ASTRO 1050 LAB #1: Scientific Notation, Scale Models, and Calculations

Size: px
Start display at page:

Download "ASTRO 1050 LAB #1: Scientific Notation, Scale Models, and Calculations"

Transcription

1 ASTRO 1050 LAB #1: Scientific Notation, Scale Models, and Calculations ABSTRACT We will be doing some review of Math concepts in this lab. Scientific notation, unit conversions, scale modeling, time to location calculations, algebra, angles and graphing are covered. Ping pong balls, meter sticks, protractors Materials 1. Scientific Notation Describing the universe requires some very big (and some very small) numbers. Such numbers are tough to write in long decimal notation, so we ll be using scientific notation. Scientific notation is written as a power of 10 in the form, m 10 e (1) where m is the mantissa and e is the exponent. The mantissa is a decimal number between 1.0 and and the exponent is an integer. To write numbers in scientific notation, move the decimal until only one digit appears to the left of the decimal. Count the number of places the decimal was moved and place that number in the exponent. For example, 540,000 = (2) or, in many calculators and computer programs this is written: 5.4E5 meaning 5.4 with the decimal moved 5 places to the right. Similarly, = (3) You get the idea. Now try it. Convert the following to scientific notation: = (4) = (5) Decimal Scientific Decimal Scientific ,000,000,

2 2 2. Arithmetic in Scientific Notation To multiply numbers in scientific notation, first multiply the mantissas and then add the exponents. For example, = ( ) = (6) To divide, divide the mantissas and then subtract the exponents. For example, Now try the following: = (6.4/3.2) = (7) ( ) ( ) = ( ) ( ) = ( ) / ( ) = ( ) / ( ) = Be careful if you need to add or subtract numbers in scientific notation! since, (8) = 4,000, = + 200, = 4,200, Converting Units I cannot stress the importance of this section enough; this is a skill you will be using throughout the course and will come in handy in everyday life. Often we make a measurement in one unit (such as meters) but some other unit is desired for a computation or answer (such as kilometers). You can use the tables in the appendix of your textbook (or the internet, or your instructor s materials) to find handy conversion factors from one unit to another. Example: You have 2,340,000,000,000 meters. How many kilometers is this? How many astronomical units? There are 1000 m per km, (1000 m/km). Because kilometers are larger than meters, we need fewer of them to specify the same distance, so divide the number of meters by the number of meters per kilometers and notice how the units cancel out and leave you with the desired result m 1000 m km = km. (9)

3 3 Another way to visualize this is like so: m 1 km 1000 m = km. (10) Similarly, to convert this number of meters to astronomical units, you would look up (in your textbook, for example) how many meters are in one astronomical unit ( ) and do the following: m 1 AU m = AU = 15.7 AU (11) A third way to think about this operation, is that you want fewer km than m, so just move the decimal place three to the left since there are 10 3 m per kilometer. Or, if the new desired unit is smaller, and you expect more of them, then multiply. For example, how many cm are there in 42 km? 42 km 10 5 cm km = cm. (12) Use the information in the appendix of your text (or the internet, or your instructor s materials) the convert the following: 50 km = m m = cm 52,600,000,000 km = m 300,000,000,000 km = AU m = ly 4500 parsecs = cm kg = g sun masses = kg 3450 seconds = min 99 min = hr 600 hours = days 1200 days = yr

4 4 4. Scale Models The Universe is such a big place, scale models are almost required to help visualize it and help it fit into our imagination. If we are going to represent Earth by a ping pong ball (diameter of 4.0 cm), how large should the planet Venus be? To make the scale model we need to look up the real size of Earth and Venus and use the method of ratios to find the model size of Venus km real Earth size = 4 cm model size (13) km real Venus size =? cm model size (14) Set up the ratio, and then solve for? (cross multiply and divide): km km = 4 cm? cm therefore,? cm = 4 cm km = 3.79 cm (15) km Now do the following: Real Size (km) Model Size (cm) The moon (diameter) The sun (diameter) The (average) distance from the sun to earth Jupiter (diameter) Table 1: Use the space below for calculations.

5 5 5. Time to travel Suppose you could travel at the speed of light, km/s. The distance, D, traveled in time, t, and speed, v, is: D = v t (km) = (km/hr) (hr) (km) = (km/s) (s) (m) = (m/s) (s) Notice that the units of time in v and in t must be the same, as must the units of distance in v and D, otherwise, we get nonsensical answers! Traveling at the speed of light, how long would it take to get from Earth to: Distance (km) Time (s, hr, or days) The Moon The Sun Mars (when closest to Earth) The nearest star (to the Sun) Table 2: Use the space below for calculations.

