Energy Drilling Prospects

 Adela Bennett
 7 months ago
 Views:
Transcription
1 01 05 Energy Drilling Prospects Fraser Offshore Ltd is a drilling project management company. It designs, plans and drills oil wells for clients who are typically oil & gas companies or large utilities companies similar to British Gas and EDF Energy. Your task is to use your mathematic skills to assist Fraser Offshore with the design of a new drilling project. In completing this project you will develop your skills in the following areas of mathematics: n Number: adding: subtraction, multiplication, division, rounding and percentages, converting imperial to metric n Algebra: linear equations, formulae, straight line graphs y = mx + c n Shape & space: prism volumes, circle theorems, bearings, scale drawings, angles, Pythagoras/trigonometry, coordinates, loci. n Statistics: pie charts, scatter diagrams/line of best fit. n Probability and averages are very easy to apply to oil and gas e.g. likelihood of discovery based on tabular data etc.
2 02 Energy Drilling Prospects Task 1 We have been asked by an oil company to drill a well ( Prospect 1 ) for them. In order to do so we need to move the drilling rig from its current position ( Prospect 2 ) to the new well site ( Prospect 1 ) as shown below The client pays a day rate for each day that the rig is in their possession (this can be anything between 130k at present to 245k at peak times). When the rig is not drilling, a period known as downtime, the client is losing money. The client therefore wishes to expedite the move in order that drilling can commence as soon as possible and they have asked for an estimate of cost for the move to be produced. In order to help us provide them with a cost we require answers to the following items:
3 03 a. What are the approximate coordinates of both drill sites; Prospect 1 and 2? b. Now assume that the rig can move in a straight line, use measurements together with the scale at the bottom of the map (8.5cm:100m) to find what distance does it need to be moved. c. Check and refine your measurement in part (b) by using Pythagoras and your coordinates to find a more accurate figure. d. The rig moves at a rate of 100m per hour. Using your answer from (b) calculate the length of time that it will take to manoeuvre the rig to its new position. Remember s = d/t. e. Given that the cost of moving the rig is given as 12,500 per 50m, calculate the cost of the rig move. f. Two wrecks can be seen lying on the seabed near the well site at Prospect 2. The rig requires 50m of clear seabed around it in order to operate safely. Will the wrecks inhibit drilling operations? g. Supply boats will be run twice a day to the rig, weather dependant. In order that they may navigate their way to the rig calculate the bearing of each wreck relative to Prospect 1.
4 04 h. The helipad on the rig is circular with a radius of 7.5 metres. The largest helicopter used requires an area of 175m 2 to land. Please confirm, or otherwise, if the helipad on the rig is large enough for this helicopter to land. i. The rig team are considering reducing the operational spend by using even larger helicopters so that they may deploy greater numbers of staff more cheaply. This means that they must increase the diameter of the existing helipad by 50%. What will be the area of the new helipad?
5 05 j. It is later found that there is a wreck exactly half way between Prospect 1 and Prospect 2 and that upon moving, the rig must remain more than 50m clear of the wreck at all times. Use loci, measurement, Pythagoras and circle formula to find the shortest path of movement and associated time and cost to move.
6 06 k. It is later found that the radius of the helipad in part (h) was measured to the nearest 2 significant figures and the landing area required to the nearest 5m 2. Considering this new information can we be certain that the helipad is large enough for the helicopter?
7 07 well design montage
8 08 Task 2 Once the rig is safely in situ drilling can commence. Drilling through the seabed requires a number of different approaches dependent upon the geology that is encountered as some materials are much harder than others. The attached well design montage page above details a lithology column which shows the expected depths of the different rock formations and how deep the sea is above the seabed (which is included in the total depth measurement). Looking at the lithology column of the well design montage ; a. What percentage of the total depth (3000ft) is made up of the Mercia Mudstone Group? What are the percentages of the remaining other rock types? b. Construct a pie chart demonstrating the quantity of the total depth that is occupied by sea water, Tertiary/Dowbridge Mudstone, Mercia Mudstone Group and Ormskirk Sandstone.
