Lab 8: Centripetal Acceleration
|
|
- Marcus Dickerson
- 5 years ago
- Views:
Transcription
1 PHYS 211 Lab 8 1 Lab 8: Centripetal Acceleration Introduction: In this lab you will confirm Newton s Second Law of Motion by examining the dynamic and static force exerted on a mass by a spring. The dynamic force exerted on the mass causes acceleration, which is centripetal acceleration in this case. Theory: To confirm Newton s Second Law, you will examine a mass undergoing uniform circular motion, or motion in a circle or circular arc at a constant speed. Although the speed of an object in uniform circular motion does not vary, the object is accelerating because the velocity changes in direction. The type of acceleration associated with uniform circular motion is called centripetal acceleration, a c. The magnitude of this acceleration is a c = v 2 (1) r where v is the velocity of the object and r is the radius of the circle the object is moving in. The units of centripetal acceleration are m/s 2. During centripetal acceleration at constant speed, the object travels a distance equal to the circumference of a circle with radius r, a distance of 2πr, in time T = 2πr (2) v where T is called the period of revolution, or, simply, the period. The period is measured in units of seconds, r is measured in meters, and velocity is measured in m/s. The period, in general, is the time it takes the object to go around a closed circle once. For an object to accelerate, a force F must act on it. This is Newton s Second Law of Motion, which specifically says that the acceleration of an object is proportional to the net outside force, F net, acting on the object. The statement of this law as an equation is F net = ma (3) where m is the mass of the object in kg and a is the acceleration of the object in m/s 2. The units of force are Newtons (N) (1 N= 1 kgm/s 2 ). By this law, for an object to be accelerating under uniform circular motion, a force must be acting on it. In this lab a mass m is attached to a spring and is rotated about the end of the spring by a motor. The spring applies a force on the mass, which gives it a centripetal acceleration. For this case, Newton s Second Law can be written as F d = m v 2 (4) r where F d is the dynamic force of the spring on the mass (see Figure 1). If we can measure the period T of rotation and we know the radius of rotation r, the velocity of the mass is v = 2πr = 2πrf (5) T
2 PHYS 211 Lab 8 2 where f is the frequency of the rotation (f=1/t). Figure 1. Free body diagram for the dynamic force. Combining equations 4 and 5, we find the dynamic force of the spring on the mass to be F d = 4π 2 mrf 2 (6) The spring can also exert a static force on the mass. The static spring force can be determined by hanging the mass from the spring in a vertical direction. Additional mass M can be hung from the mass m until the spring extends the same distance r as it did while rotating (see Figure 2). Figure 2. Free body diagram for the static force. When this is the case, the static force of the spring on the masses is F s = (m + M)g (7) Since the spring extension is the same for both the static and dynamic case, F s =F d. Equations 6 and 7 can therefore be equated, yielding M = 4π 2 mr g f 2 m (8) If Equation 8 can be verified, then the theoretical expression for the dynamic force of the spring (Equation 4) that causes the centripetal acceleration can also be verified. In this lab you will determine the frequency of rotation f that is proportional to the dynamic force while varying the tension of the spring. For each value of spring tension you will determine the mass M required to yield an equivalent static force. By plotting M
3 PHYS 211 Lab 8 3 vs. f2 and verifying that the slope of that line is equivalent to 4π2mr/g you will verify the theory yielding Equation 8. Apparatus: The apparatus consists of a metal frame with a cylindrical mass m attached to a coil spring and mounted inside it (Figure 3). The frame assembly is placed into a motor driven, variable speed rotator. The tension in the spring is adjusted by turning a threaded collar to which the spring is fastened. While at rest, the cylinder is held by the spring against a stop. When the apparatus is rotated about a vertical axis, the mass moves outward producing an extension of the spring. A pointer is loosely pivoted such that when the cylinder presses against it its tip moves upward through a range of a few mm. In operation, the speed is adjusted until the pointer is opposite its index. Since the index is practically on the axis of rotation, the position of the pointer can be clearly seen while the apparatus is rotating. Figure 3. Frame assembly of centripetal acceleration apparatus. Safety: o This apparatus rotates a metal frame at speeds that could cause injury if it were to contact your body. Be aware of where you place your hands while operating the apparatus when it is rotating at speed. o Loose clothing or long hair could become tangled in the rotating frame. Roll up your sleeves or tie back your hair while operating or working near the apparatus. o Make sure you know were the on/off switch of the apparatus is located so you can turn it off quickly if you need to.