6 6 6. Calculations and Calculators Many of our attempts to describe the universe require some calculations that can be performed on a simple calculator (no need for graphing or calculus). Really, we ll just be adding and subtracting and multiplying and dividing numbers. Practice doing the following on your calculator, and ask your partners or instructor for help figuring out how to do it on your calculator, if necessary. 2 2 = 2 1/2 = 2 3 = 2 2/3 = 2 1 = 2 3/2 = ( ) 2 = = 10 2 = = 10 3 = 10 3/2 = = log(10) = log(100) = log(1000) =

7 7 7. Angles Often in astronomy we measure the size of things in the sky, or the motion of things across the sky, in terms of angles. In one circle there are 360 degrees. In one-half of a circle there are 180 degrees, etc. Degrees are subdivided into minutes of arc or arcminutes. There are 60 arcminutes in one degree. As an analogy, think of degrees as being like hours, and arcminutes like minutes- there are 60 minutes in an hour, and 60 arcminutes in a degree. Arcminutes are further subdivided into second of arc or arcseconds. As you might guess, there are 60 arcseconds in one arcminute. Continuing the analogy with time, there are 60 seconds in a minute, and 60 arcseconds in an arcminute. Convert the following: 12 arcminutes = degrees 6 arcseconds = degrees 12 degrees = arcminutes 55 arcmin = arcsec 360 degrees = arcmin 360 degrees = arcsec

8 8 8. Measurements and Graphing Measure the height and shoe length (we really mean foot length, but we don t want everyone taking off their shoes in lab...) and the length of the index fingernail of your lab mates, then record data in the table on the last page for everyone else in the lab. Do you expect to see a correlation between height and shoe length? Between height and nail length? Why or why not? Now plot these data on the graphs provided. Title the axes, axis numbers (scale) and make sure to plot the correct units. Height Height Which variables show correlations? What is the explanation for this correlation?

9 Table 3. Height Shoe Length Nail Length Height Shoe Length Nail Length (cm) (cm) (mm) (cm) (cm) (mm)

ASTRO 1050 Scientific Notation, Model Scales, and Calculations

ASTRO 1050 Scientific Notation, Model Scales, and Calculations ASTRO 1050 Scientific Notation, Model Scales, and Calculations The simple truth is, interstellar distances will not fit into the human imagination. - Douglas Adams Materials: Ping pong balls, meter sticks,

More information

PH104 Lab 2 Measuring Distances Pre-Lab

PH104 Lab 2 Measuring Distances Pre-Lab Name: Lab Time: PH04 Lab 2 Measuring Distances Pre-Lab 2. Goals This is the second lab. Like the first lab this lab does not seem to be part of a complete sequence of the study of astronomy, but it will

More information

Decimal Scientific Decimal Scientific

Decimal Scientific Decimal Scientific Experiment 00 - Numerical Review Name: 1. Scientific Notation Describing the universe requires some very big (and some very small) numbers. Such numbers are tough to write in long decimal notation, so

More information

1.1 Units and unit conversions

1.1 Units and unit conversions Fundamentals This chapter reviews four important mathematical concepts and techniques that will be helpful in many quantitative problems you re likely to encounter in a college-level introductory astronomy

More information

ASTR-1010: Astronomy I Course Notes Section I

ASTR-1010: Astronomy I Course Notes Section I ASTR-1010: Astronomy I Course Notes Section I Dr. Donald G. Luttermoser Department of Physics and Astronomy East Tennessee State University Edition 2.0 Abstract These class notes are designed for use of

More information

Lecture 3: Chapter 1- Charting the Heavens. Assignment: Read Chapter 1 of Astronomy Today

Lecture 3: Chapter 1- Charting the Heavens. Assignment: Read Chapter 1 of Astronomy Today Lecture 3: Chapter 1- Charting the Heavens Assignment: Read Chapter 1 of Astronomy Today 1.2 Scientific Theory and the Scientific Method Scientific number notation Measures of Distance 1.2 Scientific

More information

Introduction To Modern Astronomy I: Solar System

Introduction To Modern Astronomy I: Solar System ASTR 111 003 Fall 2007 Lecture 01 Aug. 27, 2007 Introduction To Modern Astronomy I: Solar System Introducing Astronomy (chap. 1-6) Planets and Moons (chap. 7-15) Chap. 16: Our Sun Chap. 28: Search for

More information

MATH EVALUATION. What will you learn in this Lab?

MATH EVALUATION. What will you learn in this Lab? MATH EVALUATION What will you learn in this Lab? This exercise is designed to assess whether you have been exposed to the mathematical methods and skills necessary to complete the lab exercises you will

More information

Chapter I Getting Your Bearings, Math Skills and The Sizes of Things

Chapter I Getting Your Bearings, Math Skills and The Sizes of Things Chapter I Getting Your Bearings, Math Skills and The Sizes of Things Finding sizes: As part of the first assignment, you will be finding sizes of things. You might need to find mass or radius or lifetime.

More information

PHYS133 Lab 1 Math Review

PHYS133 Lab 1 Math Review PHYS133 Lab 1 Goal: To review mathematical concepts that will be used in this course. What You Turn In: The worksheet in this manual. Background: This course requires the use of several concepts from high

More information

AST 301: What you will have to learn and get used to 1. Basic types of objects in the universe

AST 301: What you will have to learn and get used to 1. Basic types of objects in the universe AST 301: What you will have to learn and get used to 1. Basic types of objects in the universe Planets, stars, galaxies, a few things inbetween--look through your textbook soon! You will have to learn:

More information

MATH REFRESHER ANSWER SHEET (Note: Only this answer sheet and the following graph page will be evaluated)

MATH REFRESHER ANSWER SHEET (Note: Only this answer sheet and the following graph page will be evaluated) NAME: SCORE: /50 MATH REFRESHER ANSWER SHEET (Note: Only this answer sheet and the following graph page will be evaluated) 1. 23. 2. 24. 3. 25. 4. 26. 5. 27. 6. 28. 7. 29. 8. 30. 9. 31. 10. 32. 11. 33.

