SIMPLE LOW CONCENTRATING MODULE DESIGN INCRESES SOLAR CELL OUTPUT 25%

Size: px
Start display at page:

Download "SIMPLE LOW CONCENTRATING MODULE DESIGN INCRESES SOLAR CELL OUTPUT 25%"

Transcription

1 SIMPLE LOW CONCENTRATING MODULE DESIGN INCRESES SOLAR CELL OUTPUT 25% Daniel Simon 3D Solar, Inc N. Sheridan Rd. #1003 Chicago, IL ABSTRACT We present a simple low concentrating solar module design capable of boosting solar cell output by 25% (standard test conditions). The design has a theoretical concentration factor of ~1.4x and (unusually for CPV) does not require tracking, although the design benefits from tracking. Our design employs flat reflectors, depth of module, and simple geometric principles to boost output. Any solar cell technology can be used in the design. We present a simplified cost model useful for estimating the savings inherent in this design, which depends on relevant factors like the relative costs and efficiencies of the solar cells and reflectors used. We discuss test results from testing of the first generation prototype module. We also discuss design changes that were made in building a second generation prototype module, with the intention of improving the module's performance. Finally we discuss a closely related 2x concentrating module design which should boost cell output by 50% (2x design has not yet been built/tested). 1. INTRODUCTION Despite a variety of solar cell technologies--which produce solar modules with different cosmetic appearances--the vast majority of solar modules are constructed in the same 2-dimensional fashion. The solar cells are invariably wired together in rows and the rows are arranged in one plane, like tiles on the floor. The cells are covered by a sheet of glass for protection, and frequently laminated/encapsulated with EVA, or similar material to prevent water ingress. Many laminates, especially those constructed with silicon solar cells, are then framed with aluminu m extrusions to produce a finished module. We refer to this as a standard solar module, and historically over 85% of modules are constructed this way using silicon solar cells. In contrast 3D Sol ar Inc., has developed a (patent pending) solar module that uses flat reflectors and a simple 3D geometry that generates up to 25% more power per cell than the standard module produces. 2. 3D SOLAR MODULE GEOMETRY The basic 3D Solar module, sometimes called a V-module, is constructed with individual rows of solar cells (with the cells already strung together). Each row-of-cells is mounted in the module at a 45 degree angle to the cover, and is paired with a flat reflector placed opposite the row. Each row-of-cells and reflector forms a V-shape pair with a 90 degree angle between. The reflector also forms a 45 degree angle with respect to the module cover. Then the next row-of-cells is mounted at 45 degrees (parallel with the first) and paired with another reflector with the pattern repeated until the module is full. Viewed from the side, the cell, the reflector and the cover each form one side of a triangle. In this way each row-of-cells in the 3D Solar module is able to take advantage of the additional light reflected onto it by 1

2 the flat reflector. This additional light hitting each cell causes the cells to produce additional power. Assuming the sunlight falls normal to the cover of the 3D Solar module (see Fig. 1 below), the theoretical concentration factor is ~1.4 times. As shown, the cover is parallel with the hypotenuse of the triangle and admits the light which either falls directly onto the cells, or strikes the cells after a single reflection. A nice feature for PV is that the sunlight reaching the cells will be uniformly distributed. laminates were built using the same cells, stringing and laminating procedures, we felt this would allow an excellent side-by-side test of both module formats. The manufacturer used an older style half-cell in constructing the laminates (see Fig. 2 below). We used a low-iron glass typically used for solar applications because of the enhanced transmittance of sunlight for our module cover. We used plastic reflectors (reflectance ~88%) because the material was readily available, easy to work with and inexpensive in small quantities. Much higher quality reflectors (~94%) exist and are fairly easy to get, but not as easy to work with, and because of set-up & minimum lot charges these were not deemed affordable for the first prototype, we used a higher quality reflector in our second prototype. Using the plastic reflector reduced the maximum output by 6% (the reflector losses only effect the light that strikes it), whereas a 94% mirror would reduce maximum output by 3%. Stated another way, we could have squeezed up to 3% more power from the prototype simply by using a better reflector. Finally we found a local machine shop to bend/form a simple 5 sided aluminum box into which we mounted our laminates and reflectors (see Fig. 2 below). Fig. 1: Side view: cell, reflector and cover layout. A maximum theoretical power increase of ~40% can be achieved with this design. Real reflectors are not 100% reflective, and the glass cover cannot transmit all of the sunlight. These and other real world factors reduce the maximum per cell power increase. 3. 3D SOLAR MODULE PROTOTYPE 1.0 Fig. 2: Prototype with 4 laminates (right) and reflectors (left). After first proving to ourselves that the concept actually worked, by performing some simple backyard experimentation, we decided to build and test a prototype 3D Solar module. We found a custom solar panel manufacturer (in the US) willing to build a set of solar laminates that we could use to test the idea. This particular manufacturer had carved out a niche designing small portable modules for campers/hikers. In addition to the four, single row-of-cell laminates we used to make our prototype, we ordered a pair of single row-of-cell laminates arranged in the more standard 2D layout. Since all the The photo of the 3D Solar module can be a little difficult to interpret because you see both the cells and a reflection of the cells simultaneously. In Fig. 2 (see above) each of the laminated row-of-cells slants into the photo from right to left. But you also see a reflection of each laminate in the reflector (on the left), which slants into the photo from left to right. If you look along the bottom edge of the module you may be able to see the lines of the triangle shown in Fig. 1, except the right angle/corner opens out toward you, instead of up and to the left. 2

