NIFA REGIONAL SAFECON 2006 Manual Flight Computer Accuracy Explanations



Similar documents
NIFA NATIONAL SAFECON

DIRECCION DE PERSONAL AERONAUTICO DPTO. DE INSTRUCCION PREGUNTAS Y OPCIONES POR TEMA

THE FLIGHT COMPUTER TRUE AIRSPEED (TAS)

AIRCRAFT PERFORMANCE Pressure Altitude And Density Altitude

Unit Conversions. Ben Logan Feb 10, 2005

Conversions. 12 in. 1 ft = 1.

MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

ENGLISH CONTENT. Instructions for Using Your Computer Watch

Title: Trigonometric Solutions to a Dead Reckoning Air Navigation Problem Using Vector Analysis and Advanced Organizers

Quick Reference ebook

Geometry Unit 6 Areas and Perimeters

1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =

How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

Tallahassee Community College PERIMETER

MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:

Appendix C: Conversions and Calculations

General Physics 1. Class Goals

The Abingdon Co. Jackie. Product Information, Manual and Warranty

Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Tangent Properties. Line m is a tangent to circle O. Point T is the point of tangency.

Measurement. Customary Units of Measure

Geometry Notes PERIMETER AND AREA

Converting Units of Measure Measurement

Chapter 2 Measurement and Problem Solving

Characteristics of the Four Main Geometrical Figures

FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication

Circumference CHAPTER. 1

43 Perimeter and Area

To Multiply Decimals

INTERIM UNITS OF MEASURE As suggested by Federal Standard 376B January 27, hectare (ha) Hundred for traffic buttons.

Solutions to Exercises, Section 5.1

One basic concept in math is that if we multiply a number by 1, the result is equal to the original number. For example,

Perimeter is the length of the boundary of a two dimensional figure.

Applications for Triangles

Revision Notes Adult Numeracy Level 2

Propeller Efficiency. Rule of Thumb. David F. Rogers, PhD, ATP

Area and Circumference

Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.

Area of Parallelograms, Triangles, and Trapezoids (pages )

PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Chapter 1 Lecture Notes: Science and Measurements

of surface, , , of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Exercise Worksheets. Copyright Susan D. Phillips

CHAPTER 4 DIMENSIONAL ANALYSIS

Activity 8 Drawing Isobars Level 2

Physical Quantities and Units

WEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet - 36 inches. 1 Rod 5 1/2 yards /2 feet

Chapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?

Lesson 18 Pythagorean Triples & Special Right Triangles

Understanding Drag, Thrust, and Airspeed relationships

Algebra Geometry Glossary. 90 angle

Math Questions & Answers

GEOMETRIC MENSURATION

Chapter 1 Problems. To do all three sections of this problem, we can first convert the radius to kilometers. r = km 1000m = 6.

MCA Formula Review Packet

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

Mathematically Modeling Aircraft Fuel Consumption

Determining the Area and Volume of Your Pond

Conversion Formulas and Tables

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer. 9) 179

Calculating Area, Perimeter and Volume

1. Metric system- developed in Europe (France) in 1700's, offered as an alternative to the British or English system of measurement.

CSU Fresno Problem Solving Session. Geometry, 17 March 2012

Sample Questions Chapter 2. Stoker

Geometry and Measurement

TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM

Welcome to Physics 40!

Grade 6 FCAT 2.0 Mathematics Sample Questions

hp calculators HP 33S Unit Conversions Metric units and Imperial units Conversion keys Practice working problems involving conversions

Grade 7 & 8 Math Circles Circles, Circles, Circles March 19/20, 2013

Chapter 19. Mensuration of Sphere

UNIT (1) MEASUREMENTS IN CHEMISTRY

Geometry of 2D Shapes

HFCC Math Lab General Math Topics -1. Metric System: Shortcut Conversions of Units within the Metric System

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

AE Stability and Control of Aerospace Vehicles

Projectile motion simulator.

Parallel and Perpendicular. We show a small box in one of the angles to show that the lines are perpendicular.

Multiply circumference by Or divide circumference by Multiply diameter by Or divide diameter by

Formulas and Problem Solving

Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)

CCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name:

SHELL INDUSTRIAL APTITUDE BATTERY PREPARATION GUIDE

Handout Unit Conversions (Dimensional Analysis)

PROBLEM SET. Practice Problems for Exam #1. Math 1352, Fall Oct. 1, 2004 ANSWERS

Solution Derivations for Capa #11

Intermediate 2 NATIONAL QUALIFICATIONS. Mathematics Specimen Question Paper 1 (Units 1, 2, 3) Non-calculator Paper [C056/SQP105] Time: 45 minutes

Performance. Power Plant Output in Terms of Thrust - General - Arbitrary Drag Polar

Quarter One: August-October

The aerodynamic center

SA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid

Measurement/Volume and Surface Area Long-Term Memory Review Grade 7, Standard 3.0 Review 1