More information

Math Refresher Answer Sheet (NOTE: Only this answer sheet and the following graph will be evaluated)

Math Refresher Answer Sheet (NOTE: Only this answer sheet and the following graph will be evaluated) Name: Score: / 50 Math Refresher Answer Sheet (NOTE: Only this answer sheet and the following graph will be evaluated) 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. MAKE SURE CALCULATOR

More information

PARALLAX AND PROPER MOTION

PARALLAX AND PROPER MOTION PARALLAX AND PROPER MOTION What will you learn in this Lab? We will be introducing you to the idea of parallax and how it can be used to measure the distance to objects not only here on Earth but also

More information

Lab 2: Angles and other needed math (or the history of astronomy)

Lab 2: Angles and other needed math (or the history of astronomy) Astronomy 101 Name(s): Lab 2: Angles and other needed math (or the history of astronomy) Purpose: This lab is an overview of much of the math skills you will need for this course. As I hope you will see

More information

Chapter I Getting Your Bearings, Math Skills and The Sizes of Things

Chapter I Getting Your Bearings, Math Skills and The Sizes of Things Chapter I Getting Your Bearings, Math Skills and The Sizes of Things Finding sizes: As part of our introduction to astronomy, you will be finding sizes of things and plotting the items. Part of the point

More information

Lecture 1. ASTR 111 Section 002 Introductory Astronomy Solar System. Dr. Weigel. Outline. Course Overview Topics. Course Overview General Information

Lecture 1. ASTR 111 Section 002 Introductory Astronomy Solar System. Dr. Weigel. Outline. Course Overview Topics. Course Overview General Information Lecture 1 Course Overview Topics ASTR 111 Section 002 Introductory Astronomy Solar System Dr. Weigel Outline 1.1 Course Overview 1.2 Course Logistics and Syllabus 1.3 Angular Measurements 1.4 Accuracy

More information

Phys 100 Astronomy (Dr. Ilias Fernini) Review Questions for Chapter 1

Phys 100 Astronomy (Dr. Ilias Fernini) Review Questions for Chapter 1 Phys 100 Astronomy (Dr. Ilias Fernini) Review Questions for Chapter 1 MULTIPLE CHOICE (Right answers are reported in red) 1.. A solar system contains a. primarily planets. b. large amounts of gas and dust

More information

2018 Arizona State University Page 1 of 16

2018 Arizona State University Page 1 of 16 NAME: MATH REFRESHER ANSWER SHEET (Note: Write all answers on this sheet and the following graph page.) 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27.

More information

Chapter 3. Math for Astronomy Review

Chapter 3. Math for Astronomy Review Chapter 3 Math for Astronomy Review Astronomy is very much a mathematical science. Astronomers cannot go out into the field like geologists. Nor can they do many tabletop experiments like physicists. Astronomers

More information

Characterizing Stars

Characterizing Stars Characterizing Stars The stars Every star you see in the sky is a large hot ball of gas like our star the Sun. Each one possibly making up a solar system with planets and debris orbiting around them. Stellar

More information

Lab 8: Measuring Distances Using Parallax

Lab 8: Measuring Distances Using Parallax Lab 8: Measuring Distances Using Parallax Names: 8.1.1 Parallax in the classroom Measure each object s shift THREE TIMES, and then take the average. Try to measure to the nearest fraction of a tick mark.

More information

Ch. 1, Physics & Measurement

Ch. 1, Physics & Measurement Ch. 1, Physics & Measurement Outline Ch. 1, Physics & Measurement 1. Physics is an experimental science Measurements Units 2. Physics is a quantitative science Mathematics Algebra & Calculus 3. International

More information

A. Incorrect! Check your algebra when you solved for volume. B. Incorrect! Check your algebra when you solved for volume.

A. Incorrect! Check your algebra when you solved for volume. B. Incorrect! Check your algebra when you solved for volume. AP Chemistry - Problem Drill 03: Basic Math for Chemistry No. 1 of 10 1. Unlike math problems, chemistry calculations have two key elements to consider in any number units and significant figures. Solve

More information

Astronomy 102 Math Review

Astronomy 102 Math Review Astronomy 102 Math Review 2003-August-06 Prof. Robert Knop r.knop@vanderbilt.edu) For Astronomy 102, you will not need to do any math beyond the high-school alegbra that is part of the admissions requirements

More information

Scientific Notation. exploration. 1. Complete the table of values for the powers of ten M8N1.j. 110 Holt Mathematics

Scientific Notation. exploration. 1. Complete the table of values for the powers of ten M8N1.j. 110 Holt Mathematics exploration Georgia Performance Standards M8N1.j 1. Complete the table of values for the powers of ten. Exponent 6 10 6 5 10 5 4 10 4 Power 3 10 3 2 10 2 1 1 0 2 1 0.01 10 10 1 10 1 1 1 0 1 1 0.1 10 0

