DOCSLIB.ORG

Physics 1200 Mechanics, Kinematics, Fluids, Waves • Lecturer: Tom Humanic

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Physics 1200 Mechanics, Kinematics, Fluids, Waves • Lecturer: Tom Humanic Physics 1200 Mechanics, Kinematics, Fluids, Waves • Lecturer: Tom Humanic • Contact info: Office: Physics Research Building, Rm. 2144 Email: [email protected] Phone: 614 247 8950 • Office hours: Tuesday 3:00 pm, Wednesday 11:00 am My lecture slides may be found on my website at http://www.physics.ohio-state.edu/~humanic/ Chapter 1 Measurement, units, … Units SI units meter (m): unit of length kilogram (kg): unit of mass second (s): unit of time Units The Role of Units in Problem Solving THE CONVERSION OF UNITS 1 ft = 0.3048 m 1 mi = 1.609 km 1 hp = 746 W 1 liter = 10-3 m3 The Role of Units in Problem Solving Example: Interstate Speed Limit Express the speed limit of 65 miles/hour in terms of meters/second. Use 5280 feet = 1 mile and 3600 seconds = 1 hour and 3.281 feet = 1 meter. & miles # & miles #& 5280 feet #& 1 hour # feet Speed = $65 !(1)(1)= $65 !$ !$ != 95 % hour " % hour "% mile "% 3600 s " second & feet # & feet #& 1 meter # meters Speed = $95 !(1)= $95 !$ ! = 29 % second " % second "% 3.281 feet " second Scalars and Vectors A scalar quantity is one that can be described by a single number: temperature, speed, mass A vector quantity deals inherently with both magnitude and direction: velocity, force, displacement Chapter 2 Kinematics in One Dimension Displacement 1 dimensional motion: the car can only travel either to the left or right -x +x xo = initial position vector x = final position vector Δx = x − xo = displacement vector Displacement xo = 2.0 m Δx = 5.0 m x = 7.0 m Δx = x − xo = 7.0 m − 2.0 m = 5.0 m Speed and Velocity Average speed is the distance traveled divided by the time required to cover the distance. Distance Average speed = Elapsed time SI units for speed: meters per second (m/s) Speed and Velocity Example: Distance Run by a Jogger How far does a jogger run in 1.5 hours (5400 s) if his average speed is 2.22 m/s? Distance Average speed = Elapsed time Distance = (Average speed)(Elapsed time) = (2.22 m s)(5400 s)=12000 m Speed and Velocity Average velocity is the displacement divided by the elapsed time. Displacement Average velocity = Elapsed time x − x Δx v = o = t − to Δt Speed and Velocity Example: The World’s Fastest Jet-Engine Car Andy Green in the car ThrustSSC set a world record of 341.1 m/s in 1997. To establish such a record, the driver makes two runs through the course, one in each direction, to nullify wind effects. From the data, determine the average velocity for each run. Δx +1609 m v = = = +339.5m s Δt 4.740 s Δx −1609 m v = = = −342.7 m s Δt 4.695 s Speed and Velocity The instantaneous velocity indicates how fast the car moves and the direction of motion at each instant of time. Δx v = lim Δt→0 Δt Acceleration DEFINITION OF AVERAGE ACCELERATION v − vo Δv a = = SI unit: m/s2 t − to Δt DEFINITION OF INSTANTANEOUS ACCELERATION Δv a = lim Δt→0 Δt Acceleration Example: Acceleration and Increasing Velocity Determine the average acceleration of the plane. v 0 km h o = v = 260km h to = 0 s t = 29 s v − v 260km h − 0km h km h a = o = = +9.0 t − to 29 s − 0 s s Acceleration Equations of Kinematics for Constant Acceleration x − xo v − v v = a = o t − t o t − to For 1-dimensional motion it is customary to dispense with the use of boldface symbols overdrawn with arrows for the displacement, velocity, and acceleration vectors. We will, however, continue to convey the directions with a plus or minus sign. _ x − x _ v − v v = o a = o t − to t − to Equations of Kinematics for Constant Acceleration Let the object be at the origin when the clock starts. xo = 0 to = 0 x − x x v = o v = t t t − o True for constant acceleration 1 x = vt = 2 (vo + v)t Equations of Kinematics for Constant Acceleration True for constant acceleration v − v v − v a = a = o a = o t − to t at = v − vo v = vo + at Equations of Kinematics for Constant Acceleration Five kinematic variables: 1. displacement, x 2. acceleration (constant), a 3. final velocity (at time t), v 4. initial velocity, vo 5. elapsed time, t Equations of Kinematics for Constant Acceleration v = vo + at 1 1 x = 2 (vo + v)t = 2 (vo + vo + at)t 1 2 x = vot + 2 at Equations of Kinematics for Constant Acceleration Boat moving with constant acceleration --> find x 1 2 x = vot + 2 at 1 2 2 = (6.0m s)(8.0 s)+ 2 (2.0m s )(8.0 s) = +110 m Equations of Kinematics for Constant Acceleration Example: Catapulting a Jet Find its displacement. 