A. BRACKEN Research and Development Centre,

More information