9 09 The well is drilled in sections as shown in diagram B. As each hole is being drilled, casing (a cylindrical hollow pipe) is run down the hole and cement is injected around it to hold it in place and maintain the cavity. In this case the first drilled hole is 12 1 /4 inches in diameter and the casing is 9 5 /8 inches in diameter. c. In order that we can know how much cement is required, convert the imperial measurements into metric diameters and calculate the circumference and area of each hole. DIAGRAM A d. Calculate the volume of cement that would be required to fill the gap between the open hole and the 9 5 /8 casing from a depth of 2436 feet to the sea bed 100ft from the top (see diagram A). DIAGRAM B
10 10 The nature of cement that is used depends upon a variety of factors such as the depth of the well, the pressure that is encountered and the changes in temperature that occur with depth. Often it is necessary to add chemicals or other materials to the cement in order to make it stronger, when under pressure, or to prevent it from hardening too soon, as it is pumped into deep wells. e. Use your answer to (d) to calculate how much of the following additives taken from the cement recipe would be required to mix the cement properly: Additive (a) at 2.3 litres per cubic metre (answer in litres) Additive (b) at 4.6 gallons per cubic metre (answer in gallons and convert to litres, remember 1 gallon = 4.5 litres). Sometime during drilling a void is discovered which needs to be filled. f. How much cement would be required if the drilling engineer requests that a 30% excess on the original volume (d) is required? What is the volume of this void? If a void of this volume were to be spherical, what would be the radius of the sphere? (Remember volume of sphere = 4/3 π r 3 )
11 11 Task 3 It is absolutely crucial in well design to know at what pressure the oil/gas is stored in the formation that is being drilled into. This in order that an escape of pressure (known as a blow out ) through the well bore may be avoided. Once the cement has set, the well is drilled deeper by passing a smaller drilling assembly through the casing and into the new formation. A new formation is drilled and tests are performed continuously to measure the pressure at each new depth (see attached information). Unfortunately, the Measure Whilst Drilling tool has provided erratic readings so the constant pressure cannot be determined. It is therefore necessary to plot a scattergraph of pressure vs depth to determine the line of best fit. a. Use the information shown below to plot a scattergraph of depth (feet, x axis) vs pressure (psi, y axis) and include a line of best fit. Depth (ft) Pressure (psi)
12 b. For your line of best fit, find its gradient and the point where it crosses the y axis. Use this to write the equation of your line of best fit in the form y=mx+c (where m is the gradient and c is the point where it crosses the y axis). c. Use your line of best fit to estimate the pressure when the pressure is 4750ft
13 13 The normal formation pressure gradient is given as psi/ft. This means that, for every foot of depth dug by the well, the pressure increases by psi (pounds per square inch). d. What would the pressure be at a depth of 2000ft? As the well is being drilled, mud is pumped down through the bore. Keeping the hole full of drilling mud prevents oil and gas from the formation from flowing into the drilled well. The mud must be kept at a higher pressure, and therefore pressure gradient, than the formation to prevent blow outs. It is usual for 10ppg (pounds per gallon) mud to be used. To arrive at the pressure gradient of the mud, we multiply the mud weight (10ppg) by a constant conversion factor of e. Find the mud pressure gradient and then use this to check whether the well is safe by comparing with the formation pressure gradient of psi/ft. Remember, for the well to be safe the mud pressure gradient must be higher than the formation pressure gradient otherwise a blowout may occur! DIAGRAM C
14 14 Once drilling has commenced a survey shows that the well has been drilled at an angle of 3 to the vertical, as shown in diagram C. The well was supposed to have been drilled vertically (0 ) in order to hit a target 30m deep and of horizontal radius 10m. f. If the well is 3000ft deep, has it missed the target? Refer to attached diagram and note that the planned well was designed to hit the middle of the target. g. What is maximum angle of error that the well can be drilled at in order to hit the target 3000ft deep? h. Given that the well is drilled at 3 to the vertical, what is the greatest depth that the target area could be at for the well to be successful? And what is this as a percentage of the planned well depth?
15 15 Energy Drilling Prospects answers Task 1 answers a. Prospect 1 (13.9, 12.1), Prospect 2 (21.2, 17.1) b = m c. [( )2 + ( )2] = 8.8 coord units = 14.96cm : 176m d. 1hr 46 minutes e. (176 50) x 12,500 = 3.52 x 12,500 = 44,000 f. No, they don t inhibit the move g. (g depends on position of rigs) h. Area = π x 7.52 = 176.7m2 helipad is large enough for helicopter to land. i. Scale factor = 1.5 area factor = 1.52 = Therefore new area = x 2.25 = 397.6m2
16 16 Energy Drilling Prospects answers j. Difficult! See image 2. Loci required: Circle radius 4.25 a cm, centred on midpoint of Prospect1/Prospect2. Arcs on circle radius 6.18 b cm from each Prospect. Straight lines from each Prospect to intersections of each arc with circle Measure anglec of arc of circumference around which movement required Workings: a 50m clear of wreck, 8.5 cm : 100m 50m = 8.5cm 2 = 4.25cm b Right angled triangle required, hypotenuse end points on Prospect 1 (or 2) and midpoint, shortest side = radius of circle. Pythagoras to find remaining side: ( ) = 6.18cm c Measure angle as 68. Arc of circumference = (2 x 4.25 x π) x (68/360) = 5.04cm Shortest movement distance = = 17.4cm Using scale of 8.5cm : 100m 204.8m k. Limits are radius min = 7.45m, Area required max = 177.5m 2 Min poss area = π x = m < 177.5, therefore not certain safe for landing.