More information

= cm = 30.5 cm. in. = 39 in. = 380,000. = 150, 000, 000 km. 1 mi. = 1, 800 arcsec

= cm = 30.5 cm. in. = 39 in. = 380,000. = 150, 000, 000 km. 1 mi. = 1, 800 arcsec Chapter 1 Exercise Solutions 1. a) 1 in 2.54 cm or 2.54 cm 1 in b) 1.6 km 1 mi or 1 mi 1.6 km c) 60 arcmin 3600 arcsec or 3600 arcsec 60 arcmin 2. a) 12 in. 2.54 cm 12 2.54 cm 30.5 cm 1 in. b) 100 cm 1

More information

Lesson 1.3: Algebra and Scientific Notation with Small Numbers

Lesson 1.3: Algebra and Scientific Notation with Small Numbers Specific Objectives Students will understand that in algebra, numbers and variables can be combined to produce expressions, equations and inequalities. numbers between 0 and 1 can be written using scientific

More information

AST 301: Topics for today!

AST 301: Topics for today! AST 301: Topics for today! 1.! Syllabus. You should have read the syllabus in detail. So only brief questions about course, grading, etc. today.!!!go to the course web site and bookmark it as soon as possible.!

More information

Astronomy 1143 Homework 1

Astronomy 1143 Homework 1 Astronomy 43 Homework October 7, 205. Two Martian astronomers, Marvin and Marla, are located due north and south of each other on the planet Mars. Marvin sees the Sun directly overhead (at the zenith)

More information

Astronomy & Space Physics: Some Important Concepts and Numbers

Astronomy & Space Physics: Some Important Concepts and Numbers Astronomy & Space Physics: Some Important Concepts and Numbers A Few Words of Introduction: Before we talk about what this class is all about, let s clear up some misconceptions that many students have

More information

b) Rectangular box: length L, width W, height H, volume: V = LWH, cube of side s, V = s 3

b) Rectangular box: length L, width W, height H, volume: V = LWH, cube of side s, V = s 3 Basic Math Review for PHYS 100 - Physics of Everyday Experience ----------------------------------------------------------------------------------------------------- Basic Algebra a) If x = y + z, then:

More information

Introduction to Mechanics Unit Conversions Order of Magnitude

Introduction to Mechanics Unit Conversions Order of Magnitude Introduction to Mechanics Unit Conversions Order of Magnitude Lana Sheridan De Anza College Sept 28, 2017 Last time symbols for scaling units scientific notation precision and accuracy dimensional analysis

More information

A Walk Across the Solar System

A Walk Across the Solar System A Walk Across the Solar System Subject Area: Earth Science and Mathematics Grade Level: Grades 4 and 8 Lesson Objective: Duration: Students will help create a model of the solar system in which the scale

More information

Lab #2: Parallax & Introduction to Error Analysis

Lab #2: Parallax & Introduction to Error Analysis Lab #: Parallax & Introduction to Error Analysis February 6, 0 Due February 0, 0 by am Objectives: To understand and apply the techniques of parallax to measure the distances to terrestrial objects. To

More information

Astronomy 111. Dr. Joseph E. Pesce, Ph.D. Introduction. Introduction 8/28/14. Astronomy & Astrophysics. Our understanding is based on laws of physics:

Astronomy 111. Dr. Joseph E. Pesce, Ph.D. Introduction. Introduction 8/28/14. Astronomy & Astrophysics. Our understanding is based on laws of physics: 8/28/14 Astronomy 111 Dr. Joseph E. Pesce, Ph.D. 1-4 Introduction Astronomy & Astrophysics Introduction ASTRON = Star NOMOS = Law PHYSIC = Nature 1-5 ³ Astronomy: observable properties of objects in the

More information

Large and Small Numbers

Large and Small Numbers Astronomy Basics Large and Small Numbers Astronomers work with very large and very small numbers. For example: The radius of the sun is 70,000,000,000 centimeters The mass of the sun is 20,000,000,000,000,000,000,000,000,000,000,000

More information

What is Crater Number Density?

What is Crater Number Density? Ronald Wilhelm & Jennifer Wilhelm, University of Kentucky 2008 What is Crater Number Density? REAL Curriculum Crater Number Density Today we will learn some math that is necessary in order to learn important

More information

Start with known facts and reasonable guesses. More on order of magnitude Astronomy How many piano tuners are there in Boulder County?

Start with known facts and reasonable guesses. More on order of magnitude Astronomy How many piano tuners are there in Boulder County? ASTR 101 Introduction to Astronomy: Stars & Galaxies Prof. Rosalba Perna TA: Cameron Clarke http://amalfi.astrosunysb.edu/rosalba/ast101/ast101.html MAKE SURE TO GO OVER THE SYLLABUS (if you haven t already

More information

Distance and Size of a Celestial Body

Distance and Size of a Celestial Body PHYS 320 Lecture 2 Distance and Size of a Celestial Body Jiong Qiu MSU Physics Department Wenda Cao NJIT Physics Department Outline q Lecture 2 Distance and Size of a Celestial Body n n n n n n n n 2.1

More information

Objectives. Vocabulary. 1-5 Properties of Exponents. 1.5: Properties of Exponents. Simplify expressions involving exponents. Use scientific notation.