4.5.1 The Metric System

Practice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22

Geometry Notes VOLUME AND SURFACE AREA

Calculating Area and Volume of Ponds and Tanks

Right Triangles 4 A = 144 A = A = 64

History of U.S. Measurement

Transcription:

NIFA REGIONAL SAFECON 2006 Manual Flight Computer Accuracy Explanations Note to competitor: This will offer some basic help in solving the problems on the test. There is often more than one way to correctly solve any given problem. You will simply be offered one possible method or direction to help you find the solution. Although a calculator was used to help with the explanations, all answers can be correctly found with accurate use of a manual flight computer. 1. Basic off-course problem. Degrees to parallel = x Sin(x) = 11/68 x = 9.3 Rather than using sin, many manuals have you align dist off over dist flown and look above either 57.3 or the speed index. Some have a specific off-course window. Any of these techniques would get you very close to the correct answer of 9. 2. Same concept as #1. Need to convert distance so they are the same. 195 km = 105 NM 15 SM = 13 NM 105 13 = 92 Sin(x) = 11/92 x = 6.9 6.9 + 9 = 15.9 total degrees, closest to answer of 16 3. Basic TSD with fuel burn. Plot wind dot and use TC & TAS to acquire the GS. GS = 141 kts. Convert distance to NM and combine with GS to find time. Time = 57.3 minutes Combine time & fuel flow to get fuel burn. Fuel = 8.2 gal 4. Basic radius of action problem. (GS out + GS back) / H = GS back / T H = hours (or minutes) of fuel available T = Time to turn Find the above data and plug it into the equation solving for T. (106 + 146) / 76 min = 146 / T T = 44 min. Combine your time with GS out and get the answer of 78. 5. Simply find the total circumference of the circle and create a ratio of the portion flown. Circumference of a circle = 2πr C = 2 x 3.14 x 27 C = 169.6 So, 169.6 NM is to 360 as x is to 124 X = 58 NM on arc 1

6. Basic wind problem to find a GS of 127 kts. 7. Basic wind problem to find a TH of 277 8. Basic wind problem that gives TH instead of TC to give a GS of 110 kts. 9. Basic wind problem to find WCA of 5 L. 10. Basic wind problem, but TAS & GS are in mph where the answers are in knots. Need to convert to get correct answer of 177 @ 27 kts. 11. Basic wind problem that gives TH instead of TC to give a GS of 160 kts. 12. Basic wind problem to find a TC of 223. 13. Basic wind problem, but answers are in kmph. Must convert to find answer of 232 kmph. 14. TC with variation equals MC. 300-8 = 292 15. Take CH and remove variation & deviation to get TH. Compare TH & TC to get WCA of 11. Since no other info was given, must use WCA in place of crab angle. Sin(crab) = XW Comp / TAS Sin(11) = x / 100 x = 19 Easiest to use a manual flight computer with a sin scale, but can use off-course technique: Align 11 over 57.3. Look above 100 to get close to 19. 16. Basic double-drift (or triple-drift if you like). For each TH draw a line on your computer that represents the amount of drift associated with it. After all three lines are drawn you will see that they formed a triangle. Place a dot in the exact middle of it. This dot represents the wind dot. If you only use two of the readings, you will not get the correct answer of 308 @ 22 kts. The question asks for your best estimate and it is always prudent to average more readings than less. 17. Basic mach number problem. Use TAS and OAT to find a mach number of.18 mach. 18. Basic climb profile question. Find distance traveled during climb. Subtract the altitudes to find the difference in altitude in each segment. No altimeter setting was given, so assume standard. 8,000 2,000 (field elevation) = 6000 ft. 18,000 8,000 = 10,000 ft. 29,000 18,000 = 11,000 ft. 6,000 / 1500 fpm = 4 min. 130 KTAS for 4 min = 8.7 NM 10,000 / 900 fpm = 11.1 min. 120 KTAS for 11.1 min = 22.2 NM 2