17 17 Energy Drilling Prospects answers Task 2 Answers a. Mercia mudstone: 3.3cm 14.7cm = 22.4% Tertiary & Dowbridge mudstone: = 47.6% Ormskirk sandstone: = 23.1% b. Angles for pie chart are: Mercia mudstone: 22.4% x 360 = 81 Tertiary & Dowbridge mudstone: 47.6% x 360 = 171 Ormskirk sandstone: 23.1% x 360 = 83 Remaining angle for sea = = 25 (6.9%) c / 4 inches x 2.54 = cm, area = 760cm 2, circumference = 97.57cm 9 5 / 8 inches x 2.54 = cm, area = 469cm 2, circumference = 76.8cm d = 2336ft = inches = 71,201cm Volume = ( ) x = 20,719,572cm 3 = 20.72m 3 (Better method is to convert area into metres first) e. Additive (a): 2.3 x = lt Additive (b): 4.6 x = gallons = lt f. Additional 30% excess: = 1.3 x = m 3 Volume of void: 0.3 x = 6.216m 3 Radius of sphere = 3 [(6.216 x 3) (4π)] = 1.14m
18 18 Energy Drilling Prospects answers Task 3 Answers a) See image below: b. Gradient = ( ) ( ) = = 1.02 Crosses y axis: approx Equation: y=1.02x 2650 (Equation of y on x regression line: y=1.014x 2652) c. Pressure = 4750 x = psi d x 2000 = 904psi e. 10 x 0.052= > well is safe.
19 19 Energy Drilling Prospects answers f. 3000ft = 914.4m Using trigonometry, opp = hyp x sinθ opp = x sin3 = 47.86m Well target was circle of radius 5m, > 5 (by a long way!) well missed target g. Using trigonometry, tanθ = opp adj tan1( ) = 0.31 h. Using trigonometry, hyp = opp sinθ hyp = 5 sin3 = 95.5m = 313.4ft / 3000 = 10.4%
Rig Math. Page 1.
Page 1 The Calculator and Main Keyboard Display Numerical 10key pad used for entering numerical values Trigonometric Functions These keys will be used where wellbore angle is an issue These are the keys
More informationYear 10 Mathematics, 2007
Student s Name: Teacher s Name: 10 Year 10 athematics, 2007 lgebra Use straightforward algebraic methods and sketch and interpret features of linear graphs Time: 20 minutes. Check that you have entered
More informationPerimeter. Name. 22 Topic 17. Reteaching Find the perimeter of the figure below.
Perimeter Reteaching 11 Find the perimeter of the figure below. 15 m x 4 ft 4 ft 2 ft y 2 ft 5 ft 6 m 20 ft Reteaching 11 By using a formula: There are two equal lengths and equal widths, so you can
More informationACTIVITY: Finding a Formula Experimentally
8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack
More informationPART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE
PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE LINEAR MEASURE In geometry, linear measure is the measure of distance. For instance, lengths, heights, and widths of geometric figures are distances,
More informationBook 3  Well Control Calculations
Welltrain Distance Learning Programme  DRILLING CALCULATIONS www.welltrain.com.au Welltrain Distance Learning Programme Book 3  Well Control Calculations 162 Colin Street, West Perth, WA 6005 Tel: +61
More informationApplication of Geometric Mean
Section 81: Geometric Means SOL: None Objective: Find the geometric mean between two numbers Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse
More informationBASICS OF TRIGONOMETRY
Mathematics Revision Guides Basics of Trigonometry Page 1 of 9 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier BASICS OF TRIGONOMETRY Version: 1. Date: 0910015 Mathematics Revision
More information1 What is Trigonometry? Finding a side Finding a side (harder) Finding an angle Opposite Hypotenuse.
Trigonometry (9) Contents 1 What is Trigonometry? 1 1.1 Finding a side................................... 2 1.2 Finding a side (harder).............................. 2 1.3 Finding an angle.................................
More information81. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
81 he Pythagorean heorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number Square Positive Square Root 9 81 3 1 4 1 16 1 2 Vocabulary Builder leg
More informationNational Quali cations Forename(s) Surname Number of seat. Date of birth Day Month Year Scottish candidate number
N5 X744/75/02 FRIDAY, 9 MAY 2:10 PM 3:50 PM FOR OFFICIAL USE National Quali cations 2014 Mark Lifeskills Mathematics Paper 2 *X7447502* Fill in these boxes and read what is printed below. Full name of
More informationApplications of trigonometry
Applications of trigonometry This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationParking Lot HW? Joke of the Day: What do you get when you combine a flat, infinite geometric figure with a beef patty?