2 vo = 0m s a = +31m s x = ?? v = +62m s Equations of Kinematics for Constant Acceleration v − vo v − v a = t = o t a 1 1 (v − vo ) x = (vo + v)t = (vo + v) 2 2 a v2 − v2 x = o 2a Equations of Kinematics for Constant Acceleration 2 2 2 2 v − vo (62m s) − (0m s) x = = = +62 m 2a 2(31m s2 ) Equations of Kinematics for Constant Acceleration Equations of Kinematics for Constant Acceleration v = vo + at 1 x = 2 (vo + v)t 2 2 v = vo + 2ax 1 2 x = vot + 2 at Applications of the Equations of Kinematics Reasoning Strategy 1. Make a drawing. 2. Decide which directions are to be called positive (+) and negative (-). 3. Write down the values that are given for any of the five kinematic variables. 4. Verify that the information contains values for at least three of the five kinematic variables. Select the appropriate equation. 5. When the motion is divided into segments, remember that the final velocity of one segment is the initial velocity for the next. 6. Keep in mind that there may be two possible answers to a kinematics problem. Applications of the Equations of Kinematics Example: An Accelerating Spacecraft A spacecraft is traveling with a velocity of +3250 m/s. Suddenly the retrorockets are fired, and the spacecraft begins to slow down with an acceleration whose magnitude is 10.0 m/s2. What is the velocity of the spacecraft when the displacement of the craft is +215 km, relative to the point where the retrorockets began firing? x a v vo t +215000 m -10.0 m/s2 ? +3250 m/s Applications of the Equations of Kinematics x a v vo t +215000 m -10.0 m/s2 ? +3250 m/s 2 2 2 v = vo + 2ax v = ± vo + 2ax v = ± (3250m s)2 _+ 2(10.0m s2 )(215000 m) = ±2500m s Applications of the Equations of Kinematics Freely Falling Bodies In the absence of air resistance, it is found that all bodies at the same location above the Earth fall vertically with the same acceleration. If the distance of the fall is small compared to the radius of the Earth, then the acceleration remains essentially constant throughout the descent. This idealized motion is called free-fall and the acceleration of a freely falling body is called the acceleration due to gravity. g = 9.80m s2 or 32.2ft s2 Freely Falling Bodies g = 9.80m s2 Freely Falling Bodies Example: A Falling Stone A stone is dropped from the top of a tall building. After 3.00s of free fall, what is the displacement y of the stone? Freely Falling Bodies y a v vo t ? -9.80 m/s2 0 m/s 3.00 s Freely Falling Bodies y a v vo t ? -9.80 m/s2 0 m/s 3.00 s 1 2 y = vot + 2 at 1 2 2 = (0m s)(3.00 s)+ 2 (− 9.80m s )(3.00 s) = −44.1 m Freely Falling Bodies Example: How High Does it Go? The referee tosses the coin up with an initial speed of 5.00m/s. In the absence if air resistance, how high does the coin go above its point of release? Freely Falling Bodies y a v vo t ? -9.80 m/s2 0 m/s +5.00 m/s Freely Falling Bodies y a v vo t ? -9.80 m/s2 0 m/s +5.00 m/s 2 2 2 2 v − vo v = vo + 2ay y = 2a 2 2 2 2 v − vo (0m s) − (5.00m s) y = = =1.28 m 2a 2(− 9.80m s2 ) Freely Falling Bodies Conceptual Example: Acceleration Versus Velocity There are three parts to the motion of the coin. On the way up, the coin has a vector velocity that is directed upward and has decreasing magnitude. At the top of its path, the coin momentarily has zero velocity. On the way down, the coin has downward-pointing velocity with an increasing magnitude. In the absence of air resistance, does the acceleration of the coin, like the velocity, change from one part to another? Graphical Analysis of Velocity and Acceleration Object moving with constant velocity (zero acceleration) Δx + 8 m Slope = = = +4m s = v Δt 2 s Graphical Analysis of Velocity and Acceleration Changing velocity during a bike trip v = 0 m/s v = -1 m/s v = 2 m/s Graphical Analysis of Velocity and Acceleration Object moving with changing velocity Slope of the tangent line is the instantaneous velocity at the t = 20 s point: Slope = Δx/Δt = (26 m)/(5 s) = 5.2 m/s = v Graphical Analysis of Velocity and Acceleration Object moving with constant acceleration Δv +12 m s 2 Slope = = = +6m s = a Δt 2 s.
