CIRCULAR MOTION. Physics Department Electricity and Magnetism Laboratory. d dt. R is the distance from the body to the axis of rotation. v R.
|
|
- Nicholas Carter
- 5 years ago
- Views:
Transcription
1 Physics Department Electricity and Magnetism Laboratory CIRCULAR MOTION 1. Aim The aim of this experiment is to study uniform circular motion and uniformly accelerated circular motion. The motion equation for a rotating rigid body will be studied, and a moment of inertia will be calculated.. Overview Circular motion is a curved motion where the path (or trajectory) is a circumference, e.g. the motion of any point on a rotating disk or wheel. On a first approximation, the motion of the Moon around Earth and that of an electron around a proton in a hydrogen atom are circular motions. Due to the Earth's rotation, all bodies on its surface are on circular motion around the axis of rotation of the Earth..1 Uniform circular motion equations. In circular motion with constant speed, the velocity vector, v, is tangential to the circumference (as velocity is always tangential to the path). Distance covered, s, is always measured along the path, which in this case is an arc of circumference. Equations are similar to those of uniform rectilinear motion (constant velocity), but instead of distance covered s there is the angle swept out, and instead of linear velocity v, angular velocity,, (angle swept out per time unit). See Figure 1. v R d dt t [1] 0 0 [3] R is the distance from the body to the axis of rotation. [] In this motion, the velocity vector v has a constant modulus but variable direction and sense. This implies that there is acceleration: normal acceleration v R a N directed towards the axis of rotation. 1
2 Figure 1.. Uniformly accelerated circular motion equations. When the angular velocity of a particle in circular motion changes over time, angular acceleration is defined as The equations obtained are: d [4] dt 0 [5] t 1 t 0 0 t [6] Aside from [1] and the normal acceleration, now there is also a tangential acceleration, a T R (See Figure ). Figure.
3 .3 Relationship between moment of force and angular acceleration. Newton's second law of motion indicates the relationship between the forces applied onto a F ma body and the resulting acceleration, [7]. Now we are studying circular motion, and instead of force we speak about moment of force, also called torque. The moment of a force with respect to a certain axis is the product of the force and its distance to the axis, M R F (see Figure 3). This torque does not cause displacement but rotation, by causing angular acceleration. In a similar fashion as [7] but changing force for moment and acceleration for M I angular acceleration, we arrive to, [8], where I is the moment of inertia, which depends on the mass distribution and the geometry of the body, and has dimension ML (in the case of a coin it is 1 mr I ). Figure 3 3
4 3. Equipment Figure Photogate.. Rod support. 3. Rod. 4. Power source. 5. Motor. 6. Wires. 7. Pulley, fixed to the edge of the table. 8. Weight support. 9. Weights. 10. String. 11. Ruler. 1. Vernier caliper. 4
5 4. Experimental Procedure 4.1 Uniform circular motion. The experimental set-up is shown in Figure 5. Connect the motor to the power source. Turn on the power source and set a voltage so that the speed of rotation of the rod is as small as possible but stable. Never go beyond 1.5A for the current or the motor might be damaged! Now we are going to measure the linear speed of the rod (at the position of the photogate) and the angular velocity. The procedure will be: Learn how to use the photogate (sec. 4.3). To obtain the linear speed, use the photogate measure t (time that takes for the end of the rod to go through the photogate) three times. To obtain the angular velocity, use the photogate measure t 3 (time between two passes of the rod's ends, which corresponds to a 180º angle swept out) three times. This procedure has to be done for 5 different velocities of the rod. In order to set new velocities values, increase the voltage of the power supply. The velocity values chosen has to be: Different enough so the values t and t 3 change their values on the display. Low enough so the current is never higher than 1.5A. Figure 5. 5
6 4. Uniformly accelerated circular motion. Prepare the set-up shown in Figure 6. Note that the motor is not required for the set-up. Wind up the string around the rod support so that when dropping the weight you will see the rod start to spin increasingly fast. Ensure that the rod makes several turns before stopping when the string is unwound. r Is the radius of the cylinder where the string is wound up. Set a 10 g weight on the weight support. Now we are going to obtain experimentally the relation between the linear velocity v of the rod position where the photogate is placed and the angle swept. Later we will compare the result with the expected using the theory (see appendix 5.1). We are going to measure the linear velocity for 5 different angular positions /, 3 /, 5 /, 7 / y 9 /. In order to obtain the linear velocity for every one of the angular positions we will measure with the help of the photogate the time t. The linear velocity v is obtained dividing the width of the rod by t. We will follow the next