3 4. SIMPLIFIED COST MODEL The theoretical design savings one can expect from using the 3D Solar module depends primarily on the ratio of reflector cost to solar cell cost. We are engaging in a light arbitrage between the reflectors and cells, so this design only makes sense if reflectors are much cheaper than cells. The design uses ~2.5 units of reflector to replace 1 unit of cells. In practice a cell/reflector cost ratio of at least 6 (preferably 8 or 10) is helpful to ensure savings using the 3D Solar design. Each square foot of 3D Solar panel contains 0.7 sq. ft. of cells and 0.7 sq. ft. of reflectors. Each sq. ft. receives ~100W of incoming sunlight. TABLE 1: 3D SOLAR MODULE DESIGN SAVINGS 1 square meter = ~10 square feet = 1000 W of incoming sunlight Cell cost per W $ 0.50 Reflector cost/sq.ft. $ 1.00 Per square foot of roof Design # Watts Total cost cost/w Savings Perfect mirrors Standard: 15% efficient cells 15 $ 7.50 $ D panel: 15% efficient cells 15 $ 5.95 $ % ^cost/w includes cell and mirror cost only Key Assumption: 1) Solar panels cost $1/W; solar cells are 50% the cost of a panel 2) Perfect mirror=100% reflective; save 5% less if 90% reflective Table 1 (above) shows a 21% design savings for the V- panel defined as the cost of 0.7 sq. ft. of cells plus 0.7 sq. ft. of reflector and constructed with 15% efficient solar cells and using perfect mirrors vs. a standard module with 15% cells. Using a realistic/cheap 90% reflective mirror would decrease the design savings to ~16%. Design savings will increase ~0.5% for each 1% increase in cell efficiency (i.e. using 17% efficient cells would yield 22% design savings). The cell and reflector are not the only costs involved in building a 3D Solar module, but even a fraction of the design savings would represent a significant savings for module manufacturers. 5. RESULTS OF TESTING PROTOTYPE We selected TUV-PTL in Tempe, Arizona to perform a baseline comparative test of the 3D Solar module (containing 4 laminates) vs. a standard 2D module (containing 2 laminates). We decided on TUV-PTL because the (PTL) laboratory has a long history of testing solar modules in the US, and TUV has an excellent reputation in Europe the largest market for solar modules in recent years. Basically we had high confidence in their ability to test solar modules. TUV-PTL first performed a baseline STC (standard test conditions) test of both modules and found the 3D Solar module produced 25.4% more power per cell, than the 2D module. There were twice as many cells in the 3D Solar module so TUV-PTL actually measured ~2.51 times as much power from the prototype as from the 2D control module. Later TUV-PTL performed three additional side-by-side tests at different airmass values to check the performance of the modules with angle. Their results showed the 3D Solar module produced 30.5% (AM3) morning, 21.4% (AM1.5) before midday and 23.2% (AM3) afternoon more power per cell. They reported irradiance (and ambient temperature) values for all measurements broadly in line for both modules with one exception. The irradiance value for the second AM3 test of the 3D Solar module was recorded as being 100W/m^2 less than for the corresponding measurement on the 2D control panel, so the final number could understate the relative 3D Solar module performance. That said the irradiance value for both/all AM3 measurements was low (under 500W/m^2) AM3 indicates a sun fairly low in the sky! Rather than complain about one reading, we simply point out that adding up all four of the per cell power readings (25.4, 30.5, 21.4, & 23.2) and dividing by four yields an average of ~25% more power per cell. 6. DESIGN IMPROVEMENTS: PROTOTYPE 2.0 More extensive testing of the first prototype by TUV-PTL in the Arizona desert demonstrated a tendency of the 3D Solar module/laminates (inside an aluminum box with a glass cover) to reach a much higher temperature than the 2D module/laminates. This was such an obvious problem that we built the 5 sided box with a few holes in the sides in the hope that natural convection would prevent overheating. The extreme summertime desert conditions of Tempe, Arizona, led to excessive heat gain within the enclosed panel which negated the extra power produced when the testing protocol allowed for a temperature rise above STC. This extra heat is not helpful for straight PV applications, but could be acceptable in thermal or hybrid modules. We decided to build a second prototype module similar to the first, except we built it with an aluminum frame that left the backside completely open to the air. We expect that this open back prototype will operate at a lower temperature than the 3

4 fully enclosed one. For the second prototype we purchased 1 meter long laminates using (modern) 6 in. x 6 in. cells wired together from a Chinese supplier. We also used thin aluminum reflectors with about 94% reflectivity which should perform better than the plastic ones. We have also attempted to thermally connect the back of the laminates to the aluminum (extrusion) frame, so the frame will also act as a heat sink. Finally we built our prototype with a cover that could be opened. (See Figs. 3 and 4 below.) The idea is to build a module that can be serviced in the field (i.e. we designed the module so each laminate could be removed and replaced). This is not a standard feature of solar modules, but due to the specific 3D module geometry, and the fact that we use individual rows-of-cells, it seems like a simple modification that could make the 3D Solar module a more useful product. We also ordered an extra laminate so we can again test the prototype module and a 2D laminate side-by-side. We have sent the new and improved prototype 3D Solar module to a solar module testing laboratory for testing. We hope to get test data from this new prototype module soon. We think these pictures (see Fig. 3 and Fig. 4 above) of the second prototype capture the internal arrangement of cell (left) and reflector (right) within the panel, more clearly than Fig X CONCENTRATING DESIGN 3D Solar has begun developing a related solar module design capable of a theoretical 2-sun concentration factor. Just as the basic 3D Solar module replaces a standard 2D module with a series of single row-of-cell laminates and reflector pairs below the horizontal plane of the module, the iterated V replaces each laminate with a series of single cell and reflector pairings below the plane on the solar laminates. (See Fig. 5 below) This iterated design again uses only flat reflectors (but some are cell size and the others run the length of the module) in order to place more light on each cell and thereby boost the amount of power each cell produces. Based on the actual testing of the basic (1.4x) 3D Solar design, we expect this iterated design to produce ~50% more power per cell at STC. Fig. 3 Second prototype with open cover cells on the left. Fig. 5 Drawing of the iterated module cells are cross-hatched. Fig. 4 Close up of a cell and reflector pairing--cover down. The iterated module will require tracking in order to produce power consistently throughout the day. The basic 3D Solar module is able to self-track over 45 degrees of solar angle, so if one performs a fixed mount with the V-axis running E-W, the module will passively track the sun. Still there is some self- 4

5 shading from the module frame (as currently constructed) which could be eliminated by single axis tracking. Unfortunately the higher concentration of the iterated V design requires tracking for optimal performance all day or at some point the sun will wander off the solar cell no matter how you set it up. Alternately one could install the iterated module in a location where it will be in shade part of the day such as on the east (or west) side of a building just make sure during installation that the cells have an unobstructed view of the sun. 3D Solar has demonstrated a simple low-concentrating solar module prototype which is capable of producing 25% more power per cell under standard test conditions. We had our module tested by a respected module testing facility and have reported the results. We are working to improve upon these results by using a higher quality reflector and through design improvements, like using an open back design (with an extruded aluminum frame to address a thermal management issue) that bring the module more in line with typical module manufacturing practices. Finally we disclose a second relate module design with a higher concentration ratio, and we expect even greater power production per cell. 5

6 6

Glint and Glare Analysis

Glint and Glare Analysis Oasis C7 CPV Tracker Glint and Glare Analysis Abstract. Assessment of potential hazards from glint and glare from concentrated solar installations is an important requirement for public safety. This paper