Load more

Recommended publications
  • Work Hours Calendar Work Hours Calendar
    Work Hours Calendar Work Hours Calendar EMPLOYEE: DATES (Dates entered in this calendar, e.g., April–July 2016) EMPLOYER: START OF WORKWEEK: PAY: (Sunday / Monday / Tuesday / etc.) (Hourly / Tips / Salary / Piece Rate) Minimum Wage Generally, you must be paid at least the federal minimum wage for all the time that you work, whether you are paid by the hour, the day, or at a piece rate. Overtime & Regular Rate If you are not an exempt employee, you must receive time and one-half your regular rate of pay after 40 hours of work in a seven-day workweek. Regular rate includes most compensation, including non-discretionary bonuses and shift differentials. Misclassification Some employers misclassify workers who are employees under the law as something other than employees, sometimes calling them “independent contractors.” When this happens, the workers do not receive certain workplace rights and benefits, such as the minimum wage and overtime pay, to which they are legally entitled. Recordkeeping Generally, you should know that your employer must keep records of all wages paid to you and of all hours you worked, no matter where the work is done. Similarly, we recommend that you keep your own records of all the hours you work and of your pay. We recommend that you keep all your pay 1 stubs, information your employer gives you or tells you about your pay rate, how many hours you worked, including overtime, and other information on your employer’s pay practices. This work hours calendar should help you keep as much information as possible. Em ployers must pay employees for all the time worked in a workday.
    [Show full text]
  • The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars
    Heavenly Mathematics: The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars Helmer Aslaksen Department of Mathematics National University of Singapore [email protected] www.math.nus.edu.sg/aslaksen/ www.chinesecalendar.net 1 Public Holidays There are 11 public holidays in Singapore. Three of them are secular. 1. New Year’s Day 2. Labour Day 3. National Day The remaining eight cultural, racial or reli- gious holidays consist of two Chinese, two Muslim, two Indian and two Christian. 2 Cultural, Racial or Religious Holidays 1. Chinese New Year and day after 2. Good Friday 3. Vesak Day 4. Deepavali 5. Christmas Day 6. Hari Raya Puasa 7. Hari Raya Haji Listed in order, except for the Muslim hol- idays, which can occur anytime during the year. Christmas Day falls on a fixed date, but all the others move. 3 A Quick Course in Astronomy The Earth revolves counterclockwise around the Sun in an elliptical orbit. The Earth ro- tates counterclockwise around an axis that is tilted 23.5 degrees. March equinox June December solstice solstice September equinox E E N S N S W W June equi Dec June equi Dec sol sol sol sol Beijing Singapore In the northern hemisphere, the day will be longest at the June solstice and shortest at the December solstice. At the two equinoxes day and night will be equally long. The equi- noxes and solstices are called the seasonal markers. 4 The Year The tropical year (or solar year) is the time from one March equinox to the next. The mean value is 365.2422 days.