Parking Lot HW? Joke of the Day: What do you get when you combine a flat, infinite geometric figure with a beef patty? a plane burger Agenda 1 23 hw? Finish Special Right Triangles L8 3 Trig Ratios HW:
More informationConstructing a PVC Flute
Constructing a PVC Flute EQUIPMENT PVC pipe The instructions are for ¾ diameter PVC 480 PSI or 200 PSI. The thickness of the PVC depends on the PSI rating. Corks or dowels that fits into the end of the
More informationQuali cations. Forename(s) Surname Number of seat
FOR OFFICIAL USE Quali cations N5National 015 X744/75/01 WEDNESDAY, 9 APRIL 1:00 PM 1:50 PM Mark Lifeskills Mathematics Paper 1 (NonCalculator) *X7447501* Fill in these boxes and read what is printed
More informationNational Qua li ncations ' ' '
FOR OFFICIA USE National Qua li ncations 2014 MarkO X744/75/02 ifeskills Mathematics Paper 2 FRIDAY, 9 MAY 2:10 PM  3:50 PM 1111111111111111111111111 11111111 11111111111111 * X 7 447 5 0 2 * Fill in
More informationTutorial 5 Relative equilibrium
Tutorial 5 Relative equilibrium 1. n open rectangular tank 3m long and 2m wide is filled with water to a depth of 1.5m. Find the slope of the water surface when the tank moves with an acceleration of 5m/s
More informationFirestop Products and Systems Estimating Guide
F i rr eessttooppppi ni ng g http://flamesafe.rectorseal.com PRODUCT DATA UPDATES TECH LETTERS DETAILS MSDS CONTACTS FAQS Firestop Products and Systems Estimating Guide Throughpenetrations Estimating
More information13.7 Quadratic Equations and Problem Solving
13.7 Quadratic Equations and Problem Solving Learning Objectives: A. Solve problems that can be modeled by quadratic equations. Key Vocabulary: Pythagorean Theorem, right triangle, hypotenuse, leg, sum,
More informationApplications of Mathematics
Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Applications of Mathematics Unit 1: Applications 1 For Approved Pilot Centres ONLY Foundation Tier Wednesday
More informationPractice Test. 2 What is the area of this figure?
Practice Test 1 Which letter has a line of symmetry? S J R W L 3 Jane's house has a garden which is in the shape of a square. If each side of the garden is 18 feet then what is the perimeter of the garden?
More informationAlgebra I: Strand 3. Quadratic and Nonlinear Functions; Topic 1. Pythagorean Theorem; Task 3.1.2
Algebra I: Strand 3. Quadratic and Nonlinear Functions; Topic. Pythagorean Theorem; Task 3.. TASK 3..: 3060 RIGHT TRIANGLES Solutions. Shown here is a 3060 right triangle that has one leg of length and
More informationPesticide Applicator Safety for Structural Applicators Calculations
Pesticide Applicator Safety for Structural Applicators Pesticide Applicator Safety for Structural Applicators Calculations 1 Calibrating Pesticide Application Equipment What You'll Learn! The purpose of
More informationCHANGES IN FORCE AND MOTION
reflect CRACK! That s the sound of a bat hitting a baseball. The ball fl ies through the air and lands over the fence for a home run. The motion of a batted ball seems simple enough. Yet, many forces act
More informationAdditional 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 informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication
More informationMeasurement LESSON ONE  Metric and Imperial Lesson Notes
0 1 2 Measurement Introduction Introduction to Measurement a) Complete the following table: Unit Length Multiplying (in metres) Factor Referent mm cm dm m dam hm km b) Indicate which measuring tool is
More informationUsing Darts to Simulate the Distribution of Electrons in a 1s Orbital
NAME: Using Darts to Simulate the Distribution of Electrons in a 1s Orbital Introduction: The quantum theory is based on the mathematical probability of finding an electron in a given three dimensional
More informationUnit 3 Trigonometry. 3.1 Use Trigonometry to Find Lengths
Topic : Goal : Unit 3 Trigonometry trigonometry I can use the primary trig ratios to find the lengths of sides in a right triangle 3.1 Use Trigonometry to Find Lengths In any right triangle, we name the
More informationPHYS 101 Previous Exam Problems
PHYS 101 Previous Exam Problems CHAPTER 14 Fluids Fluids at rest pressure vs. depth Pascal s principle Archimedes s principle Buoynat forces Fluids in motion: Continuity & Bernoulli equations 1. How deep
More informationInflatable Packer Single & Double. Single & Double Packer Dimension. Wireline Packer. Water Testing Packer (WTP) Packer
Inflatable Packer Single & Double Single & Double Packer Dimension Wireline Packer Water Testing Packer (WTP) Packer Packer Working Pressure & Depth Chart Packer Water Hand Pump Packer Air Driven Pump
More informationCasing Design. Casing Design. By Dr. Khaled Elshreef
Casing Design By Dr. Khaled Elshreef 1 Casing Design CONTENTS Function of Casing Casing Types & Tools Strength Properties Casing Specification Casing Design 2 1 RUNNING AND CEMENTING CASING Reasons for
More informationChapter 11 Applications in Trigonometry
F.3 athematics Supplementary Worksheet for C 3 Chapter 11 ame: Class: 3 ( ) Date: Chapter 11 pplications in Trigonometry Level 1 1. eter walks up along an uphill road. The inclination of the road is 15.