More information

Solar Energy Cooking with the Sun

Solar Energy Cooking with the Sun Student Handout: Experiment - Where is the sun? Name: Date: Measuring the current Solar Azimuth and Solar Angle 1. Use the level to find a section of concrete that is relatively level. Your instructor

More information

Shining Light on an Issue with Solar Energy 2. Shining Light on an Issue with Solar Energy

Shining Light on an Issue with Solar Energy 2. Shining Light on an Issue with Solar Energy Shining Light on an Issue with Solar Energy 2 Shining Light on an Issue with Solar Energy Imagine a world where charging your home was as simple as placing your phone under the sunlight or parking your

More information

BRE Client Report. Calculation of summertime solar shading performance for MicroLouvre. Prepared for: Smartlouvre. BRE Watford, Herts WD25 9XX

BRE Client Report. Calculation of summertime solar shading performance for MicroLouvre. Prepared for: Smartlouvre. BRE Watford, Herts WD25 9XX BRE Client Report Calculation of summertime solar shading performance for MicroLouvre Prepared for: Smartlouvre Date: 21 December 2017 Report Number: P111107-1000 Issue: 2 BRE Watford, Herts WD25 9XX Customer

More information

Gay E. Canough Solar Math. PV Installer s Class: Units and Math

Gay E. Canough Solar Math. PV Installer s Class: Units and Math Gay E. Canough 1.1--Solar Math October 2012 PV Installer s Class: Units and Math 1 Units Electricity Fluid KW, a unit of power Horsepower, a unit of power KWh, a unit of energy BTU, a unit of energy Voltage

More information

Galileo Telescope Solar Viewer Joseph Hora, Elizabeth Hora 2017/09/18

Galileo Telescope Solar Viewer Joseph Hora, Elizabeth Hora 2017/09/18 Galileo Telescope Solar Viewer Joseph Hora, Elizabeth Hora 2017/09/18 17 7.75 5 2 1.5 3 2 1.5 Materials: (all dimensions in inches) 3x plywood sheet 17 x 7.75 x ½ 3x wood block cut from 2x4: 5 x 2 x 1.5

More information

Kitt Peak Nightly Observing Program

Kitt Peak Nightly Observing Program Kitt Peak Nightly Observing Program Splendors of the Universe on YOUR Night! Many pictures are links to larger versions. Click here for the Best images of the OTOP Gallery and more information. Clouds

More information

CHAPTER 3 PROBLEM DEFINITION AND OBJECTIVE

CHAPTER 3 PROBLEM DEFINITION AND OBJECTIVE 49 CHAPTER 3 PROBLEM DEFINITION AND OBJECTIVE 3.1 MOTIVATION Concentrating solar power is a principle of increasing solar power density. It can be demonstrated to set a piece of paper on fire by using

More information

SOLAR WATER HEATER WITH TRACKING SYSTEM

SOLAR WATER HEATER WITH TRACKING SYSTEM SOLAR WATER HEATER WITH TRACKING SYSTEM Jyoti Verma 1, Shweta Tyagi 2, R. B. Dubey 3 1,2,3 Department of Electronics and Communication Engineering Hindu College of Engineering, Sonepat, Haryana, (India)

More information

GAUSS LAW Ken Cheney ABSTRACT GENERAL EXPERIMENTS THEORY INTENSITY FLUX

GAUSS LAW Ken Cheney ABSTRACT GENERAL EXPERIMENTS THEORY INTENSITY FLUX GAUSS LAW Ken Cheney ABSTRACT Gauss Law that "what goes in comes out" is checked for a number of sources of energy and flux including light, sound, nuclear radiation, and microwaves. The source geometries

More information

Heat Transfer. Energy from the Sun. Introduction

Heat Transfer. Energy from the Sun. Introduction Heat Transfer Energy from the Sun Introduction The sun rises in the east and sets in the west, but its exact path changes over the course of the year, which causes the seasons. In order to use the sun

More information

Predicting Natural Light in Atria and Adjacent Spaces using Physical Models

Predicting Natural Light in Atria and Adjacent Spaces using Physical Models Predicting Natural Light in Atria and Adjacent Spaces using Physical Models Ibrahim Al-Turki P.O.Box 59035, Riyadh 11525 Saudi Arabia and Marc Schiler, Assoc. Prof. School of Architecture University of

More information

Pre-Algebra Homework 10 Geometry: Solutions

Pre-Algebra Homework 10 Geometry: Solutions Pre-Algebra Homework 10 Geometry: Solutions Use π = 3 for your calculations 1. I am building a ramp. The length of the ramp along the ground is 12 meters and it s 5 meters high and 5 meters wide. I want

More information

HEAT LOSS CHARACTERISTICS OF A ROOF INTEGRATED SOLAR MICRO-CONCENTRATING COLLECTOR

HEAT LOSS CHARACTERISTICS OF A ROOF INTEGRATED SOLAR MICRO-CONCENTRATING COLLECTOR 5 th International Conference on Energy Sustainability ASME August 7-10, 2011, Grand Hyatt Washington, Washington DC, USA ESFuelCell2011-54254 HEAT LOSS CHARACTERISTICS OF A ROOF INTEGRATED SOLAR MICRO-CONCENTRATING

More information

Exercise 6. Solar Panel Orientation EXERCISE OBJECTIVE DISCUSSION OUTLINE. Introduction to the importance of solar panel orientation DISCUSSION

Exercise 6. Solar Panel Orientation EXERCISE OBJECTIVE DISCUSSION OUTLINE. Introduction to the importance of solar panel orientation DISCUSSION Exercise 6 Solar Panel Orientation EXERCISE OBJECTIVE When you have completed this exercise, you will understand how the solar illumination at any location on Earth varies over the course of a year. You

More information

CCMR Educational Programs

CCMR Educational Programs CCMR Educational Programs Title: Date Created: August 10, 2006 Latest Revision: August 10, 2006 Author(s): Myriam Ibarra Appropriate Level: Grades 8-10 Abstract: Energy and the Angle of Insolation Sun

More information

UNIT FOUR SOLAR COLLECTORS

UNIT FOUR SOLAR COLLECTORS ME 476 Solar Energy UNIT FOUR SOLAR COLLECTORS Flat Plate Collectors Outline 2 What are flat plate collectors? Types of flat plate collectors Applications of flat plate collectors Materials of construction

More information

Literature Review: 1.

Literature Review: 1. Literature Review: 1. The Solar Tracker, a device that keeps photovoltaic or photo-thermal panels in an optimum position perpendicularly to the solar radiation during daylight hours, can increase the collected

More information

Tuesday, December 11th. To be handed in both as a hard copy (in my mailbox in LGRT 1127A) and on SPARK (as a turnitin assignment).