4 PHYS 211 Lab 8 4 There are a few things to note about the operation of the apparatus: A revolution counter is attached to the frame of the rotator by means of a steel spring that normally holds the counter disengaged from the rotating spindle. By pressing with a finger on the end of the spring, the counter gear is engaged with an identical gear on the spindle. Some may find depressing the spring with their thumb to be more comfortable. The speed of rotation of the spindle is controlled by adjusting the point of contact of the friction disk past the center of the driving disk on the variable speed rotator. The direction of rotation is reversed by moving the friction disk past the center of the driving disk. A few minutes of operating the apparatus will teach you how it works. However, adjusting the speed so that the needle sits exactly opposite the index will take some practice. Be patient. Part I: Determine the frequency of rotation Procedure: Adjust the spring tension to a minimum by means of the threaded collar attached to the spring. 1. Record the value on the scale corresponding to this position of the threaded collar on the table provided. Make sure the centripetal force apparatus is mounted securely on the rotator spindle and that the axis of rotation is vertical. Set the friction disk so that it is near the center of the driving disk. Turn the rotator on. Adjust the direction so that the frame is rotating clockwise. Adjust the speed control until the pointer is just opposite the index. Practice regulating the speed until you are able to keep the pointer moving about the index with as little upward and downward oscillation as possible. 2. Record the initial reading on the counter, N i, in the table provided. Engage the counter gear for 30 s by pressing down the tab next to the counter. You can use the second hand on the wall clock to measure the time interval. You might have to continue to adjust the speed of the rotator while taking data, as the timing gear may slow down the apparatus. 3. Record the final reading on the counter, N f,, in the table provided. Reverse the direction of the rotator and repeat the measurement of the number of rotations in 30 s. If the clockwise and counterclockwise values for ΔN differ by more than 5%, repeat the measurements.
5 PHYS 211 Lab 8 5 Part II: Determine the mass M necessary to exert a static force equivalent to the dynamic force Procedure: Remove the centripetal force apparatus from the rotator and suspend it with the mass m down. Attach a mass hanger to the string attached to the mass m. Add mass until the pointer is again lined up with the index. When this is the case, the force on the spring due to the force of gravity acting on the masses m and M is equal to the dynamic force exerted when the apparatus was rotating. 4. Record the total mass M on the mass hanger. 5. Use the calipers to measure the distance r between the axis of rotation (indicated by a scribed line on the frame) and the center of the mass m. Record the measured value of r in your lab notebook. Change the tension of the spring and repeat the procedures of Parts I and II. Do this for at least five different spring tensions. Fill in the table provided as you work. Cut out the table and insert it into your lab notebook. Rotation direction Spring index N i N f ΔN Δt (s) T (s) f (s -1 ) M (kg)