    [Show full text]
  • Islamic Calendar from Wikipedia, the Free Encyclopedia
    Islamic calendar From Wikipedia, the free encyclopedia -at اﻟﺘﻘﻮﻳﻢ اﻟﻬﺠﺮي :The Islamic, Muslim, or Hijri calendar (Arabic taqwīm al-hijrī) is a lunar calendar consisting of 12 months in a year of 354 or 355 days. It is used (often alongside the Gregorian calendar) to date events in many Muslim countries. It is also used by Muslims to determine the proper days of Islamic holidays and rituals, such as the annual period of fasting and the proper time for the pilgrimage to Mecca. The Islamic calendar employs the Hijri era whose epoch was Islamic Calendar stamp issued at King retrospectively established as the Islamic New Year of AD 622. During Khaled airport (10 Rajab 1428 / 24 July that year, Muhammad and his followers migrated from Mecca to 2007) Yathrib (now Medina) and established the first Muslim community (ummah), an event commemorated as the Hijra. In the West, dates in this era are usually denoted AH (Latin: Anno Hegirae, "in the year of the Hijra") in parallel with the Christian (AD) and Jewish eras (AM). In Muslim countries, it is also sometimes denoted as H[1] from its Arabic form ( [In English, years prior to the Hijra are reckoned as BH ("Before the Hijra").[2 .(ﻫـ abbreviated , َﺳﻨﺔ ﻫِ ْﺠﺮﻳّﺔ The current Islamic year is 1438 AH. In the Gregorian calendar, 1438 AH runs from approximately 3 October 2016 to 21 September 2017.[3] Contents 1 Months 1.1 Length of months 2 Days of the week 3 History 3.1 Pre-Islamic calendar 3.2 Prohibiting Nasī’ 4 Year numbering 5 Astronomical considerations 6 Theological considerations 7 Astronomical
    [Show full text]
  • Two-Dimensional Rotational Kinematics Rigid Bodies
    Rigid Bodies A rigid body is an extended object in which the Two-Dimensional Rotational distance between any two points in the object is Kinematics constant in time. Springs or human bodies are non-rigid bodies. 8.01 W10D1 Rotation and Translation Recall: Translational Motion of of Rigid Body the Center of Mass Demonstration: Motion of a thrown baton • Total momentum of system of particles sys total pV= m cm • External force and acceleration of center of mass Translational motion: external force of gravity acts on center of mass sys totaldp totaldVcm total FAext==mm = cm Rotational Motion: object rotates about center of dt dt mass 1 Main Idea: Rotation of Rigid Two-Dimensional Rotation Body Torque produces angular acceleration about center of • Fixed axis rotation: mass Disc is rotating about axis τ total = I α passing through the cm cm cm center of the disc and is perpendicular to the I plane of the disc. cm is the moment of inertial about the center of mass • Plane of motion is fixed: α is the angular acceleration about center of mass cm For straight line motion, bicycle wheel rotates about fixed direction and center of mass is translating Rotational Kinematics Fixed Axis Rotation: Angular for Fixed Axis Rotation Velocity Angle variable θ A point like particle undergoing circular motion at a non-constant speed has SI unit: [rad] dθ ω ≡≡ω kkˆˆ (1)An angular velocity vector Angular velocity dt SI unit: −1 ⎣⎡rad⋅ s ⎦⎤ (2) an angular acceleration vector dθ Vector: ω ≡ Component dt dθ ω ≡ magnitude dt ω >+0, direction kˆ direction ω < 0, direction − kˆ 2 Fixed Axis Rotation: Angular Concept Question: Angular Acceleration Speed 2 ˆˆd θ Object A sits at the outer edge (rim) of a merry-go-round, and Angular acceleration: α ≡≡α kk2 object B sits halfway between the rim and the axis of rotation.
    [Show full text]
  • Geologic Timeline
    SCIENCE IN THE PARK: GEOLOGY GEOLOGIC TIME SCALE ANALOGY PURPOSE: To show students the order of events and time periods in geologic time and the order of events and ages of the physiographic provinces in Virginia. BACKGROUND: Exact dates for events change as scientists explore geologic time. Dates vary from resource to resource and may not be the same as the dates that appear in your text book. Analogies for geologic time: a 24 hour clock or a yearly calendar. Have students or groups of students come up with their own original analogy. Before you assign this activity, you may want to try it, depending on the age of the student, level of the class, or time constraints, you may want to leave out the events that have a date of less than 1 million years. ! Review conversions in the metric system before you begin this activity ! References L.S. Fichter, 1991 (1997) http://csmres.jmu.edu/geollab/vageol/vahist/images/Vahistry.PDF http://pubs.usgs.gov/gip/geotime/age.html Wicander, Reed. Historical Geology. Fourth Edition. Toronto, Ontario: Brooks/Cole, 2004. Print. VIRGINIA STANDARDS OF LEARNING ES.10 The student will investigate and understand that many aspects of the history and evolution of the Earth can be inferred by studying rocks and fossils. Key concepts include: relative and absolute dating; rocks and fossils from many different geologic periods and epochs are found in Virginia. Developed by C.P. Anderson Page 1 SCIENCE IN THE PARK: GEOLOGY Building a Geologic Time Scale Time: Materials Meter stick, 5 cm adding machine tape, pencil, colored pencils Procedure 1.