procedure: Select the photogate measure mode t. To measure on / set the rod at a 90º angle from the photogate, as shown in Figure 6. Activate the photogate trigger (set button) and release the rod. Thus, the rod will start moving in uniformly accelerated circular motion. When the end of the rod goes through the photogate, the angle swept out is 90º. In that instant the sensor measures t, and from this, linear velocity v ( / ) can be calculated. To measure on 3 / angle is obtained when the opposite end of the rod goes through the photogate. The set-up of the previous measure is repeated (wind up the stricg around the rod and hold the rod with your hand) but we don t activate the photogate trigger. Release the rod and it will start spinning and, after the first rod end passes through the photogate, you have to activate the trigger. Thus, when the second rod end passes through the gate, a measure of t will be taken when the displacement is 3 /. Repeat the process for the other angles, taking into account that the gate has to be triggered just before the angle we want to measure. For example, if we are measuring on 9 /, the rod has to pass through the gate four times. After the fourth pass you should activate the gate and it will measure the fifth pass (that correspond to the desired angle). Of course, four passes of the rod correspond with two passes of one end of the rod and two passes of the other end of the rod! Obtain one single measurement of each angular position and fill in the table with the values, the measured t, and the computed v. Repeat the procedure using the 0g weight. 6
7 Figure Photogate. Figure 7. Check that the sensor is correctly plugged. To measure t set the switch (bottom-right on the figure) on the second position (next to Count). Measure the time interval in seconds that takes the rod to go through the sensor. 7
8 Reset the count with the Set button. To measure t 3 set the switch in the third position. The sensor starts counting when one end goes through, and stops when the other end goes through. So, t 3 is the time taken in sweeping a 180º angle. 5. Appendix Relationship between linear velocity and angle swept out in uniformly accelerated circular motion. v wr we can substitute w t. From [6] / Motion starts at rest. In which yields: v Rt t and substituting in we arrive to: Take the logarithm from both sides: v R [9] 1 1 ln v ln( ) ln ln R [10] 5. Relationship between moment of force and angular acceleration. Figure 8. 8
9 (See Figure 8). From equation [8] and bearing in mind that the only force present is the tension of the string, rt I [11] To obtain the tension of the string, we apply [7] on the weight holder. m g [1] T m a From a r we substitute in [11] and the moment of inertia results: mgr I m The moment of inertia is always positive, I 0 : r [13] r g [14] 9
10 Relationship between linear velocity and angle swept out in uniformly accelerated circular motion. v wr we can substitute w t. From [6] / Motion starts at rest. In which yields: v Rt t and substituting in we arrive to: Take the logarithm from both sides: v R [9] 1 1 lnv ln( ) ln lnr [10] 5. Relationship between moment of force and angular acceleration. Figure 8. (See Figure 8). From equation [8] and bearing in mind that the only force present is the 10
11 tension of the string, rt I [11] To obtain the tension of the string, we apply [7] on the weight holder. m g [1] T m a From a r we substitute in [11] and the moment of inertia results: m gr I m The moment of inertia is always positive, I 0 : r [13] r g [14] 11
12 1
Phys 106 Practice Problems Common Quiz 1 Spring 2003
Phys 106 Practice Problems Common Quiz 1 Spring 2003 1. For a wheel spinning with constant angular acceleration on an axis through its center, the ratio of the speed of a point on the rim to the speed
More informationRotational Motion. 1 Purpose. 2 Theory 2.1 Equation of Motion for a Rotating Rigid Body
Rotational Motion Equipment: Capstone, rotary motion sensor mounted on 80 cm rod and heavy duty bench clamp (PASCO ME-9472), string with loop at one end and small white bead at the other end (125 cm bead
More informationRotational Inertia (approximately 2 hr) (11/23/15)
Inertia (approximately 2 hr) (11/23/15) Introduction In the case of linear motion, a non-zero net force will result in linear acceleration in accordance with Newton s 2 nd Law, F=ma. The moving object
More informationMoment of inertia and angular acceleration
Principle A known torque is applied to a body that can rotate about a fixed axis with minimal friction. Angle and angular velocity are measured over the time and the moment of inertia is determined. The
More informationHandout 6: Rotational motion and moment of inertia. Angular velocity and angular acceleration
1 Handout 6: Rotational motion and moment of inertia Angular velocity and angular acceleration In Figure 1, a particle b is rotating about an axis along a circular path with radius r. The radius sweeps
More informationRotational Dynamics Smart Pulley
Rotational Dynamics Smart Pulley The motion of the flywheel of a steam engine, an airplane propeller, and any rotating wheel are examples of a very important type of motion called rotational motion. If
More information1 MR SAMPLE EXAM 3 FALL 2013