6 PHYS 211 Lab 8 6 Part III: Plot the data and compare the experimentally and theoretical determined slopes If M is plotted versus f 2, the slope of the resulting line should be equal to 4π 2 mr/g, if Equation 8 is true. Procedure: 6. Use the computer program Logger Pro to graph M versus f 2. Input your data for M (in kg) and f 2 (in s -1 ) into two manual columns Plot your data. Make sure your axes are appropriately scaled and labeled. Turn on Point Protectors. Give your graph an appropriate title. Apply a linear fit to the data. You now have the experimentally determined slope. By double clicking the box that pops up on your graph, select Show Uncertainty to see an estimate of the error in the experimental slope (δslope) and y intercept of the linear line. Record the slope and its associated uncertainty in your lab notebook. Print your graph. Choose Landscape under Page Setup. Make sure everyone in your group gets a copy. Insert your graph into your lab notebook. 7. Use the value of r that you measured to calculate the theoretical slope 4π 2 mr/g. The mass m of the mass attached to the spring is stamped onto it. Convert this mass to kg. Use g=9.81 m/s 2. Show all your calculations in your lab notebook. Use correct units. Part IV: Error Analysis 8. Apply the appropriate rule for determining uncertainty to the theoretical expression for the slope. Calculate the uncertainty in the theoretical slope, δslope. Be sure to record your values for δm and δr and show all of your work. 9. Report your theoretical and experimental values for slope ± δslope in your lab notebook. Conclusions 10. How well do the theoretical and experimental values for the slope agree? Did you verify Newton s Second Law? Explain. 11. What should the y-intercept of the linear line fitted to your plot of M versus f 2 be equal to? Calculate the percent difference between the y-intercept given from Logger Pro and the expected value. How well do they agree? 12. What are the sources of systematic and random error in this experiment that are not accounted for in the error analysis? List at least two of each.
Physics Spring 2006 Experiment 4. Centripetal Force. For a mass M in uniform circular motion with tangential speed v at radius R, the required
Centripetal Force I. Introduction. In this experiment you will study the centripetal force required for a mass in uniform circular motion. You will determine the centripetal forces required for different
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 informationPC1141 Physics I Circular Motion
PC1141 Physics I Circular Motion 1 Purpose Demonstration the dependence of the period in circular motion on the centripetal force Demonstration the dependence of the period in circular motion on the radius
More informationExperiment 3: Centripetal Force
012-05293F Complete Rotational System Experiment 3: Centripetal Force EQUIPMENT NEEDED - Centripetal Force Accessory (ME-8952) - Rotating Platform (ME-8951) - Stopwatch - Balance - Graph paper (2 sheets)
More informationForce and Acceleration in Circular Motion
Force and Acceleration in Circular Motion INTRODUCTION Acceleration is the time rate of change of velocity. Since velocity is a vector, it can change in two ways: its magnitude can change and its direction
More informationPHYSICS LAB Experiment 3 Fall 2004 CENTRIPETAL FORCE & UNIFORM CIRCULAR MOTION
CENTRIPETAL FORCE & UNIFORM CIRCULAR MOTION In this experiment we will explore the relationship between force and acceleration for the case of uniform circular motion. An object which experiences a constant
More informationUniform Circular Motion
Uniform Circular Motion INTRODUCTION Uniform circular motion is the motion of an object traveling at a constant (uniform) speed in a circular path. Besides the speed, there are several other variables
More informationPHYS221 Experiment 7 - Centripetal Force
Experiment 7 - Centripetal Force Spring Tension Setting Bob Apparatus Variable Speed Control Automatic Counter Fig. 7-1 Centripetal Force Apparatus. Note: NO HANGER when upright! Fig. 7-2 Centripetal Force
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 informationCentripetal Force. Equipment: Centripetal Force apparatus, meter stick, ruler, timer, slotted weights, weight hanger, and analog scale.