More informationSIZING OF WATER PIPING SYSTEM
SIZING OF WATER PIPING SYSTEM (This appendix is informative and is not part of the code.) SECTION AP101 GENERAL AP101.1 Scope. AP101.1.1 This appendix outlines two procedures for sizing a water piping
More informationweight of the book divided by the area of the bottom of the plunger.
Lab: Boyle s Law Datasheet Name Data: Pressure is defined as force per unit area: P = Force/Area When a book rests on top of the plunger, the pressure it exerts equals the weight of the book divided by
More informationExtended leak off testing
Extended leak off testing Rev: 1.0 03/01/01 Purpose To ensure minimal operational time and risk exposure to personnel, process, production and equipment. The following extended leak off test procedures
More informationPerformance Task # 1
Performance Task # 1 Goal: Arrange integers in order. Role: You are a analyzing a Julie Brown Anderson s dive. Audience: Reader of article. Situation: You are interviewing for a job at a sports magazine.
More information1 Mechanical Equilibrium
1 Mechanical Equilibrium 11 Forces in Equilibrium Vocabulary Force: A push or a pull. A force is needed to change an object s state of motion. The downward force acting on an object is called weight,
More informationLab 4: Transpiration
Lab 4: Transpiration Water is transported in plants, from the roots to the leaves, following a decreasing water potential gradient. Transpiration, or loss of water from the leaves, helps to create a lower
More informationName Date Period. (D) 4 π. 3. One revolution per minute is about: (A) rad/s (B) rad/s (C) 0.95 rad/s (D) 1.57 rad/s (E) 6.
Name Date Period Worksheet 5.2 Applications of Angles Show all work. All answers must be given as either simplified, exact answers. A calculator is permitted unless otherwise stated. Unless stated otherwise,
More informationFUNCTIONAL 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 informationWalk  Run Activity An S and P Wave Travel Time Simulation ( S minus P Earthquake Location Method)
Walk  Run Activity An S and P Wave Travel Time Simulation ( S minus P Earthquake Location Method) L. W. Braile and S. J. Braile (June, 2000) braile@purdue.edu http://web.ics.purdue.edu/~braile Walk
More informationYour Bonus. Steps for doing the Homework. Make sure you convert to the correct units of measure:
Your Bonus Steps for doing the Homework 1. Read the entire question. 2. Read it again: understand what it is asking. 3. Apply the appropriate formula (from page 5 of the Handout Packet). 4. Write the formula
More informationWAT305 Math Part 1 ABC Math
WAT305 Math Part 1 ABC Math Good to know for certification: You have used 35 150lb cylinders of Chlorine in 2011 how many pounds total did you use? How many pounds per month did you use? If demand is expected
More informationRightangled triangles and trigonometry
Rightangled triangles and trigonometry 5 syllabusref Strand: Applied geometry eferenceence Core topic: Elements of applied geometry In this cha 5A 5B 5C 5D 5E 5F chapter Pythagoras theorem Shadow sticks
More informationA 28inch ribbon was cut into four equal lengths. How long was each piece of ribbon?
Name Score Benchmark Test 1 Math Course 1 For use after Lesson 0 1. (5) A inch ribbon was cut into four equal lengths. How long was each piece of ribbon? A. 7 inches B. 7 1 inches. () In a class of students
More informationMATHEMATICS  NUMERACY UNIT 2: CALCULATOR  ALLOWED INTERMEDIATE TIER 1 HOUR 45 MINUTES
Candidate Name Centre Number 0 Candidate Number GCSE MATHEMATICS  NUMERACY UNIT 2: CALCULATOR  ALLOWED INTERMEDIATE TIER 2 nd SPECIMEN PAPER SUMMER 2017 1 HOUR 45 MINUTES ADDITIONAL MATERIALS A calculator
More informationCore 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 informationSum Fun Tournament Meeting (Multiple Topics)
Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below
More informationRevision 7/2/02 MEASURING WRAVMA DRAWING DESIGNS WITH SCORING TEMPLATES
Revision 7/2/02 MEASURING WRAVMA DRAWING DESIGNS WITH SCORING TEMPLATES these suggested criteria supplement the criteria in the WRAVMA manual *Note item designs depicted here are representational and
More informationMATHCOUNTS State Competition Target Round Problems 1 and 2 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.