SAMPLE EXAM 3 FALL 013 1. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s. How long does it take to rotate through the first rev? A) s B) 4 s C) 6 s D) 8 s E) 10 s. A wheel,
More informationRotational Dynamics. Goals and Introduction
Rotational Dynamics Goals and Introduction In translational dynamics, we use the quantities displacement, velocity, acceleration, mass and force to model the motion of objects. In that model, a net force
More informationRotation. PHYS 101 Previous Exam Problems CHAPTER
PHYS 101 Previous Exam Problems CHAPTER 10 Rotation Rotational kinematics Rotational inertia (moment of inertia) Kinetic energy Torque Newton s 2 nd law Work, power & energy conservation 1. Assume that
More informationPHY 123 Lab 6 - Angular Momentum
1 PHY 123 Lab 6 - Angular Momentum (updated 10/17/13) The purpose of this lab is to study torque, moment of inertia, angular acceleration and the conservation of angular momentum. If you need the.pdf version
More informationRotational Kinetic Energy
Lecture 17, Chapter 10: Rotational Energy and Angular Momentum 1 Rotational Kinetic Energy Consider a rigid body rotating with an angular velocity ω about an axis. Clearly every point in the rigid body
More informationExperiment 11: Rotational Inertia of Disk and Ring
Experiment 11: Rotational Inertia of Disk and Ring Equipment Required ScienceWorkshop 750 Interface (CI- 6450 or CI-7599) Mini-Rotational Accessory (CI-6691) Base and Support Rod (ME-9355) Paper clips
More informationE X P E R I M E N T 11
E X P E R I M E N T 11 Conservation of Angular Momentum Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics, Exp 11: Conservation
More informationUse the following to answer question 1:
Use the following to answer question 1: On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to
More informationRotation. Kinematics Rigid Bodies Kinetic Energy. Torque Rolling. featuring moments of Inertia
Rotation Kinematics Rigid Bodies Kinetic Energy featuring moments of Inertia Torque Rolling Angular Motion We think about rotation in the same basic way we do about linear motion How far does it go? How
More informationExperiment P26: Rotational Inertia (Smart Pulley)
PASCO scientific Physics Lab Manual P26-1 Experiment P26: (Smart Pulley) Concept Time SW Interface Macintosh file Windows file rotational motion 45 m 500 or 700 P26 P26_ROTA.SWS EQUIPMENT NEEDED Interface
More informationUniversity Physics (Prof. David Flory) Chapt_11 Thursday, November 15, 2007 Page 1
University Physics (Prof. David Flory) Chapt_11 Thursday, November 15, 2007 Page 1 Name: Date: 1. For a wheel spinning on an axis through its center, the ratio of the radial acceleration of a point on
More informationWebreview Torque and Rotation Practice Test
Please do not write on test. ID A Webreview - 8.2 Torque and Rotation Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A 0.30-m-radius automobile
More informationCHAPTER 8: ROTATIONAL OF RIGID BODY PHYSICS. 1. Define Torque
7 1. Define Torque 2. State the conditions for equilibrium of rigid body (Hint: 2 conditions) 3. Define angular displacement 4. Define average angular velocity 5. Define instantaneous angular velocity
More informationMoment and angular momentum
Moment and angular momentum TEP Related topics Circular motion, angular velocity, angular acceleration, moment of inertia, Newton s Laws, rotation. Principle The angle of rotation and angular velocity
More informationAPC PHYSICS CHAPTER 11 Mr. Holl Rotation
APC PHYSICS CHAPTER 11 Mr. Holl Rotation Student Notes 11-1 Translation and Rotation All of the motion we have studied to this point was linear or translational. Rotational motion is the study of spinning
More informationLab 9 - Rotational Dynamics
145 Name Date Partners Lab 9 - Rotational Dynamics OBJECTIVES To study angular motion including angular velocity and angular acceleration. To relate rotational inertia to angular motion. To determine kinetic
More informationCentripetal acceleration ac = to2r Kinetic energy of rotation KE, = \lto2. Moment of inertia. / = mr2 Newton's second law for rotational motion t = la
The Language of Physics Angular displacement The angle that a body rotates through while in rotational motion (p. 241). Angular velocity The change in the angular displacement of a rotating body about
More informationSimple and Physical Pendulums Challenge Problem Solutions
Simple and Physical Pendulums Challenge Problem Solutions Problem 1 Solutions: For this problem, the answers to parts a) through d) will rely on an analysis of the pendulum motion. There are two conventional
More informationAdvanced Higher Physics. Rotational motion
Wallace Hall Academy Physics Department Advanced Higher Physics Rotational motion Problems AH Physics: Rotational Motion 1 2013 Data Common Physical Quantities QUANTITY SYMBOL VALUE Gravitational acceleration
More informationCircular motion minutes. 62 marks. theonlinephysicstutor.com. facebook.com/theonlinephysicstutor Page 1 of 22. Name: Class: Date: Time: Marks:
Circular motion 2 Name: Class: Date: Time: 67 minutes Marks: 62 marks Comments: Page 1 of 22 1 A lead ball of mass 0.25 kg is swung round on the end of a string so that the ball moves in a horizontal circle
More information6. Find the net torque on the wheel in Figure about the axle through O if a = 10.0 cm and b = 25.0 cm.