11,000 / 500 fpm = 22 min. 110 KTAS for 22 min = 40.3 NM Add up distances to get 71.2 NM traveled during climb. This is about 3 NM short of the restricted area. 19. Distance to station, isosceles triangle method. You are on the 090 radial and re-center needle on 070 radial, a difference of 20. When you left the 090 radial you changed your course by 20. If you draw a picture you can make an isosceles triangle where two of the corners are 20. The sides opposite these angles must be the same as well. So since you traveled 20 NM (one side) the other side must also be 20 NM. Because there is no wind you can interchange headings and courses. Answers are in SM, so convert to get 23 SM. 20. Basic time-to-station problem. Time (minutes) / bearing change = time-to-station / 60 5 / 13 = x / 60 Time to station = 23 minutes You have time, use given groundspeed to find distance. GS is mph and answers are in NM, so remember to convert to get answer of 30.7 NM. 21. Simply asks for the time you calculated in problem #20. 22. Basic equal time point problem. Find GS out (if you were to continue) and GS back (if you were to turn back). Basic wind solution to find groundspeeds, but TAS not given. You must use the CAS, PA and OAT to find TAS of 152 kts (if you use a computer and method that takes into account compressibility, the speeds are slow enough that the answer will be the same). Remember to use your altimeter setting to compute PA, which is 500 ft. higher than cruising altitude. Using given winds with your TAS, find the groundspeeds. T = D / S Since time will be same, we can re-write: Dist back / GS back = Dist out / GS out Let s say dist to return = x and dist to continue = 110 x x / 168 = (110 x) / 136 136x = 18480 168x 304x = 18480 x = 60.8 NM, making the choice of 61 NM the correct one. Distance to return from ETP is the distance from KDAY. 23. Simply use your GS out of 136 kts with the distance of 110 NM to find time of 48.5 min. Use this time with given fuel burn rate to find a burn of 9.7 gal. 24. Basic time-to-station problem. Time (minutes) / bearing change = time-to-station / 60 0.78 min / 8 = x / 60 x = 5.85 min or 5 min 51 seconds 25. Using a computer with a navigation grid, align 283 at the TC index and mark a dot 40 units up. Next align 037 at the TC index and mark a dot 35 units up. Turn the marked disc until the line formed between the two dots is vertical or horizontal so you can read the grid units to measure the distance between them. Measure the units between them to find the answer of 63 NM. 26. Subtract field elevation to get altitude climbing of 7,250 ft. Convert TAS to knots. Use equation fpm / fpnm = GS in kts / 60 3

Use winds to find GS. Runways are magnetic, so MH is 150. Find GS of 54 kts. So, fpm / 350 = 54 / 60 Answer is 315 fpm. Remember, assigned heading is runway heading. This is not your course. 27. Basic wind problem using given data. 28. Altitude climbed is 7,250 ft. at 315 fpm. 7,250 / 315 = 23 minutes Combine with GS of 54 kts to arrive at 20.7 NM 29. Basic true altitude problem. 30. Using a computer with a temp rise window, you will find that 315 KTAS is aligned with a temp rise of 13 C. 31. Using a computer that can take into account compressibility, align CAS with PA to find mach #. 32. 1.8 km / 25 sec =.072 km per second 3281 feet per km.072 x 3281 = 236 fps 33. Basic weight & balance problem. This explanation will use manual flight computer figures, not calculator. Make all weights the same units. We will use pounds. Multiply each by its station to find moment. Nose Gear: 170 x 15 = 2550 Left Main: 1430 x 90 = 128000 Right Main: 1320 x 90 = 119000 Add weights and moments. Total Moment / Total Weight = CG (in same units as stations) 249550 / 2920 = 85 CG is 85. Convert to centimeters. 85 x 2.54 = 217 cm If you use a calculator through the entire problem you will get 217.533 34. TEMAC is the trailing edge of the mean aerodynamic chord. LEMAC is the leading edge of the mean aerodynamic chord. CG can be stated by how far back from LEMAC it is in a percentage of total MAC length. TEMAC minus 37 gives you a LEMAC of 77. You already calculated the CG as 85. 85 77 = 8 CG is 8 behind LEMAC 8 / 37 = 21.6% MAC 35. Convert 165 meters to 541 feet and 3 SM to 2.6 NM. So you are climbing 541 feet per 2.6 nautical miles. Divide to get 208 fpnm. Altitude climbed is 8000 ft. divided by 18 minutes equals 444 fpm. Fpm / fpnm = GS in knots / 60 444 / 208 = GS / 60 GS = 128 kts. 4

36. Simple density altitude problem. Accepted As Correct: 10,500 11,500 feet 37. Simple conversion. Accepted As Correct: 490 493 kilometers 38. Convert liters to pounds, then pounds to kilograms. Accepted As Correct: 367 373 kilograms 39. Convert 26 gph to 98.4 liters per hour. Divide by 60 minutes to get 1.64 lpm. Accepted As Correct: 1.60 1.68 lpm 40. Divide 300 by 4 quarts per gallon to get 75 gal. Multiply 75 x 8.35 = 626 lbs. Convert to 284 kg. Accepted As Correct: 282 286 kilograms 41. Altimeter settings can be given in millibars or hectopascals, which have a 1 to 1 conversion. Correct Answer: 1026.1 hpa (exactly) 42. 113 kmph x 1000 meters (per km) / 3600 seconds (per hour) to get 31.4 m/s. Accepted As Correct: 31.20 31.60 m/s 43. Refer to calculator side. Note 538 on outside scale. Turn inside scale until the same number appears under 538 and over the 10 of the inside scale. This alignment occurs twice on the scale, opposite each other: 23.2 and 7.3. Pick the one that makes sense for the given number. 20 x 20 = 400, so you know it s slightly more than 20, hence 23.2. If you were asked the square root of 53.8 the answer would be 7.3. If you were asked the square root of 5380 the answer would be 73. It alternates as the decimal moves. Accepted As Correct: 23.1 23.3 44. Simple temperature conversion. Accepted As Correct: 38.5 C 39.5 C 45. 5616 / 60 = 93.6 hours / 24 = 3.90 days Accepted As Correct: 3.80 4.00 days 5