Objectives. Vocabulary. 1-5 Properties of Exponents. 1.5: Properties of Exponents. Simplify expressions involving exponents. Use scientific notation. Starter 1.5 HW 1.???, Short Quiz 1. & 1.4 Simplify. 1. 4 4 4 64 2.. 20 4. Objectives Simplify expressions involving exponents. Use 5. 6. 10 5 100,000 7. 10 4 0,000 scientific notation Vocabulary In an

More information

Section 4.7 Scientific Notation

Section 4.7 Scientific Notation Section 4.7 Scientific Notation INTRODUCTION Scientific notation means what it says: it is the notation used in many areas of science. It is used so that scientist and mathematicians can work relatively

More information

1. Which of the following best represents the speed of a banana slug?

1. Which of the following best represents the speed of a banana slug? Scientific Notation 1. Which of the following best represents the speed of a banana slug? A. 2 10-5 kilometers per second B. 2 10 5 meters per second C. 2 10-5 meters per second D. 2 10 5 kilometers per

More information

1 - Astronomical Tools

1 - Astronomical Tools ASTR 110L 1 - Astronomical Tools Purpose: To learn fundamental tools astronomers use on a daily basis. Turn in all 13 problems on a separate sheet. Due in one week at the start of class. Units All physical

More information

Astronomy 10 Introduction to the Solar System

Astronomy 10 Introduction to the Solar System Astronomy 10 Introduction to the Solar System http://lpc1.clpccd.cc.ca.us/lpc/murray/astro10/a10intro.htm This is your source for all things in this class: 1. Grading policies. 2. What topics we ll covering.

More information

Name: Earth 110 Exploration of the Solar System Assignment 1: Celestial Motions and Forces Due on Tuesday, Jan. 19, 2016

Name: Earth 110 Exploration of the Solar System Assignment 1: Celestial Motions and Forces Due on Tuesday, Jan. 19, 2016 Name: Earth 110 Exploration of the Solar System Assignment 1: Celestial Motions and Forces Due on Tuesday, Jan. 19, 2016 Why are celestial motions and forces important? They explain the world around us.

More information

Measurements, Sig Figs and Graphing

Measurements, Sig Figs and Graphing Measurements, Sig Figs and Graphing Chem 1A Laboratory #1 Chemists as Control Freaks Precision: How close together Accuracy: How close to the true value Accurate Measurements g Knowledge Knowledge g Power

More information

Galaxy Classification and the Hubble Deep Field

Galaxy Classification and the Hubble Deep Field Galaxy Classification and the Hubble Deep Field A. The Hubble Galaxy Classification Scheme Adapted from the UW Astronomy Dept., 1999 Introduction A galaxy is an assembly of between a billion (10 9 ) and

More information

The Hubble Deep Field

The Hubble Deep Field The Hubble Deep Field Introduction This is a picture of the Hubble Deep Field (HDF). The deepest image of the sky ever taken, it was made in 1996 using the Hubble Space Telescope by effectively leaving

More information

The Mass of Jupiter Student Guide

The Mass of Jupiter Student Guide The Mass of Jupiter Student Guide Introduction: In this lab, you will use astronomical observations of Jupiter and its satellites to measure the mass of Jupiter. We will use the program Stellarium to simulate

More information

Phy 100 s Lab - Measurement techniques for mass, size and density. Name Course & Sec. Lab Partner

Phy 100 s Lab - Measurement techniques for mass, size and density. Name Course & Sec. Lab Partner Phy 100 s Lab - techniques for mass, size and density. Name Course & Sec Lab Partner Date 1. You should have a metal block and a metal cylinder both made of the same material. If you are unsure if the

More information

Distance From the Sun

Distance From the Sun Distance From the Sun Computer 32 Have you ever thought about what it would be like if you were on another planet looking back at the sun? In this activity, you will use the Light Probe to get an idea

More information

How big is the Universe and where are we in it?

How big is the Universe and where are we in it? Announcements Results of clicker questions from Monday are on ICON. First homework is graded on ICON. Next homework due one minute before midnight on Tuesday, September 6. Labs start this week. All lab

More information

Lecture 2. ASTR 111 Section 002 Introductory Astronomy: Solar System. Dr. Weigel

Lecture 2. ASTR 111 Section 002 Introductory Astronomy: Solar System. Dr. Weigel Lecture 2 ASTR 111 Section 002 Introductory Astronomy: Solar System Dr. Weigel Reading for this week The reading for this week is Chapter 1 (all) and Chapter 2 (sections 2.1 2.2 only) The quiz will cover

More information

Required Material. Required Material. Pre-Course Assessment 1/27/09. Textbook: The Cosmic Perspective, 5 th edition by Bennett et al.