1. During a certain period of time, the angular position of a swinging door is described by θ = 5.00 + 10.0t + 2.00t 2, where θ is in radians and t is in seconds. Determine the angular position, angular
More informationActivity P24: Conservation of Linear and Angular Momentum (Photogate/Pulley System)
Name Class Date Activity P24: Conservation of Linear and Angular Momentum (Photogate/Pulley System) Concept DataStudio ScienceWorkshop (Mac) ScienceWorkshop (Win) Momentum P24 Linear Angular.DS P28 Cons
More informationEQUATIONS OF MOTION: ROTATION ABOUT A FIXED AXIS (Section 17.4) Today s Objectives: Students will be able to analyze the planar kinetics of a rigid
EQUATIONS OF MOTION: ROTATION ABOUT A FIXED AXIS (Section 17.4) Today s Objectives: Students will be able to analyze the planar kinetics of a rigid body undergoing rotational motion. APPLICATIONS The crank
More informationPhysics 131: Lecture 21. Today s Agenda
Physics 131: Lecture 21 Today s Agenda Rotational dynamics Torque = I Angular Momentum Physics 201: Lecture 10, Pg 1 Newton s second law in rotation land Sum of the torques will equal the moment of inertia
More informationAP Physics C: Rotation II. (Torque and Rotational Dynamics, Rolling Motion) Problems
AP Physics C: Rotation II (Torque and Rotational Dynamics, Rolling Motion) Problems 1980M3. A billiard ball has mass M, radius R, and moment of inertia about the center of mass I c = 2 MR²/5 The ball is
More informationRotational Inertia (Rotational Kinematics and Dynamics)
PHYSICS LAB 8 SP211 Rotational Inertia (Rotational Kinematics and Dynamics) I. Introduction NOTE: Please take a stopwatch (or a wristwatch with a built in stopwatch) to lab if one is available to you;
More informationUniform Circular Motion
Uniform Circular Motion Uniform circular motion is the motion of an object in a circular path with a velocity that has a constant magnitude and a direction that is constantly changing. This is due to a
More informationName: Date: Period: AP Physics C Rotational Motion HO19
1.) A wheel turns with constant acceleration 0.450 rad/s 2. (9-9) Rotational Motion H19 How much time does it take to reach an angular velocity of 8.00 rad/s, starting from rest? Through how many revolutions
More informationNE01 - Centripetal Force. Laboratory Manual Experiment NE01 - Centripetal Force Department of Physics The University of Hong Kong
Background Introduction Laboratory Manual Experiment Department of Physics The University of Hong Kong Circular Motion is one of the simplest forms of 2-dimensional motion in which the locus of the object
More informationMoment of inertia and angular acceleration with Cobra 3
Principle A known torque is applied to a body that can rotate about a fixed axis with minimal friction. Angle and angular velocity are measured over the time and the moment of inertia is determined. The
More informationHuman Arm. 1 Purpose. 2 Theory. 2.1 Equation of Motion for a Rotating Rigid Body
Human Arm Equipment: Capstone, Human Arm Model, 45 cm rod, sensor mounting clamp, sensor mounting studs, 2 cord locks, non elastic cord, elastic cord, two blue pasport force sensors, large table clamps,
More informationRotational Motion and Torque
Rotational Motion and Torque Introduction to Angular Quantities Sections 8- to 8-2 Introduction Rotational motion deals with spinning objects, or objects rotating around some point. Rotational motion is
More information1 Problems 1-3 A disc rotates about an axis through its center according to the relation θ (t) = t 4 /4 2t
Slide 1 / 30 1 Problems 1-3 disc rotates about an axis through its center according to the relation θ (t) = t 4 /4 2t etermine the angular velocity of the disc at t= 2 s 2 rad/s 4 rad/s 6 rad/s 8 rad/s
More informationSlide 1 / 30. Slide 2 / 30. Slide 3 / m/s -1 m/s
1 Problems 1-3 disc rotates about an axis through its center according to the relation θ (t) = t 4 /4 2t Slide 1 / 30 etermine the angular velocity of the disc at t= 2 s 2 rad/s 4 rad/s 6 rad/s 8 rad/s
More informationPhysics Laboratory I. Dinamics Rotational Inertia. Ins. Fatma Nur AKI
Physics Laboratory I Dinamics Rotational Inertia Ins. Fatma Nur AKI fnaki@ticaret.edu.tr Vernier Calipers There are special devices for taking measurements. For example Vernier calipers are used to meausere