Centripetal Force Equipment: Centripetal Force apparatus, meter stick, ruler, timer, slotted weights, weight hanger, and analog scale. 1 Introduction In classical mechanics, the dynamics of a point particle
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 informationSemester I lab quiz Study Guide (Mechanics) Physics 135/163
Semester I lab quiz Study Guide (Mechanics) Physics 135/163 In this guide, lab titles/topics are listed alphabetically, with a page break in between each one. You are allowed to refer to your own handwritten
More informationThe Circular Motion Lab
Name Date Class Answer questions in complete sentences The Circular Motion Lab Introduction We have discussed motion in straight lines and parabolic arcs. But many things move in circles or near circles,
More informationEXPERIMENT 4: UNIFORM CIRCULAR MOTION
LAB SECTION: NAME: EXPERIMENT 4: UNIFORM CIRCULAR MOTION Introduction: In this lab, you will calculate the force on an object moving in a circle at approximately constant speed. To calculate the force
More informationPhysics 1050 Experiment 6. Moment of Inertia
Physics 1050 Moment of Inertia Prelab uestions These questions need to be completed before entering the lab. Please show all workings. Prelab 1 Sketch a graph of torque vs angular acceleration. Normal
More informationPhysics 1020 Experiment 6. Equilibrium of a Rigid Body
1 2 Introduction Static equilibrium is defined as a state where an object is not moving in any way. The two conditions for the equilibrium of a rigid body (such as a meter stick) are 1. the vector sum
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 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 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 informationMaterials: One of each of the following is needed: Cart Meter stick Pulley with clamp 70 cm string Motion Detector
Name Date Period Newton s Second Law: Net Force and Acceleration Procedures: Newton s second law describes a relationship between the net force acting on an object and the objects acceleration. In determining
More informationIntroduction to Simple Harmonic Motion
Introduction to Prelab Prelab 1: Write the objective of your experiment. Prelab 2: Write the relevant theory of this experiment. Prelab 3: List your apparatus and sketch your setup.! Have these ready to
More informationSHM Simple Harmonic Motion revised May 23, 2017
SHM Simple Harmonic Motion revised May 3, 017 Learning Objectives: During this lab, you will 1. communicate scientific results in writing.. estimate the uncertainty in a quantity that is calculated from
More informationAP Physics Free Response Practice Dynamics
AP Physics Free Response Practice Dynamics 14) In the system shown above, the block of mass M 1 is on a rough horizontal table. The string that attaches it to the block of mass M 2 passes over a frictionless
More informationExperiment P30: Centripetal Force on a Pendulum (Force Sensor, Photogate)
PASCO scientific Physics Lab Manual: P30-1 Experiment P30: (Force Sensor, Photogate) Concept Time SW Interface Macintosh File Windows File centripetal force 30 m 500 or 700 P30 Centripetal Force P30_CENT.SWS
More informationNewton s Second Law. Sample
Newton s Second Law Experiment 4 INTRODUCTION In your discussion of Newton s first law, you learned that when the sum of the forces acting on an object is zero, its velocity does not change. However, when
More informationLaboratory Exercise. Newton s Second Law
Laboratory Exercise Newton s Second Law INTRODUCTION Newton s first law was concerned with the property of objects that resists changes in motion, inertia. Balanced forces were the focus of Newton s first
More informationExperiment P09: Acceleration of a Dynamics Cart I (Smart Pulley)
PASCO scientific Physics Lab Manual: P09-1 Experiment P09: (Smart Pulley) Concept Time SW Interface Macintosh file Windows file Newton s Laws 30 m 500 or 700 P09 Cart Acceleration 1 P09_CAR1.SWS EQUIPMENT
More informationRotational Equilibrium
Rotational Equilibrium In this laboratory, we study the conditions for static equilibrium. Axis Through the Center of Gravity Suspend the meter stick at its center of gravity, with its numbers increasing
More information2. To study circular motion, two students use the hand-held device shown above, which consists of a rod on which a spring scale is attached.