Tuesday, December 11th. To be handed in both as a hard copy (in my mailbox in LGRT 1127A) and on SPARK (as a turnitin assignment). Tuesday, December 11th. Announcements. Homework 10 (paper/project topics, etc.) due on Thursday (last class). Final papers/projects will be due by 5PM on Friday, December 21st. To be handed in both as

More information

Engineering Notebook

Engineering Notebook Draft 12/2013 Engineering Notebook Here Comes the Sun: Engineering Insulated Homes Name: Prep Activity 1 Criteria and Constraints Woolly Mammoth Melt Your goal: to design an insulated transportation tank

More information

Simplified Collector Performance Model

Simplified Collector Performance Model Simplified Collector Performance Model Prediction of the thermal output of various solar collectors: The quantity of thermal energy produced by any solar collector can be described by the energy balance

More information

Here Comes the Sun: Engineering Insulated Homes. Name:

Here Comes the Sun: Engineering Insulated Homes. Name: Engineering Notebook Here Comes the Sun: Engineering Insulated Homes Name: Prep Activity 1 Criteria and Constraints Woolly Mammoth Melt Your goal is to design an insulated transportation tank that will

More information

Thermal modelling of low concentrator photovoltaic systems

Thermal modelling of low concentrator photovoltaic systems Thermal modelling of low concentrator photovoltaic systems JD Gerber MA Benecke FJ Vorster EE van Dyk Nelson Mandela Metropolitan University, Port Elizabeth Abstract Efficient thermal management of low

More information

Project 2. Introduction: 10/23/2016. Josh Rodriguez and Becca Behrens

Project 2. Introduction: 10/23/2016. Josh Rodriguez and Becca Behrens Project 2 Josh Rodriguez and Becca Behrens Introduction: Section I of the site Dry, hot Arizona climate Linen supply and cleaning facility Occupied 4am-10pm with two shifts of employees PHOENIX, ARIZONA

More information

Temperature Changes OBJECTIVES PREPARATION SCHEDULE MATERIALS. The students. For each student. For each team of two. For the class

Temperature Changes OBJECTIVES PREPARATION SCHEDULE MATERIALS. The students. For each student. For each team of two. For the class activity 3 Temperature Changes OBJECTIVES Students observe changes in air temperature and discover the role of the Sun in heating Earth. The students measure and record outdoor air temperature at three

More information

Fundamental Limitations of Solar Cells

Fundamental Limitations of Solar Cells 2018 Lecture 2 Fundamental Limitations of Solar Cells Dr Kieran Cheetham MPhys (hons) CPhys MInstP MIET L3 Key Question Why can't a solar cell have a 100% efficiency? (Or even close to 100%?) Can you answer

More information

38 B Our Environment. Ederlinda Viñuales Gavín Marco Nicolini. Sun Exposition &

38 B Our Environment. Ederlinda Viñuales Gavín Marco Nicolini. Sun Exposition & 38 B Our Environment Ederlinda Viñuales Gavín Marco Nicolini B Sun Exposition & Home Price Our Environment Length of the BDay39 introduction Why do apartments in the same building have different prices?

More information

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem and Its Converse The Pythagorean Theorem and Its Converse Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive

More information

Divisibility Rules Algebra 9.0

Divisibility Rules Algebra 9.0 Name Period Divisibility Rules Algebra 9.0 A Prime Number is a whole number whose only factors are 1 and itself. To find all of the prime numbers between 1 and 100, complete the following eercise: 1. Cross

More information

THE PATH OF THE SUN. Page 1 of 6

THE PATH OF THE SUN. Page 1 of 6 THE PATH OF THE SUN Goal(s): To observe the path of the sun across the sky and how this varies according to the time of day or the season. Ultimately, this will help the pupils to learn about solar energy.

More information

221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM

221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked

More information

*************************************************************** What profit hath a man of all his labour which he taketh under the sun?

*************************************************************** What profit hath a man of all his labour which he taketh under the sun? The Hardware Store Solar Tracker ********************************************************* Disclaimer: This document is for informational purposes only. The author assumes no responsibility or liability

More information

Resistance : R = ρ( ) units are Ohms ( 14 ) Resistor 100 ohms

Resistance : R = ρ( ) units are Ohms ( 14 ) Resistor 100 ohms Resistance : If we look a little more closely into how charge flows in a conductor, we see that the electron is essentially free to move about the metal conductor material. The electron roams about the

More information

Lab I. 2D Motion. 1 Introduction. 2 Theory. 2.1 scalars and vectors LAB I. 2D MOTION 15

Lab I. 2D Motion. 1 Introduction. 2 Theory. 2.1 scalars and vectors LAB I. 2D MOTION 15 LAB I. 2D MOTION 15 Lab I 2D Motion 1 Introduction In this lab we will examine simple two-dimensional motion without acceleration. Motion in two dimensions can often be broken up into two separate one-dimensional

More information

Motion of the Sun. View Comments

Motion of the Sun. View Comments Login 2017 Survey to Improve Photovoltaic Education Christiana Honsberg and Stuart Bowden View Comments Instructions 1. Introduction 2. Properties of Sunlight 2.1. Basics of Light Properties of Light Energy

More information

But DO use this to check on whether you are doing things correctly. Not all the items are shown here, only the ones that seem to be the hardest.

But DO use this to check on whether you are doing things correctly. Not all the items are shown here, only the ones that seem to be the hardest. Math and Measurement Help The following are worked examples of items LIKE those in Lab 1, Math and Measurement. The answers are not correct ones for the lab. So don t turn them in. But DO use this to check

More information

SIZZLING SHOWCASE: TEMPERATURE STUDY OF THE ADELL McMILLAN GALLERY AT THE UNIVERSITY OF OREGON ERB MEMORIAL UNION

SIZZLING SHOWCASE: TEMPERATURE STUDY OF THE ADELL McMILLAN GALLERY AT THE UNIVERSITY OF OREGON ERB MEMORIAL UNION SIZZLING SHOWCASE: TEMPERATURE STUDY OF THE ADELL McMILLAN GALLERY AT THE UNIVERSITY OF OREGON ERB MEMORIAL UNION Tim Allred University of Oregon Department of Architecture Eugene, OR 97403 tallred@gladstone.uoregon.edu

More information

Conductor sizing is a critical step

Conductor sizing is a critical step Quality Assurance Code-Compliant Conductor Sizing Conductor sizing is a critical step in PV system design. You must be sure you satisfy the NEC requirements both for the conductor s ability to carry the