More informationPHYSICS 1 EXPERIMENTS
PHYSICS 1 EXPERIMENTS 1 TABLE OF CONTENTS PAGES 1. Motion Along a Straight Line 3 2. Projectile Motion 8 3. Hooke s Law 18 4. Conservation of Momentum 25 5. Rotational Motion 32 6. Simple Pendulum 49 2
More informationChapter 10.A. Rotation of Rigid Bodies
Chapter 10.A Rotation of Rigid Bodies P. Lam 7_23_2018 Learning Goals for Chapter 10.1 Understand the equations govern rotational kinematics, and know how to apply them. Understand the physical meanings
More informationRotation. EMU Physics Department. Ali ÖVGÜN.
Rotation Ali ÖVGÜN EMU Physics Department www.aovgun.com Rotational Motion Angular Position and Radians Angular Velocity Angular Acceleration Rigid Object under Constant Angular Acceleration Angular and
More informationTwo-Dimensional Rotational Kinematics
Two-Dimensional Rotational Kinematics Rigid Bodies A rigid body is an extended object in which the distance between any two points in the object is constant in time. Springs or human bodies are non-rigid
More informationPhysics 131: Lecture 21. Today s Agenda
Physics 131: Lecture 1 Today s Agenda Rotational dynamics Torque = I Angular Momentum Physics 01: Lecture 10, Pg 1 Newton s second law in rotation land Sum of the torques will equal the moment of inertia
More informationIn physics, motion in circles is just as important as motion along lines, but there are all
Chapter 6 Round and Round: Circular Motion In This Chapter Converting angles Handling period and frequency Working with angular frequency Using angular acceleration In physics, motion in circles is just
More informationExperiment P28: Conservation of Linear and Angular Momentum (Smart Pulley)
PASCO scientific Physics Lab Manual: P28-1 Experiment P28: Conservation of Linear and Angular Momentum (Smart Pulley) Concept Time SW Interface Macintosh File Windows File rotational motion 45 m 500 or
More informationRotational Kinematics and Dynamics. UCVTS AIT Physics
Rotational Kinematics and Dynamics UCVTS AIT Physics Angular Position Axis of rotation is the center of the disc Choose a fixed reference line Point P is at a fixed distance r from the origin Angular Position,
More informationis acting on a body of mass m = 3.0 kg and changes its velocity from an initial
PHYS 101 second major Exam Term 102 (Zero Version) Q1. A 15.0-kg block is pulled over a rough, horizontal surface by a constant force of 70.0 N acting at an angle of 20.0 above the horizontal. The block
More informationPhys 270 Final Exam. Figure 1: Question 1
Phys 270 Final Exam Time limit: 120 minutes Each question worths 10 points. Constants: g = 9.8m/s 2, G = 6.67 10 11 Nm 2 kg 2. 1. (a) Figure 1 shows an object with moment of inertia I and mass m oscillating
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department 8.01 Physics I Fall Term 2009 Review Module on Solving N equations in N unknowns
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department 8.01 Physics I Fall Term 2009 Review Module on Solving N equations in N unknowns Most students first exposure to solving N linear equations in N
More informationPhysical Pendulum, Torsion Pendulum
[International Campus Lab] Physical Pendulum, Torsion Pendulum Objective Investigate the motions of physical pendulums and torsion pendulums. Theory ----------------------------- Reference --------------------------
More informationName:. Set:. Don: Physics: Pre-U Revision Toytime Rotational and Circular Motion
Name:. Set:. Don: Physics: Pre-U Revision Toytime 2015-16 Rotational and Circular Motion 1 19 (ii) Place ticks in the table below to identify the effect on waves of light as they refract from diamond into
More informationExperiment 2 Rotational Dynamics
Experiment 2 Rotational Dynamics Background You may find it useful to review chapters from your introductory physics textbook dealing with rotational motion, torque and angular momentum. The average angular
More informationLaboratory Manual Experiment NE02 - Rotary Motions Department of Physics The University of Hong Kong
Laboratory Manual Experiment NE02 - Rotary Motions Department of Physics The University of Hong Kong In this set of experiments, the moment of inertia of rotating objects of different shapes and the law
More informationRotational Dynamics, Moment of Inertia, Torque and Rotational Friction