MATHCOUNTS Name School Chapter 2006 State Competition Target Round Problems 1 and 2 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of eight problems, which will
More informationAnalysis of 24Hour Pump Test in Well NCEWDP3S, Near Yucca Mountain, Nevada
Analysis of 24Hour Pump Test in Well NCEWDP3S, Near Yucca Mountain, Nevada Prepared for: Nye County Department of Natural Resources and Federal Facilities, Nuclear Waste Repository Project Office, Grant
More informationGears Ratios and Speed / Problem Solving
Teacher Mechanics Note to the teacher On this page, students will learn about the relationship between gear ratio, gear rotational speed, wheel radius, diameter, circumference, revolutions and distance.
More informationBIGGAR HIGH SCHOOL HOMEWORK BOOKLET NATIONAL 4
BIGGAR HIGH SCHOOL HOMEWORK BOOKLET NATIONAL Rounding 1. Round these numbers to the nearest 10: a) 238 b) 719 c) 682 3 2. Round these numbers to the nearest 100: a) 6783 b) 13295 c) 199 3 3. Round these
More informationActivity #1: The Dynamic Beach
Activity #1: The Dynamic Beach Beach Profiling By Betsy Sheffield, COASTeam Program, College of Charleston, Charleston, SC Subjects: Science, Math Skills: Analysis, description, listing, research, small
More information1. Which geometric solid would be best to use as a model of the following objects found in the real world. A. B. c.
1. Sec 5.6 Geometric & Algebra Connections Geometric Models Name: Choosing a Model Prism Pyramid Cylinder Cone Sphere Hemisphere SA = 2(lh + hw + lw) SA = LA + B SA = 2πrh + 2πr 2 SA = πrl + πr 2 SA =
More informationAreas of Parallelograms and Triangles 71
Areas of Parallelograms and Triangles 71 Parallelogram A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of parallelogram, but we often see
More information. In an elevator accelerating upward (A) both the elevator accelerating upward (B) the first is equations are valid
IIT JEE Achiever 2014 Ist Year Physics2: Worksheet1 Date: 20140626 Hydrostatics 1. A liquid can easily change its shape but a solid cannot because (A) the density of a liquid is smaller than that of
More informationBorais Petroleum Investment Co. SLOT RECOVERY SERVICE General Procedures
Borais Petroleum Investment Co. SLOT RECOVERY SERVICE General Procedures Slot Recovery Procedures: Slot Recovery Running Procedures 1. Cut And Retrieve Operation: Borais s cut and retrieve equipment: 1.
More information, Candidate Name Number
, Candidate Name Centre Number 0 Candidate Number GCSE MATHEMATICS  NUMERACY UNIT 2: CALCULATOR  ALLOWED HIGHER TIER 2 nd SPECIMEN PAPER SUMMER 2017 1 HOUR 45 MINUTES ADDITIONAL MATERIALS A calculator
More informationAgood tennis player knows instinctively how hard to hit a ball and at what angle to get the ball over the. Ball Trajectories
42 Ball Trajectories Factors Influencing the Flight of the Ball Nathalie Tauziat, France By Rod Cross Introduction Agood tennis player knows instinctively how hard to hit a ball and at what angle to get
More informationBOYLE S / CHARLES LAW APPARATUS  1m long
BOYLE S / CHARLES LAW APPARATUS  1m long Cat: MF0340101 (combination Boyle s and Charles without mercury) DESCRIPTION: The IEC Boyle's & Charles Law apparatus is a high quality instrument designed to
More informationParallel Lines Cut by a Transversal
Name Date Class 111 Parallel Lines Cut by a Transversal Parallel Lines Parallel Lines Cut by a Transversal A line that crosses parallel lines is a transversal. Parallel lines never meet. Eight angles
More informationPut in simplest radical form. (No decimals)
Put in simplest radical form. (No decimals) 1. 2. 3. 4. 5. 6. 5 7. 4 8. 6 9. 5 10. 9 11. 3 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 3 28. 1 Geometry Chapter 8  Right Triangles
More informationand its weight (in newtons) when located on a planet with an acceleration of gravity equal to 4.0 ft/s 2.