    [Show full text]
  • Guide for the Use of the International System of Units (SI)
    Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S.
    [Show full text]
  • Kinematics, Impulse, and Human Running
    Kinematics, Impulse, and Human Running Kinematics, Impulse, and Human Running Purpose This lesson explores how kinematics and impulse can be used to analyze human running performance. Students will explore how scientists determined the physical factors that allow elite runners to travel at speeds far beyond the average jogger. Audience This lesson was designed to be used in an introductory high school physics class. Lesson Objectives Upon completion of this lesson, students will be able to: ஃ describe the relationship between impulse and momentum. ஃ apply impulse-momentum theorem to explain the relationship between the force a runner applies to the ground, the time a runner is in contact with the ground, and a runner’s change in momentum. Key Words aerial phase, contact phase, momentum, impulse, force Big Question This lesson plan addresses the Big Question “​What does it mean to observe?” Standard Alignments ஃ Science and Engineering Practices ஃ SP 4​. Analyzing and interpreting data ஃ SP 5​. Using mathematics and computational thinking ஃ MA Science and Technology/Engineering Standards (2016) ஃ HS-PS2-10(MA)​. Use algebraic expressions and Newton’s laws of motion to predict changes to velocity and acceleration for an object moving in one dimension in various situations. ஃ HS-PS2-3.​ Apply scientific principles of motion and momentum to design, evaluate, and refine a device that minimizes the force on a macroscopic object during a collision. ஃ NGSS Standards (2013) HS-PS2-2. ​Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system.
    [Show full text]
  • Kinematics Big Ideas and Equations Position Vs
    Kinematics Big Ideas and Equations Position vs. Time graphs Big Ideas: A straight line on a p vs t graph indicates constant speed (and velocity) An object at rest is indicated by a horizontal line The slope of a line on a p vs. t graph = velocity of the object (steeper = faster) The main difference between speed and velocity is that velocity incorporates direction o Speed will always be positive but velocity can be positive or negative o Positive vs. Negative slopes indicates the direction; toward the positive end of an axis (number line) or the negative end. For motion detectors this indicates toward (-) and away (+), but only because there is no negative side to the axis. An object with continuously changing speed will have a curved P vs. t graph; (curving steeper – speeding up, curving flatter – slowing down) (Instantaneous) velocity = average velocity if P vs. t is a (straight) line. Velocity vs Time graphs Big Ideas: The velocity can be found by calculating the slope of a position-time graph Constant velocity on a velocity vs. time graph is indicated with a horizontal line. Changing velocity is indicated by a line that slopes up or down. Speed increases when Velocity graph slopes away from v=0 axis. Speed decreases when velocity graph slopes toward v=0 axis. The velocity is negative if the object is moving toward the negative end of the axis - if the final position is less than the initial position (or for motion detectors if the object moves toward the detector) The slope of a velocity vs.
    [Show full text]
  • Chapter 4 One Dimensional Kinematics
    Chapter 4 One Dimensional Kinematics 4.1 Introduction ............................................................................................................. 1 4.2 Position, Time Interval, Displacement .................................................................. 2 4.2.1 Position .............................................................................................................. 2 4.2.2 Time Interval .................................................................................................... 2 4.2.3 Displacement .................................................................................................... 2 4.3 Velocity .................................................................................................................... 3 4.3.1 Average Velocity .............................................................................................. 3 4.3.3 Instantaneous Velocity ..................................................................................... 3 Example 4.1 Determining Velocity from Position .................................................. 4 4.4 Acceleration ............................................................................................................. 5 4.4.1 Average Acceleration ....................................................................................... 5 4.4.2 Instantaneous Acceleration ............................................................................. 6 Example 4.2 Determining Acceleration from Velocity .........................................