Rotational Dynamics, Moment of Inertia, Torque and Rotational Friction Junaid Alam, Imran Younas, Waqas Mahmood, Sohaib Shamim, Wasif Zia, Muhammad Sabieh Anwar LUMS School of Science and Engineering Version
More informationRotational Motion, Torque, Angular Acceleration, and Moment of Inertia. 8.01t Nov 3, 2004
Rotational Motion, Torque, Angular Acceleration, and Moment of Inertia 8.01t Nov 3, 2004 Rotation and Translation of Rigid Body Motion of a thrown object Translational Motion of the Center of Mass Total
More informationτ = (Force)(lever arm) #
EXPERIMENT: MOMENT OF INERTIA OBJECTIVES : 1) To familiarize yourself with the concept of the moment of inertia, I, which plays the same role in the description of the rotation of the rigid body as the
More informationRotation review packet. Name:
Rotation review packet. Name:. A pulley of mass m 1 =M and radius R is mounted on frictionless bearings about a fixed axis through O. A block of equal mass m =M, suspended by a cord wrapped around the
More informationEF 151 Exam #4 - Spring, 2016 Page 1 Copy 205
EF 151 Exam #4 - Spring, 016 Page 1 Copy 05 Name: Section: Instructions: Sit in assigned seat; failure to sit in assigned seat results in a 0 for the exam. Put name and section on your exam. Put seating
More informationPhysics 23 Exam 3 April 2, 2009
1. A string is tied to a doorknob 0.79 m from the hinge as shown in the figure. At the instant shown, the force applied to the string is 5.0 N. What is the torque on the door? A) 3.3 N m B) 2.2 N m C)
More information= o + t = ot + ½ t 2 = o + 2
Chapters 8-9 Rotational Kinematics and Dynamics Rotational motion Rotational motion refers to the motion of an object or system that spins about an axis. The axis of rotation is the line about which the
More informationTest 7 wersja angielska
Test 7 wersja angielska 7.1A One revolution is the same as: A) 1 rad B) 57 rad C) π/2 rad D) π rad E) 2π rad 7.2A. If a wheel turns with constant angular speed then: A) each point on its rim moves with
More information1. Write the symbolic representation and one possible unit for angular velocity, angular acceleration, torque and rotational inertia.
ROTATIONAL DYNAMICS Pre-Lab Questions Page Name: Class: Roster Number: Instructor: 1. Write the symbolic representation and one possible unit for angular velocity, angular acceleration, torque and rotational
More informationPhysics 4A Lab 11: MOMENT OF INERTIA Parts List
Part Quantity Rotating cross-arm table 1 Physics 4A Lab 11: MOMENT OF INERTIA Parts List Large iron disk 1 Large iron ring 1 50 grams hanger 1 Weights 1 set Table clamp 1 1-meter long rod 1 Pulleys 2 Rght-angle
More informationExperiment 7: Newton s Second Law for Rotational Motion
Chapter 9 Experiment 7: Newton s Second Law for Rotational Motion Isaac Newton (1642-1727) formalized the relationship between force and motion in his Principia (published in 1687) in which he proposed
More informationAP practice ch 7-8 Multiple Choice
AP practice ch 7-8 Multiple Choice 1. A spool of thread has an average radius of 1.00 cm. If the spool contains 62.8 m of thread, how many turns of thread are on the spool? "Average radius" allows us to
More informationBig Idea 4: Interactions between systems can result in changes in those systems. Essential Knowledge 4.D.1: Torque, angular velocity, angular
Unit 7: Rotational Motion (angular kinematics, dynamics, momentum & energy) Name: Big Idea 3: The interactions of an object with other objects can be described by forces. Essential Knowledge 3.F.1: Only
More informationEF 151 Exam 4 Fall, 2017 Page 1 Copy 223
EF 151 Exam 4 Fall, 017 Page 1 Copy 3 Name: Section: Before the Exam Starts: Sit in assigned seat; failure to sit in assigned seat results in a 0 for the exam. Put name and section on your exam. Put seating
More informationMechanics Moment and angular momentum. Dynamics. What you need:
Mechanics Dynamics Moment and angular momentum What you can learn about Circular motion Angular velocity Angular acceleration Moment of inertia Newton s laws Rotation Principle: The angle of rotation and
More informationChapter Rotational Motion
26 Chapter Rotational Motion 1. Initial angular velocity of a circular disc of mass M is ω 1. Then two small spheres of mass m are attached gently to diametrically opposite points on the edge of the disc.