1. A ball of mass M attached to a string of length L moves in a circle in a vertical plane as shown above. At the top of the circular path, the tension in the string is twice the weight of the ball. At
More informationAP Physics 1 Lesson 9 Homework Outcomes. Name
AP Physics 1 Lesson 9 Homework Outcomes Name Date 1. Define uniform circular motion. 2. Determine the tangential velocity of an object moving with uniform circular motion. 3. Determine the centripetal
More informationChapter 8 Rotational Motion
Chapter 8 Rotational Motion Chapter 8 Rotational Motion In this chapter you will: Learn how to describe and measure rotational motion. Learn how torque changes rotational velocity. Explore factors that
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 informationActivity P10: Atwood's Machine (Photogate/Pulley System)
Name Class Date Activity P10: Atwood's Machine (Photogate/Pulley System) Concept DataStudio ScienceWorkshop (Mac) ScienceWorkshop (Win) Newton's Laws P10 Atwood s.ds P13 Atwood's Machine P13_ATWD.SWS Equipment
More informationPhysics 1050 Experiment 3. Force and Acceleration
Force and Acceleration Prelab uestions! These questions need to be completed before entering the lab. Please show all workings. Prelab 1: Draw the free body diagram for the cart on an inclined plane. Break
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 informationCentripetal Force Lab
Centripetal Force Lab Saddleback College Physics Department, adapted from PASCO Scientific 1. Purpose To use a PASCO apparatus containing a rotating brass object to confirm Newton s Second Law of rotation
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 information13-Nov-2015 PHYS Rotational Inertia
Objective Rotational Inertia To determine the rotational inertia of rigid bodies and to investigate its dependence on the distance to the rotation axis. Introduction Rotational Inertia, also known as Moment
More informationpg B7. A pendulum consists of a small object of mass m fastened to the end of an inextensible cord of length L. Initially, the pendulum is dra
pg 165 A 0.20 kg object moves along a straight line. The net force acting on the object varies with the object's displacement as shown in the graph above. The object starts from rest at displacement x
More informationUnit 7: Oscillations
Text: Chapter 15 Unit 7: Oscillations NAME: Problems (p. 405-412) #1: 1, 7, 13, 17, 24, 26, 28, 32, 35 (simple harmonic motion, springs) #2: 45, 46, 49, 51, 75 (pendulums) Vocabulary: simple harmonic motion,
More informationPre-Lab Exercise Full Name:
L07 Rotational Motion and the Moment of Inertia 1 Pre-Lab Exercise Full Name: Lab Section: Hand this in at the beginning of the lab period. The grade for these exercises will be included in your lab grade
More informationHooke s Law PHYS& 221
Hooke s Law PHYS& 221 Amezola, Miguel Tran, Hai D. Lai, Marco February 25, 2015 Date Performed: 17 February 2015 Instructor: Dr. David Phillips This work is licensed under a Creative Commons Attribution-ShareAlike
More informationEquations: Heat: Q = mcδt Hooke s Law: F = kx Resultant: R 2 = Rx 2 + Ry 2 Tan θ= Ry/Rx
Final Phys 103 95 pts 9 November 2011 Name Equations: Heat: Q = mcδt Hooke s Law: F = kx Resultant: R 2 = Rx 2 + Ry 2 Tan θ= Ry/Rx Practical Questions 1) (5 pts) Measure the length of the provided cylinder
More informationPhysics. Chapter 8 Rotational Motion
Physics Chapter 8 Rotational Motion Circular Motion Tangential Speed The linear speed of something moving along a circular path. Symbol is the usual v and units are m/s Rotational Speed Number of revolutions
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 informationLab 10 Circular Motion and Centripetal Acceleration
Lab 10 Circular Motion and Centripetal Equipment Calculator, Computer, PASCO 850 Universal Interface Partially-assembled Centripetal Force Apparatus Photogate Cable Pair of Banana Wires Objective Verify
More informationLab/Demo 4 Circular Motion and Energy PHYS 1800
Lab/Demo 4 Circular Motion and Energy PHYS 1800 Objectives: Demonstrate the dependence of centripetal force on mass, velocity and radius. Learn to use these dependencies to predict circular motion Demonstrate
More informationPhysics 6A Lab Experiment 6
Biceps Muscle Model Physics 6A Lab Experiment 6 APPARATUS Biceps model Large mass hanger with four 1-kg masses Small mass hanger for hand end of forearm bar with five 100-g masses Meter stick Centimeter