    [Show full text]
  • Representation of Date and Time Data Standard
    REPRESENTATION OF DATE AND TIME DATA STANDARD Standard No.: EX000013.1 January 6, 2006 This standard has been produced through the Environmental Data Standards Council (EDSC). Representation of Date and Time Data Standard Std No.: EX000013.1 Foreword The Environmental Data Standards Council (EDSC) identifies, prioritizes and pursues the creation of data standards for those areas where information exchange standards will provide the most value in achieving environmental results. The Council involves Tribes and Tribal Nations, state and federal agencies in the development of the standards and then provides the draft materials for general review. Business groups, non-governmental organizations, and other interested parties may then provide input and comment for Council consideration and standard finalization. Standards are available at http://www.epa.gov/datastandards 1.0 INTRODUCTION This is a format standard which indicates how one displays a particular day within a Gregorian calendar month and specifies an instance of time in the day. Time is expressed in Coordinated Universal Time (UTC). UTC is the official time scale, maintained by the Bureau International des Poids et Mesures (BIPM), and the International Earth Rotation Service (IERS). Examples of the formats follow: a. Date only format When the need is for an expression only of a calendar date, then the complete representation shall be a single numeric data element comprising eight digits, where [YYYY] represents a calendar year, [MM] the ordinal number of a calendar month within the calendar year, and [DD] the ordinal number of a day within the calendar month. Extended format: YYYY-MM-DD EXAMPLE 1985-04-12 b.
    [Show full text]
  • Rotational Motion and Angular Momentum 317
    CHAPTER 10 | ROTATIONAL MOTION AND ANGULAR MOMENTUM 317 10 ROTATIONAL MOTION AND ANGULAR MOMENTUM Figure 10.1 The mention of a tornado conjures up images of raw destructive power. Tornadoes blow houses away as if they were made of paper and have been known to pierce tree trunks with pieces of straw. They descend from clouds in funnel-like shapes that spin violently, particularly at the bottom where they are most narrow, producing winds as high as 500 km/h. (credit: Daphne Zaras, U.S. National Oceanic and Atmospheric Administration) Learning Objectives 10.1. Angular Acceleration • Describe uniform circular motion. • Explain non-uniform circular motion. • Calculate angular acceleration of an object. • Observe the link between linear and angular acceleration. 10.2. Kinematics of Rotational Motion • Observe the kinematics of rotational motion. • Derive rotational kinematic equations. • Evaluate problem solving strategies for rotational kinematics. 10.3. Dynamics of Rotational Motion: Rotational Inertia • Understand the relationship between force, mass and acceleration. • Study the turning effect of force. • Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration. 10.4. Rotational Kinetic Energy: Work and Energy Revisited • Derive the equation for rotational work. • Calculate rotational kinetic energy. • Demonstrate the Law of Conservation of Energy. 10.5. Angular Momentum and Its Conservation • Understand the analogy between angular momentum and linear momentum. • Observe the relationship between torque and angular momentum. • Apply the law of conservation of angular momentum. 10.6. Collisions of Extended Bodies in Two Dimensions • Observe collisions of extended bodies in two dimensions. • Examine collision at the point of percussion.
    [Show full text]
  • Geological Time Scale Lecture Notes
    Geological Time Scale Lecture Notes dewansEddy remains validly. ill-judged: Lefty is unhelpable: she leaf her she reinsurers phrases mediates inattentively too artfully?and postmarks Ruthenic her and annual. closed-door Fabio still crenellate his Seventh grade Lesson Geologic Time Mini Project. If i miss a lecture and primitive to copy a classmate's notes find a photocopying. Geologic Time Scale Age of free Earth subdivided into named and dated intervals. The Quaternary is even most recent geological period for time in trek's history spanning the unique two million. Geologic Time and Earth Science Lumen Learning. Explaining Events Study arrangement 3 in Figure B Note that. Do not get notified when each lecture notes to be taken in fact depends on plate boundaries in lecture notes with it was convinced from? Coloured minerals introduction to mining geology lecture notes ppt Mining. The geologic record indicates several ice surges interspersed with periods of. Lecture Notes Geologic Eras Geologic Timescale The geologic timetable is divided into 4 major eras The oldest era is called the Pre-Cambrian Era. 4 Mb Over long periods of debate many rocks change shape and ease as salary are. A Geologic Time Scale Measures the Evolution of Life system Review NotesHighlights Image Attributions ShowHide Details. Lecture notes lecture 26 Geological time scale StuDocu. You are encouraged to work together and review notes from lectures to flex on. These lecture notes you slip and indirect evidence of rocks, and phases and geological time scale lecture notes made by which help you? Index fossil any homicide or plant preserved in the department record write the bond that is characteristic of behavior particular complain of geologic time sensitive environment but useful index.
    [Show full text]