More informationPhysics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 20: Rotational Motion. Slide 20-1
Physics 1501 Fall 2008 Mechanics, Thermodynamics, Waves, Fluids Lecture 20: Rotational Motion Slide 20-1 Recap: center of mass, linear momentum A composite system behaves as though its mass is concentrated
More informationPhysics for Scientist and Engineers third edition Rotational Motion About a Fixed Axis Problems
A particular bird s eye can just distinguish objects that subtend an angle no smaller than about 3 E -4 rad, A) How many degrees is this B) How small an object can the bird just distinguish when flying
More informationTOPIC D: ROTATION EXAMPLES SPRING 2018
TOPIC D: ROTATION EXAMPLES SPRING 018 Q1. A car accelerates uniformly from rest to 80 km hr 1 in 6 s. The wheels have a radius of 30 cm. What is the angular acceleration of the wheels? Q. The University
More informationPHY 111L Activity 9 Moments of Inertia
PHY 111L Activity 9 Moments of Inertia Name: Section: ID #: Date: Lab Partners: TA initials: Objectives 1. Introduce moment of inertia for different objects 2. Understand the moment of inertia apparatus
More informationName (please print): UW ID# score last first
Name (please print): UW ID# score last first Question I. (20 pts) Projectile motion A ball of mass 0.3 kg is thrown at an angle of 30 o above the horizontal. Ignore air resistance. It hits the ground 100
More information第 1 頁, 共 7 頁 Chap10 1. Test Bank, Question 3 One revolution per minute is about: 0.0524 rad/s 0.105 rad/s 0.95 rad/s 1.57 rad/s 6.28 rad/s 2. *Chapter 10, Problem 8 The angular acceleration of a wheel
More informationIts SI unit is rad/s and is an axial vector having its direction given by right hand thumb rule.
Circular motion An object is said to be having circular motion if it moves along a circular path. For example revolution of moon around earth, the revolution of an artificial satellite in circular orbit
More informationOscillations. Oscillations and Simple Harmonic Motion
Oscillations AP Physics C Oscillations and Simple Harmonic Motion 1 Equilibrium and Oscillations A marble that is free to roll inside a spherical bowl has an equilibrium position at the bottom of the bowl
More informationAngular velocity and angular acceleration CHAPTER 9 ROTATION. Angular velocity and angular acceleration. ! equations of rotational motion
Angular velocity and angular acceleration CHAPTER 9 ROTATION! r i ds i dθ θ i Angular velocity and angular acceleration! equations of rotational motion Torque and Moment of Inertia! Newton s nd Law for
More informationPhysics 4A Solutions to Chapter 10 Homework
Physics 4A Solutions to Chapter 0 Homework Chapter 0 Questions: 4, 6, 8 Exercises & Problems 6, 3, 6, 4, 45, 5, 5, 7, 8 Answers to Questions: Q 0-4 (a) positive (b) zero (c) negative (d) negative Q 0-6
More informationChapter 8 Lecture Notes
Chapter 8 Lecture Notes Physics 2414 - Strauss Formulas: v = l / t = r θ / t = rω a T = v / t = r ω / t =rα a C = v 2 /r = ω 2 r ω = ω 0 + αt θ = ω 0 t +(1/2)αt 2 θ = (1/2)(ω 0 +ω)t ω 2 = ω 0 2 +2αθ τ
More informationWork and kinetic Energy
Work and kinetic Energy Problem 66. M=4.5kg r = 0.05m I = 0.003kgm 2 Q: What is the velocity of mass m after it dropped a distance h? (No friction) h m=0.6kg mg Work and kinetic Energy Problem 66. M=4.5kg
More informationVideo Lecture #2 Introductory Conservation of Momentum Problem using Unit Vectors
AP Physics C Video Lecture Notes Chapter 09-10 Thank You, Emily Rencsok, for these notes. Video Lecture #1 Introduction to Momentum and Derivation of Conservation of Momentum Video Lecture #2 Introductory
More informationChapter 8. Rotational Motion
Chapter 8 Rotational Motion The Action of Forces and Torques on Rigid Objects In pure translational motion, all points on an object travel on parallel paths. The most general motion is a combination of