More informationPHY 221 Lab 9 Work and Energy
PHY 221 Lab 9 Work and Energy Name: Partners: Before coming to lab, please read this packet and do the prelab on page 13 of this handout. Goals: While F = ma may be one of the most important equations
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 informationCentripetal Force Exploring Uniform Circular Motion
1 Exploring Uniform Circular Motion An object that moves in a circle at constant speed, v, is said to experience uniform circular motion (UCM). The magnitude of the velocity remains constant, but the direction
More informationExperiment P13: Atwood's Machine (Smart Pulley)
PASCO scientific Physics Lab Manual: P13-1 Experiment P13: Atwood's Machine (Smart Pulley) Concept Time SW Interface Macintosh file Windows file Newton's Laws 45 m 500 or 700 P13 Atwood's Machine P13_ATWD.SWS
More informationDynamics Plane kinematics of rigid bodies Section 4: TJW Rotation: Example 1
Section 4: TJW Rotation: Example 1 The pinion A of the hoist motor drives gear B, which is attached to the hoisting drum. The load L is lifted from its rest position and acquires an upward velocity of
More informationGraphing. C= d (1) Under constant acceleration, the relationship between the distance s an object moves and the time t it takes is given by
Graphing Name Section Physics itself is all about mathematical relationships between variables. In class, you will study some of the more important relationships that have been found to exist. In the lab,
More informationAP Physics Electromagnetic Wrap Up
AP Physics Electromagnetic Wrap Up Here are the glorious equations for this wonderful section. This is the equation for the magnetic force acting on a moving charged particle in a magnetic field. The angle
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 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 informationPhysics 111: Mechanics Lecture 9
Physics 111: Mechanics Lecture 9 Bin Chen NJIT Physics Department Circular Motion q 3.4 Motion in a Circle q 5.4 Dynamics of Circular Motion If it weren t for the spinning, all the galaxies would collapse
More information(a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B.
2003 B1. (15 points) A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One end of the rope is held by Student A of mass 70 kg, who is at rest on
More informationPhysics 1021 Experiment 1. Introduction to Simple Harmonic Motion
1 Physics 1021 Introduction to Simple Harmonic Motion 2 Introduction to SHM Objectives In this experiment you will determine the force constant of a spring. You will measure the period of simple harmonic
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 informationRotational Motion. Variable Translational Motion Rotational Motion Position x θ Velocity v dx/dt ω dθ/dt Acceleration a dv/dt α dω/dt
Team: Rotational Motion Rotational motion is everywhere. When you push a door, it rotates. When you pedal a bike, the wheel rotates. When you start an engine, many parts rotate. Electrons rotate in an
More informationLab 11 Simple Harmonic Motion A study of the kind of motion that results from the force applied to an object by a spring
Lab 11 Simple Harmonic Motion A study of the kind of motion that results from the force applied to an object by a spring Print Your Name Print Your Partners' Names Instructions April 20, 2016 Before lab,
More informationPHY 123 Lab 4 The Atwood Machine
PHY 123 Lab 4 The Atwood Machine The purpose of this lab is to study Newton s second law using an Atwood s machine, and to apply the law to determine the acceleration due to gravity experimentally. This
More informationAP Physics C: Mechanics Practice (Newton s Laws including friction, resistive forces, and centripetal force).
AP Physics C: Mechanics Practice (Newton s Laws including friction, resistive forces, and centripetal force). 1981M1. A block of mass m, acted on by a force of magnitude F directed horizontally to the
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 informationRotational Motion. 1 Introduction. 2 Equipment. 3 Procedures. 3.1 Initializing the Software. 3.2 Single Platter Experiment
Rotational Motion Introduction In this lab you will investigate different aspects of rotational motion, including moment of inertia and the conservation of energy using the smart pulley and the rotation
More informationKinematics. v (m/s) ii. Plot the velocity as a function of time on the following graph.