Required Material. Required Material. Pre-Course Assessment 1/27/09. Textbook: The Cosmic Perspective, 5 th edition by Bennett et al. Astronomy 104 -- Astronomy of the Solar System Spring 2009, TR 11:10-12:30, TCCW129 Instructor: Dr. Ting-Hui Lee Office: TCCW 215 Phone: 745-6472 E-mail: ting-hui.lee@wku.edu Office hours: W 10:00-11:45,

More information

Required Material. Required Material 1/27/09. Textbook: The Cosmic Perspective, 5 th edition by Bennett et al.

Required Material. Required Material 1/27/09. Textbook: The Cosmic Perspective, 5 th edition by Bennett et al. Astronomy 104 -- Astronomy of the Solar System Spring 2009, TR 11:10-12:30, TCCW129 Instructor: Dr. Ting-Hui Lee Office: TCCW 215 Phone: 745-6472 E-mail: ting-hui.lee@wku.edu Office hours: W 10:00-11:45,

More information

PHY2083 ASTRONOMY. Dr. Rubina Kotak Office F016. Dr. Chris Watson Office S036

PHY2083 ASTRONOMY. Dr. Rubina Kotak Office F016. Dr. Chris Watson Office S036 PHY2083 ASTRONOMY Dr. Rubina Kotak r.kotak@qub.ac.uk Office F016 Dr. Chris Watson c.a.watson@qub.ac.uk Office S036 PHY2083 ASTRONOMY Weeks 1-6: Monday 10:00 DBB 0G.005 Wednesday 9:00 PFC 02/018 Friday

More information

Astronomy 153 & 154 Lab 2 Excel, Units and Conversions + Angles and Coordinates

Astronomy 153 & 154 Lab 2 Excel, Units and Conversions + Angles and Coordinates Astronomy 153 & 154 Lab 2 Excel, Units and Conversions + Angles and Coordinates In Astronomy lab, there are important skills and concepts that students will need to use and understand in order to complete

More information

Astronomy 9 Concepts of the Cosmos

Astronomy 9 Concepts of the Cosmos Astronomy 9 Concepts of the Cosmos Monday/Wednesday, 1:30-2:45 pm, Cabot Auditorium LECTURE 2: I.Our Place in the Universe Lecture on Mon., Feb. 1 st Pre-course Test - REQUIRED! (if you want the attendance

More information

Extrasolar Planets. Materials Light source to mimic star Ball to mimic planet Light meter Interface

Extrasolar Planets. Materials Light source to mimic star Ball to mimic planet Light meter Interface Name: Date: Extrasolar Planets Objectives: Learn about Extrasolar planets planets orbiting other stars Explain how astronomers detect and characterize Extrasolar planets Materials Light source to mimic

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

Astronomy Using scientific calculators

Astronomy Using scientific calculators Astronomy 113 - Using scientific calculators 0. Introduction For some of the exercises in this lab you will need to use a scientific calculator. You can bring your own, use the few calculators available

More information

Section 20: Arrow Diagrams on the Integers

Section 20: Arrow Diagrams on the Integers Section 0: Arrow Diagrams on the Integers Most of the material we have discussed so far concerns the idea and representations of functions. A function is a relationship between a set of inputs (the leave

More information

Planets, Stars and Galaxies Section 1 Mon. & Weds. 3:35-4:50. Prof. Todd Adams. Welcome! Department of Physics Florida State University

Planets, Stars and Galaxies Section 1 Mon. & Weds. 3:35-4:50. Prof. Todd Adams. Welcome! Department of Physics Florida State University Planets, Stars and Galaxies Section 1 Mon. & Weds. 3:35-4:50 Prof. Todd Adams Welcome! Department of Physics Florida State University Astronomy is the study of objects beyond the Earth s atmosphere and

More information

Proton. Size of cell. 100 = 10 2, so the logarithm of 100 is 2, written Log 100= 2

Proton. Size of cell. 100 = 10 2, so the logarithm of 100 is 2, written Log 100= 2 Homework 1 Date Due Name You will be making a chart of the sizes of things in the Universe. It should come out similar to Figure., but more precise. The plot you will be working on is at the end of this

More information

Math 90 Lecture Notes Chapter 1

Math 90 Lecture Notes Chapter 1 Math 90 Lecture Notes Chapter 1 Section 1.1: Introduction to Algebra This textbook stresses Problem Solving! Solving problems is one of the main goals of mathematics. Think of mathematics as a language,

More information

1 Read the title and the first two paragraphs of this extract of a text. Then check ( ) the correct answers.

1 Read the title and the first two paragraphs of this extract of a text. Then check ( ) the correct answers. Reading 1 Read the title and the first two paragraphs of this extract of a text. Then check ( ) the correct answers. / 0.4 point What is the main objective of the text? a. To present information about

More information

ASTR 310 Tutorial 3: A Human Orrery

ASTR 310 Tutorial 3: A Human Orrery ASTR Tutorial : A Human Orrery An orrery is a mechanical model of the Solar System. When you turn a crank, the planets and moons orbit the Sun at correctly-scaled distances with correctly-scaled periods.