More information

Energy Efficiency, Acoustics & Daylighting in building Prof. B. Bhattacharjee Department of Civil Engineering Indian Institute of Technology, Delhi

Energy Efficiency, Acoustics & Daylighting in building Prof. B. Bhattacharjee Department of Civil Engineering Indian Institute of Technology, Delhi Energy Efficiency, Acoustics & Daylighting in building Prof. B. Bhattacharjee Department of Civil Engineering Indian Institute of Technology, Delhi Lecture 50 Daylighting (contd.) So, we will look into

More information

NABCEP Entry Level Exam Review Solfest practice test by Sean White

NABCEP Entry Level Exam Review Solfest practice test by Sean White 1. A fall protection system must be in place for all work done at heights in excess of a. 4 feet b. 6 feet c. 8 feet d. 10 feet 2. A circuit breaker performs the same function a. as a fuse b. as a switch

More information

PoS(ICRC2015)635. The NICHE Array: Status and Plans. Douglas R Bergman

PoS(ICRC2015)635. The NICHE Array: Status and Plans. Douglas R Bergman The NICHE Array: Status and Plans The University of Utah E-mail: bergman@physics.utah.edu John F Krizmanic Universities Space Research Association E-mail: jkrizmanic@usra.edu Yoshiki Tsunesada Tokyo Institute

More information

Sugar content. Ratings. Rich Taste Smooth Texture Distinct flavor Sweet taste

Sugar content. Ratings. Rich Taste Smooth Texture Distinct flavor Sweet taste Course title : Operations and Service Management Semester : Fall 2011 MBA Term 4 Assignment : One Due Date : Friday, September 23, 2011 Total Marks : 5+5+18+7+10+5 = 55 1. You wish to compete in the super

More information

Patterns of Change on Earth

Patterns of Change on Earth TEKS collect and analyze data to identify sequences and predict patterns of change in shadows, tides, seasons, and the observable appearance of the Moon over time Patterns of Change on Earth Patterns and

More information

AREA Judo Math Inc.

AREA Judo Math Inc. AREA 2013 Judo Math Inc. 7 th grade Geometry Discipline: Blue Belt Training Order of Mastery: Area 1. Square units/area overview 2. Circle Vocab (7G4) 3. What is Pi? (7G4) 4. Circumference of a circle

More information

GAP CLOSING. Algebraic Expressions. Intermediate / Senior Facilitator s Guide

GAP CLOSING. Algebraic Expressions. Intermediate / Senior Facilitator s Guide GAP CLOSING Algebraic Expressions Intermediate / Senior Facilitator s Guide Topic 6 Algebraic Expressions Diagnostic...5 Administer the diagnostic...5 Using diagnostic results to personalize interventions...5

More information

Orbital Paths. the Solar System

Orbital Paths. the Solar System Purpose To compare the lengths of the terrestrial planets orbital paths and revolution times. Process Skills Measure, form a hypothesis, predict, observe, collect data, interpret data, communicate, draw

More information

Measurement of Temperature in the Plastics Industry

Measurement of Temperature in the Plastics Industry Sawi Mess- und Regeltechnik AG CH 8405 Winterthur-Gotzenwil, Switzerland Telephone +41 52 320 50 50, Fax +41 52 320 50 55 www.sawi.ch Measurement of Temperature in the Plastics Industry Johannes Wild,

More information

PHOTOVOLTAIC SOLAR ENERGY TRAINER DL SOLAR-D1 Manual

PHOTOVOLTAIC SOLAR ENERGY TRAINER DL SOLAR-D1 Manual PHOTOVOLTAIC SOLAR ENERGY TRAINER DL SOLAR-D1 Manual DL SOLAR-D1 Contents 1. Solar energy: our commitment 5 to the environment 1.1. Basic principles and concepts 6 Mechanical work, energy and power: 6

More information

A reproduction of a compass from Photo by: Virginia State Parks staff/wikimedia Photo by: Virginia State Parks staff/ Wikimedia.

A reproduction of a compass from Photo by: Virginia State Parks staff/wikimedia Photo by: Virginia State Parks staff/ Wikimedia. What is a compass? By National Geographic, adapted by Newsela staff on 09.26.17 Word Count 838 Level 810L A reproduction of a compass from 1607. Photo by: Virginia State Parks staff/wikimedia Photo by:

More information

Chapter 22: Uses of Solar Energy

Chapter 22: Uses of Solar Energy Chapter 22: Uses of Solar Energy Goals of Period 22 Section 22.1: To describe three forms of energy derived from solar energy water power, wind power, and biomass Section 22.2: To illustrate some uses

More information

Solar radiation and architectural design in Barcelona

Solar radiation and architectural design in Barcelona Solar radiation and architectural design in Barcelona Reconciling protection in summer and gain in winter Alexis AGUILAR 1 Carlos ALONSO 1 Helena COCH 1 Rafael SERRA 1 1 ABSTRACT: The principles of the

More information

The Improvement of the Cost-Effectiveness of Solar Power by Low Concentration Photovoltaics

The Improvement of the Cost-Effectiveness of Solar Power by Low Concentration Photovoltaics The Improvement of the Cost-Effectiveness of Solar Power by Low Concentration Photovoltaics Carlo Vaccari August 2010 Harvey Mudd College Center for Environmental Studies Richard Haskell, Director The

More information

Getting to the Core. A9 Functions Unit of Study. Algebra II. Updated on May 3, Student Name Period

Getting to the Core. A9 Functions Unit of Study. Algebra II. Updated on May 3, Student Name Period Getting to the Core Algebra II A9 Functions Unit of Study Updated on May 3, 03 Student Name Period This page was intentionally left blank. Unit A9 Functions Table of Contents Lessons Description Page Title

More information

Lab I. 2D Motion. 1 Introduction. 2 Theory. 2.1 scalars and vectors LAB I. 2D MOTION 15

Lab I. 2D Motion. 1 Introduction. 2 Theory. 2.1 scalars and vectors LAB I. 2D MOTION 15 LAB I. 2D MOTION 15 Lab I 2D Motion 1 Introduction In this lab we will examine simple two-dimensional motion without acceleration. Motion in two dimensions can often be broken up into two separate one-dimensional

More information

Determination of installed thermal resistance into a roof of TRISO-SUPER 12 BOOST R

Determination of installed thermal resistance into a roof of TRISO-SUPER 12 BOOST R INSTITUTE OF ARCHITECTURE AND CONSTRUCTION OF KAUNAS UNIVERSITY OF TECHNOLOGY LABORATORY OF BUILDING PHYSICS Notified Body number: 2018 TEST REPORT No. 037-10/11(C) SF/15 Date: 26 of November 2015 page

More information

MEA 502 Work Sheet Period Name. CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 402 Use geometric formulas when all necessary

MEA 502 Work Sheet Period Name. CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 402 Use geometric formulas when all necessary MEA 502 Work Sheet Period Name CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 402 Use geometric formulas when all necessary attain mastery at this level information is given MEA 502 Level 2

More information

Name Period Date. GEO2.2: Area of Circles Derive the area formula for circles. Solve application problems that involve areas of circles.