1.26. A certain object weighs 300 N at the earth's surface. Determine the mass of the object (in kilograms) and its weight (in newtons) when located on a planet with an acceleration of gravity equal to
More informationMasterMathMentor.com Stu Schwartz
4. A rectangular well is 6 feet long, 4 feet wide, and 8 feet deep. If water is running into the well at the rate of 3 ft 3 /sec, find how fast the water is rising (keep in mind which variables are constant
More informationShade Sail Structures
Shade Sail Structures The Complete How to" Guide Provided by: Sail Shade World Pty Ltd There are 5 steps in creating a custom made shade sail structure: 1. Planning your structure 2. Installing your fixing
More informationAlgebra I: A Fresh Approach. By Christy Walters
Algebra I: A Fresh Approach By Christy Walters 2005 A+ Education Services All rights reserved. No part of this publication may be reproduced, distributed, stored in a retrieval system, or transmitted,
More informationOVERVIEW. Flow Coefficient C v. Operating Conditions. Specific Gravity
VERVIEW This valve sizing software program is based on the use of nomenclature and sizing equations from ISA Standard S75.01 and IEC Standard 5342. The sizing equations are based on equations for predicting
More informationReadiness: Scuba Diving
Readiness: Scuba Diving AUTHOR INTENT Scuba diving is a realworld activity where each diver has to be responsible for their own safety. The safety of the divers relies on mathematics. The math reviewed
More informationRight is Special 1: Triangles on a Grid
Each student in your group should have a different equilateral triangle. Complete the following steps: Using the centimeter grid paper, determine the length of the side of the triangle. Write the measure
More informationQuick Reference Technical Data
Bulletin 127C 2 Quick Reference Technical Data For over 100 years, The Spencer Turbine Company has specialized in innovative solutions to air and gas handling problems. Spencer's product line includes
More informationDiscovering Special Triangles Learning Task
The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still
More informationThe Application of Temperature and/or Pressure Correction Factors in Gas Measurement
The Application of Temperature and/or Pressure Correction Factors in Gas Measurement COMBINED BOYLE S CHARLES GAS LAWS To convert measured volume at metered pressure and temperature to selling volume at
More informationRescue Rover. Robotics Unit Lesson 1. Overview
Robotics Unit Lesson 1 Overview In this challenge students will be presented with a real world rescue scenario. The students will need to design and build a prototype of an autonomous vehicle to drive
More information8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle
Chapter 8 Applications of Trigonometry 81 8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle A triangle that is not a right triangle is
More informationColorado Oil and Gas Conservation Commission (COGCC) Completed Interval Report, Form 5A Data Field Definitions
NOTE: Changes to the Form 5A, effective June 1, 2012, to accommodate the disclosure requirements are indicated by a preceding asterisk (*) and bold italics. All other fields are unchanged. FORM 5A HEADING
More informationExperiment 8 GAS LAWS
Experiment 8 GAS LAWS FV 6/25/2017 MATERIALS: Amontons Law apparatus, Boyle s Law apparatus, Avogadro s Corollary apparatus, four beakers (2 L), warmwater bath, ice, barometer, digital thermometer, air
More informationSpecial Right Triangles
GEOMETRY Special Right Triangles OBJECTIVE #: G.SRT.C.8 OBJECTIVE Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *(Modeling Standard) BIG IDEA (Why is
More informationEVALUATING AND INTERPRETING APPLICATION UNIFORMITY OF CENTER PIVOT IRRIGATION SYSTEMS
Page Break EVALUATING AND INTERPRETING APPLICATION UNIFORMITY OF CENTER PIVOT IRRIGATION SYSTEMS With rising fuel prices it is increasingly important that irrigation systems apply water uniformly in order
More informationWarm Up Find what numbers the following values are in between.
Warm Up Find what numbers the following values are in between. 1. 30 2. 14 3. 55 4. 48 Color squares on each side of the triangles with map pencils. Remember A square has 4 equal sides! Looking back at
More informationUnit #8 Review Right Triangle Trigonometry. 1. Which of the following could represent the sides of a right triangle?