More information

Astronomy 311 Professor Menningen January 2, Syllabus overview books & supplies course goals assignments & grading About the professor

Astronomy 311 Professor Menningen January 2, Syllabus overview books & supplies course goals assignments & grading About the professor 1 Astronomy 311 Professor Menningen January 2, 2014 Syllabus overview books & supplies course goals assignments & grading About the professor 2 How to Learn Astronomy Stay curious Interact with the same

More information

GEOL212 Due 9/24/18 Homework 4

GEOL212 Due 9/24/18 Homework 4 GEOL212 Due 9/24/18 Homework 4 General instructions: Although you are allowed to discuss homework questions with your classmates, your work must be uniquely your own. Thus, please answer all questions

More information

ASTRO 1050 LAB #9: Parallax and Angular Size-Distance relations

ASTRO 1050 LAB #9: Parallax and Angular Size-Distance relations ASTRO 1050 LAB #9: Parallax and Angular Size-Distance relations ABSTRACT Parallax is the name given to the technique astronomers use to find distances to the nearby stars. You will calibrate their own

More information

Notes: Unit 1: Math and Measurement

Notes: Unit 1: Math and Measurement Name: Regents Chemistry: Notes: Unit 1: Math and Measurement www.chempride.weebly.com Key Ideas Major Understandings: o Chemistry is the study of matter: Matter takes up space and has mass. (K- 4, 3.1a)

More information

Notes: Unit 1: Math and Measurement

Notes: Unit 1: Math and Measurement Name: Regents Chemistry: Notes: Unit 1: Math and Measurement www.chempride.weebly.com Key Ideas Major Understandings: o Chemistry is the study of matter: Matter takes up space and has mass. (K- 4, 3.1a)

More information

LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS

LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS LABORATORY II DESCRIPTION OF MOTION IN TWO DIMENSIONS This laboratory allows you to continue the study of accelerated motion in more realistic situations. The cars you used in Laboratory I moved in only

More information

Measurement and Uncertainty

Measurement and Uncertainty Measurement and Uncertainty Name: Date: Block: There is uncertainty in every measurement due to of accuracy and precision. Accuracy: how close the instrument measures to an accepted. Precision: how closely

More information

Math Topic: Unit Conversions and Statistical Analysis of Data with Categorical and Quantitative Graphs

Math Topic: Unit Conversions and Statistical Analysis of Data with Categorical and Quantitative Graphs Math Topic: Unit Conversions and Statistical Analysis of Data with Categorical and Quantitative Graphs Science Topic: s/dwarf s of our Solar System Written by: Eric Vignaud and Lexie Edwards Lesson Objectives

More information

Astronomy Studio Exercise Geocentric and Heliocentric World Views Guy Worthey

Astronomy Studio Exercise Geocentric and Heliocentric World Views Guy Worthey Astronomy Studio Exercise Geocentric and Heliocentric World Views Guy Worthey We explore in some detail how the geocentric cosmology worked, and what observations caused the adoption of the heliocentric

More information

Status: Unit 1, Chapter 1

Status: Unit 1, Chapter 1 1 Status: Unit 1, Chapter 1 Measurement, Uncertainty, & Significant Figures Units, Standards and the SI System Converting Units Necessary given the U.S. system isolation.. Can be tragic: consider the 1999

More information

The Scientific Method, or How Big is the Sun?

The Scientific Method, or How Big is the Sun? The Scientific Method, or How Big is the Sun? Learning Objectives! What is empiricism? What is objectivity?! What are the main principles of the scientific method? What is Occam s Razor?! Why do the principles

More information

Astronomy 1143 Quiz 1 Review

Astronomy 1143 Quiz 1 Review Astronomy 1143 Quiz 1 Review Prof. Pradhan September 7, 2017 I What is Science? 1. Explain the difference between astronomy and astrology. Astrology: nonscience using zodiac sign to predict the future/personality

More information

IB Scale 1 through 7

IB Scale 1 through 7 IB Scale 1 through 7 Physics Exam? How has IB Physics changed? IA no longer comprised of several lab reports, just one 10 hour paper New topic: Nature of Science Only one option instead of two What hasn

More information

KNOWLEDGE TO GET FROM TODAY S CLASS MEETING

KNOWLEDGE TO GET FROM TODAY S CLASS MEETING KNOWLEDGE TO GET FROM TODAY S CLASS MEETING Class Meeting #5, Friday, January 29 th, 2016 1) GRAVITY: (text pages 111-112, 123) 2) Isaac Newton s LAWS of MOTION (briefly) (text pages 115-117) 3) Distances

More information

Today is Thursday, February 11 th, 2016

Today is Thursday, February 11 th, 2016 In This Lesson: Scientific Notation and Unit Analysis (Lesson 4 of 6) Today is Thursday, February 11 th, 2016 Stuff You Need: Calculator Paper Towel Pre-Class: By now you ve probably heard of scientific

More information

Unit One Math and Measurments Don t worry about your difficulties in mathematics, I can assure you that mine are still greater.

Unit One Math and Measurments Don t worry about your difficulties in mathematics, I can assure you that mine are still greater. Galena High School Unit One Math and Measurments Don t worry about your difficulties in mathematics, I can assure you that mine are still greater. Albert Einstein 1 Unit 1 Math and Measurement Supplements

More information

ASTROMATH 101: BEGINNING MATHEMATICS IN ASTRONOMY

ASTROMATH 101: BEGINNING MATHEMATICS IN ASTRONOMY Name Partner(s) Section Date ASTROMATH 101: BEGINNING MATHEMATICS IN ASTRONOMY Astronomers deal with very, very large distances, some incredible temperatures, and even really, really small wavelengths.