Name Period Date. GEO2.2: Area of Circles Derive the area formula for circles. Solve application problems that involve areas of circles. Name Period Date GEOMETRY AND MEASUREMENT Student Pages for Packet 2: Circles GEO2.1 Circumference Use multiple representations to explore the relationship between the diameter and the circumference of

More information

Sun, Moon, and Stars. The Stars

Sun, Moon, and Stars. The Stars The Sun The Moon Sun, Moon, and Stars The Stars VOCABULARY *The sun is the star that rises in the morning, crosses the sky, and sets at night. *The cardinal directions are the four main points on a compass:

More information

FLATE Hillsborough Community College - Brandon (813)

FLATE Hillsborough Community College - Brandon (813) The Florida Advanced Technological Education (FLATE) Center wishes to make available, for educational and noncommercial purposes only, materials relevant to the EST1830 Introduction to Alternative/Renewable

More information

1 / 17. TÜV Rheinland (Shanghai) Co., Ltd Solar/ Fuelcell Technologies. Test Report

1 / 17. TÜV Rheinland (Shanghai) Co., Ltd Solar/ Fuelcell Technologies. Test Report 1 / 17 TÜV Rheinland (Shanghai) Co., Ltd Solar/ Fuelcell Technologies Test Report Qualification of a Solar Collector in accordance with DIN EN 12975-1: 2011; DIN EN 12975-2: 2006 TÜV Report No.: 154026306_EN_P_10_Report_Gao

More information

Forces and Newton s Laws Notes

Forces and Newton s Laws Notes Forces and Newton s Laws Notes Force An action exerted on an object which can change the motion of the object. The SI unit for force is the Newton (N) o N = (kg m)/s 2 o Pound is also a measure of force

More information

Indoor Testing of Solar Systems: A Solar Simulator for Multidisciplinary Research on Solar Technologies

Indoor Testing of Solar Systems: A Solar Simulator for Multidisciplinary Research on Solar Technologies A publication of VOL. 39, 2014 CHEMICAL ENGINEERING TRANSACTIONS Guest Editors: Petar Sabev Varbanov, Jiří Jaromír Klemeš, Peng Yen Liew, Jun Yow Yong Copyright 2014, AIDIC Servizi S.r.l., ISBN 978-88-95608-30-3;

More information

EZ PUSH-TO MANUAL EZ PUSH TO MANUAL. romer-optics.com.

EZ PUSH-TO MANUAL EZ PUSH TO MANUAL. romer-optics.com. EZ PUSH-TO MANUAL EZ PUSH TO MANUAL romer-optics.com www.romer-optics.com 1 Living Apart, Sharing the Sky 2 CONTENTS 1. EZ PUSH TO Introduction and Specification 4 2. Hardware and Software Installation

More information

ET3034TUx PV Modules 1 - Module parameters, orientation and tilt

ET3034TUx PV Modules 1 - Module parameters, orientation and tilt ET3034TUx - 7.2.1 - PV Modules 1 - Module parameters, orientation and tilt Welcome back. In this block, we shall focus on the central character of the PV system - the PV modules. Before I start, I want

More information

Unit 3, Lesson 1: How Well Can You Measure?

Unit 3, Lesson 1: How Well Can You Measure? Unit 3, Lesson 1: How Well Can You Measure? Let s see how accurately we can measure. 1.1: Estimating a Percentage A student got 16 out of 21 questions correct on a quiz. Use mental estimation to answer

More information

PHOS 15 LED PROJECTOR

PHOS 15 LED PROJECTOR PHOS 15 LED PROJECTOR SPECIFICATIONS Item:.. PHOS 15 Body:.... Aluminium Available Colours:... White / Black / Silver Weight:.... 1.9 kg On / Off Switch:..... Not Available Environmental Conditions:.....

More information

SOLAR GEOMETRY (AND RADIATION)

SOLAR GEOMETRY (AND RADIATION) SOLAR GEOMETRY (AND RADIATION) Ball State Architecture ENVIRONMENTAL SYSTEMS 1 Grondzik 1 Solar Radiation Components glass will reflect some incoming radiation; absorb some; and transmit some SHGF (above)

More information

NFRC SOLAR HEAT GAIN COEFFICIENT TEST REPORT. Rendered to: CLEAR FOCUS IMAGING

NFRC SOLAR HEAT GAIN COEFFICIENT TEST REPORT. Rendered to: CLEAR FOCUS IMAGING NFRC 201-2004 SOLAR HEAT GAIN COEFFICIENT TEST REPORT Rendered to: CLEAR FOCUS IMAGING SERIES/MODEL: SunSecure BASE WINDOW: 3/16" Clear Single Glazed PRODUCT TYPE: Window Film on the Interior of Clear

More information

Answer Explanations for: ACT June 2012, Form 70C

Answer Explanations for: ACT June 2012, Form 70C Answer Explanations for: ACT June 2012, Form 70C Mathematics 1) C) A mean is a regular average and can be found using the following formula: (average of set) = (sum of items in set)/(number of items in

More information

OF THE IMPACT OF PARTIAL SHADING ON THE PERFORMANCE OF A GRID-TIED PHOTOVOLTAIC SYSTEM

OF THE IMPACT OF PARTIAL SHADING ON THE PERFORMANCE OF A GRID-TIED PHOTOVOLTAIC SYSTEM OF THE IMPACT OF PARTIAL SHADING ON THE PERFORMANCE OF A GRID-TIED PHOTOVOLTAIC SYSTEM K. Hurayb, Y. Moumouni, F. A. da Silva,Y. Baghzouz Electrical & Computer Engineering Department University of Nevada,

More information

5.5 Special Rights. A Solidify Understanding Task

5.5 Special Rights. A Solidify Understanding Task SECONDARY MATH III // MODULE 5 MODELING WITH GEOMETRY 5.5 In previous courses you have studied the Pythagorean theorem and right triangle trigonometry. Both of these mathematical tools are useful when

More information

LUNAR MICRO ROVER SOLAR SHROUD. Daniel Hong Department of Mechanical Engineering University of Hawai`i at Mānoa Honolulu, HI ABSTRACT

LUNAR MICRO ROVER SOLAR SHROUD. Daniel Hong Department of Mechanical Engineering University of Hawai`i at Mānoa Honolulu, HI ABSTRACT LUNAR MICRO ROVER SOLAR SHROUD Daniel Hong Department of Mechanical Engineering University of Hawai`i at Mānoa Honolulu, HI 96822 ABSTRACT The objectives of my internship at NASA Ames Research Center were

More information

Grade 7, Unit 2 Practice Problems - Open Up Resources. Lesson 1. Problem 1. Problem 2. Yes, since 3 times 1.5 is 4 and 2 times 1.5 is 3.