Name: Date: Unit #8 Review Right Triangle Trigonometry 1. Which of the following could represent the sides of a right triangle? (1) { 6, 8,14 } (2) {, 20, } (3) { 15, 20, } (4) {,15, 20 } 2. Which of the
More informationOldExam.QuestionsCh14 T072 T071
OldExam.QuestionsCh14 T072 Q23. Water is pumped out of a swimming pool at a speed of 5.0 m/s through a uniform hose of radius 1.0 cm. Find the mass of water pumped out of the pool in one minute. (Density
More informationINSTALLING AN INEXPENSIVE AIR LINE TO MEASURE WATER DEPTHS IN WELLS
INSTALLING AN INEXPENSIVE AIR LINE TO MEASURE WATER DEPTHS IN WELLS Joe Henggeler Extension Agricultural EngineerIrrigation An inexpensive, yet highly accurate, device to measure the depth to water in
More informationSUBSEA KILL SHEET EXERCISE No. 5
Subsea Kill Sheet Exercise No. 5 SUBSEA KILL SHEET EXERCISE No. 5 Name: Date: Complete the Subsea vertical kill sheet provided on pages 2 and 3. Then answer questions 1 to 12. Please round calculations
More informationOCEAN DRILLING PROGRAM
BIH OCEAN DRILLING PROGRAM www.oceandrilling.org Scientifi c Application Packers A packer is an inflatable rubber element that inflates to seal the annular space between the drill string and the borehole
More informationExercise 42. Centrifugal Pumps EXERCISE OBJECTIVE DISCUSSION OUTLINE DISCUSSION. Pumps
Exercise 42 Centrifugal Pumps EXERCISE OBJECTIVE Familiarize yourself with the basics of liquid pumps, specifically with the basics of centrifugal pumps. DISCUSSION OUTLINE The Discussion of this exercise
More informationACTIVITY 1: Buoyancy Problems. OBJECTIVE: Practice and Reinforce concepts related to Fluid Pressure, primarily Buoyancy
LESSON PLAN: SNAP, CRACKLE, POP: Submarine Buoyancy, Compression, and Rotational Equilibrium DEVELOPED BY: Bill Sanford, Nansemond Suffolk Academy 2012 NAVAL HISTORICAL FOUNDATION TEACHER FELLOWSHIP ACTIVITY
More informationWrite these equations in your notes if they re not already there. You will want them for Exam 1 & the Final.
Tuesday January 30 Assignment 3: Due Friday, 11:59pm.like every Friday PreClass Assignment: 15min before class like every class Office Hours: Wed. 1011am, 204 EAL Help Room: Wed. & Thurs. 69pm, here
More informationCollege of Engineering
College of Engineering Department of Mechanical and Aerospace Engineering MAE250, Section 001 Introduction to Aerospace Engineering Final Project Bottle Rocket Written By: Jesse Hansen Connor Petersen
More informationAIAA Brush Seal Performance Evaluation. P. F. Crudgington Cross Manufacturing Co. Ltd. Devizes, ENGLAND
AIAA 983172 Brush Seal Performance Evaluation P. F. Crudgington Cross Manufacturing Co. Ltd. Devizes, ENGLAND BRUSH SEAL PERFORMANCE EVALUATION AIAA983172 P. F. Crudgington Cross Manufacturing Co. Ltd
More informationGEOMETRY CIRCLING THE BASES PREVISIT  BALLPARK FIGURES  PART 2
PREVISIT  BALLPARK FIGURES  PART 2 OBJECTIVE: Students will be able to: Identify the formulas for finding circumference and area of a circle. Calculate the circumference and area of given circles. TIME
More informationChapter 10. Right Triangles
Chapter 10 Right Triangles If we looked at enough right triangles and experimented a little, we might eventually begin to notice some relationships developing. For instance, if I were to construct squares
More informationWHEELCHAIR SKILLS PROGRAM (WSP) 4.1 OBSTACLE COURSE GUIDELINES
WHEELCHAIR SKILLS PROGRAM (WSP) 4.1 OBSTACLE COURSE GUIDELINES WSP 4.1 assessment and training activities can take place in any environment, because the obstacles are based on common ones found in hospitals,
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication
More informationTranspiration. DataQuest OBJECTIVES MATERIALS
Transpiration DataQuest 13 Water is transported in plants, from the roots to the leaves, following a decreasing water potential gradient. Transpiration, or loss of water from the leaves, helps to create
More informationDW Module 8: Distribution Answer Key
DW Module 8: Distribution Answer Key Unit 1: Unit 1 Exercise 1. To become certified in distribution systems, a person must: a. Successfully complete the Water Class E Distribution System certification
More informationLiquid level measurement using hydrostatic pressure and buoyancy
iquid level measurement using hydrostatic pressure and buoyancy This worksheet and all related files are licensed under the Creative Commons Attribution icense, version 1.0. To view a copy of this license,
More informationIrrigation System Winterization and Pressurization Procedures
Irrigation System Winterization and Pressurization Procedures Introduction Any time that an irrigation system is filled and pressurized, or when the system is drained and water flushed from the system,
More informationSec 9.5. Applications of Trigonometry to Navigation and Surveying
Sec 9.5 Applications of Trigonometry to Navigation and Surveying Which direction? In basic Trig standard position: Which direction? Navigation used by ships, planes etc. 9.5 Applications of Trigonometry
More information