More information

KNOWLEDGE TO GET FROM TODAY S CLASS MEETING

KNOWLEDGE TO GET FROM TODAY S CLASS MEETING KNOWLEDGE TO GET FROM TODAY S CLASS MEETING Class Meeting #6, Monday, February 1 st, 2016 1) GRAVITY: finish up from Fri, Jan 29 th (pages 111-112, 123) 2) Isaac Newton s LAWS of MOTION (briefly) (pages

More information

Sequences and infinite series

Sequences and infinite series Sequences and infinite series D. DeTurck University of Pennsylvania March 29, 208 D. DeTurck Math 04 002 208A: Sequence and series / 54 Sequences The lists of numbers you generate using a numerical method

More information

Don t forget to turn in all graphs and the objective and conclusion.

Don t forget to turn in all graphs and the objective and conclusion. Mathematics and Problem Solving In this lab, you will be applying your knowledge of mathematics to scientific and astronomical problems. It is NOT a test. DO work with your friends and check your results

More information

Physics Lab #10:! Stellar Parallax!

Physics Lab #10:! Stellar Parallax! opposite Physics 10293 Lab #10: Stellar Parallax Introduction Parallax is a distance determination technique that uses geometry to measure the distance to some object when other means (such as a ruler

More information

Precision and Accuracy. Learning Targets: Unit 2.1 To determine the degree of precision of a measurement.

Precision and Accuracy. Learning Targets: Unit 2.1 To determine the degree of precision of a measurement. Precision and Accuracy Learning Targets: Unit.1 To determine the degree of precision of a measurement. We often use numbers that are not exact. Measurements are approximate there is no such thing as a

More information

A Review of the Mathematics Used In AST 301

A Review of the Mathematics Used In AST 301 A Review of the Mathematics Used In AST 301 1 Units If you say that a car is traveling at a speed of 70, most people in the United States will assume you mean 70 miles per hour. In Europe Mexico, though,

More information

HSC General Maths. Name: Tracey Hughes-Butters 2011 Mathtastic Learning GENERAL MATHEMATICS NOTES HSC ALGEBRAIC MODELLING 3

HSC General Maths. Name: Tracey Hughes-Butters 2011 Mathtastic Learning GENERAL MATHEMATICS NOTES HSC ALGEBRAIC MODELLING 3 Allgebraic Modelllling 3 Notes... HSC General Maths Name: Tracey Hughes-Butters 011 Mathtastic Learning 1 HSC CAPACITY MATRIX GENERAL MATHEMATICS TOPIC: Algebraic Modelling 3 & 4a Algebra skills & Linear

More information

Selecting an Observing Target

Selecting an Observing Target Chapter 2: Selecting an Observing Target Selection Criteria There are several factors that must be considered when selecting a target to observe: Is the target visible from Winnipeg? For what dates is

More information

ABE Math Review Package

ABE Math Review Package P a g e ABE Math Review Package This material is intended as a review of skills you once learned and wish to review before your assessment. Before studying Algebra, you should be familiar with all of the

More information

PHY 101L - Experiments in Mechanics

PHY 101L - Experiments in Mechanics PHY 101L - Experiments in Mechanics introduction to error analysis What is Error? In everyday usage, the word error usually refers to a mistake of some kind. However, within the laboratory, error takes

More information

Astronomy 102 Lab: Stellar Parallax and Proper Motion

Astronomy 102 Lab: Stellar Parallax and Proper Motion Name: Astronomy 102 Lab: Stellar Parallax and Proper Motion If you own a laptop, please bring it to class. You will use Stellarium again. The Stellarium shortcuts you used in the first lab are on the inside

More information

Measurement: Length, Area and Volume Part I

Measurement: Length, Area and Volume Part I IDS 101 Name Measurement: Length, Area and Volume Part I If we ask someone the size of a common object, such as a dime or penny, most people come pretty close to the actual size. However, objects that

More information

APS 1030 Astronomy Lab 79 Kepler's Laws KEPLER'S LAWS

APS 1030 Astronomy Lab 79 Kepler's Laws KEPLER'S LAWS APS 1030 Astronomy Lab 79 Kepler's Laws KEPLER'S LAWS SYNOPSIS: Johannes Kepler formulated three laws that described how the planets orbit around the Sun. His work paved the way for Isaac Newton, who derived

More information

PHYSICS 107. Lecture 3 Numbers and Units

PHYSICS 107. Lecture 3 Numbers and Units Numbers in Physics PHYSICS 107 Lecture 3 Numbers and Units We've seen already that even 2500 years ago Aristotle recognized that lengths and times are magnitudes, meaning that any length or time can be

More information

Using Scientific Measurements

Using Scientific Measurements Section 3 Main Ideas Accuracy is different from precision. Significant figures are those measured precisely, plus one estimated digit. Scientific notation is used to express very large or very small numbers.

More information