Grade 7, Unit 2 Practice Problems - Open Up Resources. Lesson 1. Problem 1. Problem 2. Yes, since 3 times 1.5 is 4 and 2 times 1.5 is 3. 9//7, 0) AM Lesson Problem Which one of these shapes is not like the others? Explain what makes it different by representing each width and height pair with a ratio. C is different from A and B. For both

More information

PV 2012/2013. Radiation from the Sun Atmospheric effects Insolation maps Tracking the Sun PV in urban environment

PV 2012/2013. Radiation from the Sun Atmospheric effects Insolation maps Tracking the Sun PV in urban environment SOLAR RESOURCE Radiation from the Sun Atmospheric effects Insolation maps Tracking the Sun PV in urban environment 1 is immense Human energy use: 4.0x10 14 kwh/year on Earth s surface: 5.5x10 17 kwh/year

More information

PRISMATIC COVERS FOR BOOSTING THE EFFICIENCY OF HIGH-CONCENTRATION PV SYSTEMS

PRISMATIC COVERS FOR BOOSTING THE EFFICIENCY OF HIGH-CONCENTRATION PV SYSTEMS PRISMATIC COVERS FOR BOOSTING THE EFFICIENCY OF HIGH-CONCENTRATION PV SYSTEMS Andreea Boca, Kenneth M. Edmondson, and Richard R. King Spectrolab, Inc., 12500 Gladstone Ave., Sylmar, CA 91342 U.S.A. ABSTRACT

More information

Model 3024 Albedometer. User s Manual 1165 NATIONAL DRIVE SACRAMENTO, CALIFORNIA WWW. ALLWEATHERINC. COM

Model 3024 Albedometer. User s Manual 1165 NATIONAL DRIVE SACRAMENTO, CALIFORNIA WWW. ALLWEATHERINC. COM Model 3024 Albedometer User s Manual 1165 NATIONAL DRIVE SACRAMENTO, CALIFORNIA 95834 WWW. ALLWEATHERINC. COM TABLE OF CONTENTS INTRODUCTION... 1 THEORY OF OPERATION... 2 General Description... 2 Accuracy...

More information

φ φ0.2 Bare copper wire 2352 Walsh Ave., Santa Clara, CA 95051, U. S. A. Tel.: (408) , Fax: (408)

φ φ0.2 Bare copper wire 2352 Walsh Ave., Santa Clara, CA 95051, U. S. A. Tel.: (408) , Fax: (408) Figure 1. Physical Photo of Figure 2. Physical Photo of T70 MAIN FEATURES Glass Encapsulated for Long Term Stability & Reliability High Resistance Accuracy: 0.1% Temperature error: ±0.2 C Maximum Temp.

More information

E N L I G H T E N E D L I V I N G

E N L I G H T E N E D L I V I N G E N L I G H T E N E D L I V I N G 08 63 00/WAS BuyLine 0586 W W W. W A S C O P R O D U C T S. C O M U N I T S K Y L I G H T S U N I T S K Y L I G H T S W I T H N A N O G E L U P TO 6 x T H E T H E R M

More information

Δ q = ( ψ L) HDH (1) here, Δq is the additional heat transfer caused by the thermal bridge, Ψ and L are the linear thermal transmittance and length of

Δ q = ( ψ L) HDH (1) here, Δq is the additional heat transfer caused by the thermal bridge, Ψ and L are the linear thermal transmittance and length of Balconies in Shanghai, thermal bridges or sun shadings? Ye Yang * School of Planning Building Environment, Berlin Institute of Technology, Berlin, Germany ABSTRACT In the Cfa climate area, such as the

More information

COMBINED MEASUREMENT OF THERMAL AND OPTICAL PROPERTIES OF RECEIVERS FOR PARABOLIC TROUGH COLLECTORS

COMBINED MEASUREMENT OF THERMAL AND OPTICAL PROPERTIES OF RECEIVERS FOR PARABOLIC TROUGH COLLECTORS COMBINED MEASUREMENT OF THERMAL AND OPTICAL PROPERTIES OF RECEIVERS FOR PARABOLIC TROUGH COLLECTORS Johannes Pernpeintner 1, Björn Schiricke 2, Eckhard Lüpfert 2, Niels Lichtenthäler 2, Ansgar Macke 2

More information

Clausing Industrial, Inc. Variable Speed 20" Single and Multi-spindle, Belt Drive Industrial Drill Presses

Clausing Industrial, Inc. Variable Speed 20 Single and Multi-spindle, Belt Drive Industrial Drill Presses www.clausing-industrial.com Variable Speed 20" Single and Multi-spindle, Belt Drive Industrial Drill Presses Clausing Industrial, Inc. Two Speed Variable Speeds 150-2000rpm Variable Speeds 200-1300rpm

More information

#PS-06 3-D Constellation Kit Teacher's Notes and Activities

#PS-06 3-D Constellation Kit Teacher's Notes and Activities Science Teaching through its Astronomical Roots #PS-06 3-D Constellation Kit Teacher's Notes and Activities Abstracted from the Project STAR activity book, Where We are in Space and Time. Project STAR

More information

University of Maryland Department of Physics

University of Maryland Department of Physics Spring 2002 University of Maryland Department of Physics Laura Lising Physics 122 April 24, 2003 Exam #2 Solutions Multiple choice questions. Just the answer counts for these. (8 points each) 1) Suppose

More information

Magnetism and Electricity

Magnetism and Electricity Magnetism and Electricity UNIT 7 Student Reader E3 Student Reader v. 9 Unit 7 Page 1 2016 KnowAtom TM Front Cover: The front cover shows a photograph of a girl with her hair standing straight up. This