More informationAPPLIED MATHEMATICS HIGHER LEVEL
L.42 PRE-LEAVING CERTIFICATE EXAMINATION, 203 APPLIED MATHEMATICS HIGHER LEVEL TIME : 2½ HOURS Six questions to be answered. All questions carry equal marks. A Formulae and Tables booklet may be used during
More informationExperiment 08: Physical Pendulum. 8.01t Nov 10, 2004
Experiment 08: Physical Pendulum 8.01t Nov 10, 2004 Goals Investigate the oscillation of a real (physical) pendulum and compare to an ideal (point mass) pendulum. Angular frequency calculation: Practice
More informationDP Physics Torque Simulation
DP Physics Torque Simulation Name Go to Phet Simulation: ( http://phet.colorado.edu/simulations/sims.php?sim=torque ) Part I: Torque 1. Click the tab at the top that says torque 2. Set the force equal
More informationExam 3 Practice Solutions
Exam 3 Practice Solutions Multiple Choice 1. A thin hoop, a solid disk, and a solid sphere, each with the same mass and radius, are at rest at the top of an inclined plane. If all three are released at
More informationChapter 10. Rotation of a Rigid Object about a Fixed Axis
Chapter 10 Rotation of a Rigid Object about a Fixed Axis Angular Position Axis of rotation is the center of the disc Choose a fixed reference line. Point P is at a fixed distance r from the origin. A small
More informationRotational Kinematics, Physics. Worksheet 1: Practice working with rotation and revolution
Rotational Kinematics, Physics Worksheet 1: Practice working with rotation and revolution Circular motion can involve rotation and/or revolution. Rotation occurs when the object spins about an internal
More informationChapter 8 - Rotational Dynamics and Equilibrium REVIEW
Pagpalain ka! (Good luck, in Filipino) Date Chapter 8 - Rotational Dynamics and Equilibrium REVIEW TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1) When a rigid body
More informationChapter 8, Rotational Equilibrium and Rotational Dynamics. 3. If a net torque is applied to an object, that object will experience:
CHAPTER 8 3. If a net torque is applied to an object, that object will experience: a. a constant angular speed b. an angular acceleration c. a constant moment of inertia d. an increasing moment of inertia
More informationPLANAR KINETIC EQUATIONS OF MOTION (Section 17.2)
PLANAR KINETIC EQUATIONS OF MOTION (Section 17.2) We will limit our study of planar kinetics to rigid bodies that are symmetric with respect to a fixed reference plane. As discussed in Chapter 16, when
More informationLAB 5: ROTATIONAL DYNAMICS
1 Name Date Day/Time of Lab Partner(s) Lab TA OBJECTIVES LAB 5: ROTATIONAL DYNAMICS To investigate and understand moment of inertia as it relates to rotational motion. To relate angular and linear position,
More informationExperiment 6. Rotational Motion
Experiment 6 Rotational Motion Goals 1. To understand the rotational motion o a rigid body. 2. To study dierent types o rictional losses in a rotating system that lead to decay. 3. To explore the use o
More informationVersion 001 Rotational Motion ramadoss (171) 1
Version 001 Rotational Motion ramadoss (171) 1 This print-out should have 48 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. Please do the
More informationRotational Motion and Angular Displacement
Physics 20 AP - Assignment #5 Angular Velocity and Acceleration There are many examples of rotational motion in everyday life (i.e. spinning propeller blades, CD players, tires on a moving car ). In this
More informationLAB 8: ROTATIONAL DYNAMICS
Name Date Partners LAB 8: ROTATIONAL DYNAMICS 133 Examples of rotation abound throughout our surroundings OBJECTIVES To study angular motion including angular velocity and angular acceleration. To relate
More information