More information

Here Comes the Sun. Rachel Wagner. Duluth Energy Design Conference 26 February

Here Comes the Sun. Rachel Wagner. Duluth Energy Design Conference 26 February Here Comes the Sun Duluth Energy Design Conference 26 February 2014 Photo by Dave Swenson Rachel Wagner Here Comes the Sun 1 Wagner Zaun Architecture 17 N Lake Avenue Duluth, MN 55802 www.wagnerzaun.com

More information

Building Bridge Project: The Delaware River at Dingman s Ferry, PA. Jonathan Lessuck. Amina Akhter

Building Bridge Project: The Delaware River at Dingman s Ferry, PA. Jonathan Lessuck. Amina Akhter Akhter 1 Building Bridge Project: The Delaware River at Dingman s Ferry, PA Jonathan Lessuck By Amina Akhter Physic Amina Akhter ELLIS Preparatory Academy January, 16, 2015 Akhter 2 The Delaware River

More information

BRE Client Report. Aging of light pipe materials (4000 hours artificial ageing) Prepared for: James McGowan Monodraught. BRE Watford, Herts WD25 9XX

BRE Client Report. Aging of light pipe materials (4000 hours artificial ageing) Prepared for: James McGowan Monodraught. BRE Watford, Herts WD25 9XX BRE Client Report Aging of light pipe materials (4000 hours artificial ageing) Prepared for: James McGowan Date: 24 February 2015 Report Number: 298-109 Issue: 4 BRE Watford, Herts WD25 9XX Prepared for:

More information

Design Optimisation of Compound Parabolic Concentrator (CPC) for Improved Performance M. M. Isa, R. Abd-Rahman, H. H. Goh

Design Optimisation of Compound Parabolic Concentrator (CPC) for Improved Performance M. M. Isa, R. Abd-Rahman, H. H. Goh Design Optimisation of Compound Parabolic Concentrator (CPC) for Improved Performance M. M. Isa, R. Abd-Rahman, H. H. Goh Abstract A compound parabolic concentrator (CPC) is a wellknown non-imaging concentrator

More information

(12) Patent Application Publication (10) Pub. No.: US 2008/ A1

(12) Patent Application Publication (10) Pub. No.: US 2008/ A1 (19) United States US 2008.0035140A1 (12) Patent Application Publication (10) Pub. No.: US 2008/003514.0 A1 Placer et al. (43) Pub. Date: (54) SOLAR ROOF TILE (75) Inventors: Neil V. Placer, Frederick,

More information

MECHATRONIC SYSTEM FOR SOLAR ENERGY ACQUISITION

MECHATRONIC SYSTEM FOR SOLAR ENERGY ACQUISITION MECHATRONIC SYSTEM FOR SOLAR ENERGY ACQUISITION Besnea Daniel, Dontu Octavian, Gheorghe I. Gheorghe 3, Victor Constantin 4, Spanu Alina 5,,4,5 University Politehnica of Bucharest, Mechatronic and Precision

More information

Consumer Guide. Southwest Windpower 1801 W. Route 66 Flagstaff, AZ USA

Consumer Guide. Southwest Windpower 1801 W. Route 66 Flagstaff, AZ USA Consumer Guide wind turbine SITING Southwest Windpower 80 W. Route 66 Flagstaff, AZ 8600 USA www.windenergy.com Introduction Is wind power right for you? Wind generators are an effective source of renewable

More information

Introduction to Infrared Thermometry

Introduction to Infrared Thermometry TS-104 Introduction to Infrared Thermometry Fig. 1 - Blackbody Radiation Characteristics General Infrared thermometers have the ability to measure temperature without physical contact. The ability to accomplish

More information

Measuring the Solar Constant

Measuring the Solar Constant SOLAR PHYSICS AND TERRESTRIAL EFFECTS Measuring the Solar Constant Relevant Reading Purpose Chapter 2, section 1 With this activity, we will let solar radiation raise the temperature of a measured quantity

More information

Newtonian 17.5-inch Optical Tube Assembly

Newtonian 17.5-inch Optical Tube Assembly Newtonian 17.5-inch Optical Tube Assembly Kevin Phung 1, Jacob Hass 1, Victor Chen 2, Kevin Thompson 1, and Russell Genet 1, 3 1. California Polytechnic State University, San Luis Obispo, CA 2. University

More information

150. a. Clear fractions in the following equation and write in. b. For the equation you wrote in part (a), compute. The Quadratic Formula

150. a. Clear fractions in the following equation and write in. b. For the equation you wrote in part (a), compute. The Quadratic Formula 75 CHAPTER Quadratic Equations and Functions Preview Eercises Eercises 8 50 will help you prepare for the material covered in the net section. 8. a. Solve by factoring: 8 + - 0. b. The quadratic equation

More information

Assignment 1 and 2: Complete practice worksheet: Simplifying Radicals and check your answers

Assignment 1 and 2: Complete practice worksheet: Simplifying Radicals and check your answers Geometry 0-03 Summary Notes Right Triangles and Trigonometry These notes are intended to be a guide and a help as you work through Chapter 8. These are not the only thing you need to read, however. Rely

More information

AN INSTRUMENT FOR THE MEASUREMENT OF ROAD SURFACE REFLECTION PROPERTIES

AN INSTRUMENT FOR THE MEASUREMENT OF ROAD SURFACE REFLECTION PROPERTIES AN INSTRUMENT FOR THE MEASUREMENT OF ROAD SURFACE REFLECTION PROPERTIES Corell, D. D 1, Sørensen, K. 2 1 Technical University of Denmark, DTU Fotonik, 4000 Roskilde, DENMARK, 2 Johnsen Consult, 2100 København

More information

Test Wed, Feb 8 th 7pm, G20 MING HSIEH Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from:

Test Wed, Feb 8 th 7pm, G20 MING HSIEH Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from: Test Wed, Feb 8 th 7pm, G0 MING HSIEH Bring your calculator and # pencil with a good eraser! 0 Multiple choice questions from: Chapter 1 (except section 1. and 1.7): Unit conversions, estimating, trigonometry,

More information

Time Constant. φ φ0.2 Bare copper wire

Time Constant. φ φ0.2 Bare copper wire Figure 1.1. The physical photo of high temperature plastic tubing and sealed by epoxy, while the T70 is the non-sealed version. Comparing with conventional assemblies containing epoxy encapsulated thermistors,

More information

MODULAR AND CUSTOM EXHIBIT SOLUTIONS

MODULAR AND CUSTOM EXHIBIT SOLUTIONS MODULAR AND CUSTOM EXHIBIT SOLUTIONS Hanging Elements Custom hanging elements are a great way to be seen from across the hall or convention center. Custom Light Solutions Everyone knows how critical lighting

More information