Kinematics 1993B1 (modified) A student stands in an elevator and records his acceleration as a function of time. The data are shown in the graph above. At time t = 0, the elevator is at displacement x
More information3. If you drag a rip-cord 2.0m across a wheel and it turns 10rad, what is the radius of the wheel? a. 0.1m b. 0.2m c. 0.4m d.
1. Two spheres are rolled across the floor the same distance at the same speed. Which will have the greater angular velocity? a. the smaller sphere b. the larger sphere c. the angular velocities will be
More informationUnit 5 Circular Motion & Gravitation
Unit 5 Circular Motion & Gravitation Essential Fundamentals of Circular Motion & Gravitation 1. A radian is a ratio of an arc s circumference to its diameter. Early E. C.: / 1 Total HW Points Unit 5: /
More informationExperiment 11. Moment of Inertia
Experiment Moment of nertia A rigid body composed of concentric disks is constrained to rotate about its axis of symmetry. The moment of inertia is found by two methods and results are compared. n first
More informationName St. Mary's HS AP Physics Circular Motion HW
Name St. Mary's HS AP Physics Circular Motion HW Base your answers to questions 1 and 2 on the following situation. An object weighing 10 N swings at the end of a rope that is 0.72 m long as a simple pendulum.
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 informationPhysics 2211 ABC Quiz #3 Solutions Spring 2017
Physics 2211 ABC Quiz #3 Solutions Spring 2017 I. (16 points) A block of mass m b is suspended vertically on a ideal cord that then passes through a frictionless hole and is attached to a sphere of mass
More informationChapter 9: Circular Motion
Text: Chapter 9 Think and Explain: 1-5, 7-9, 11 Think and Solve: --- Chapter 9: Circular Motion NAME: Vocabulary: rotation, revolution, axis, centripetal, centrifugal, tangential speed, Hertz, rpm, rotational
More informationThe net force on a moving object is suddenly reduced to zero. As a consequence, the object
The net force on a moving object is suddenly reduced to zero. As a consequence, the object (A) stops abruptly (B) stops during a short time interval (C) changes direction (D) continues at a constant velocity
More informationEXPERIMENT 11 The Spring Hooke s Law and Oscillations
Objectives EXPERIMENT 11 The Spring Hooke s Law and Oscillations To investigate how a spring behaves when it is stretched under the influence of an external force. To verify that this behavior is accurately
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 informationCircular Motion 8.01 W04D1
Circular Motion 8.01 W04D1 Next Reading Assignment: W04D2 Young and Freedman: 3.4; 5.4-5.5 Experiment 2: Circular Motion 2 Concept Question: Coastal Highway A sports car drives along the coastal highway
More informationInvestigating Springs (Simple Harmonic Motion)
Investigating Springs (Simple Harmonic Motion) INTRODUCTION The purpose of this lab is to study the well-known force exerted by a spring The force, as given by Hooke s Law, is a function of the amount
More informationChapter 9 Rotational Dynamics
Chapter 9 ROTATIONAL DYNAMICS PREVIEW A force acting at a perpendicular distance from a rotation point, such as pushing a doorknob and causing the door to rotate on its hinges, produces a torque. If the
More informationPHYS 101 Previous Exam Problems. Kinetic Energy and
PHYS 101 Previous Exam Problems CHAPTER 7 Kinetic Energy and Work Kinetic energy Work Work-energy theorem Gravitational work Work of spring forces Power 1. A single force acts on a 5.0-kg object in such
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 informationForce and Motion 20 N. Force: Net Force on 2 kg mass = N. Net Force on 3 kg mass = = N. Motion: Mass Accel. of 2 kg mass = = kg m/s 2.
Force and Motion Team In previous labs, you used a motion sensor to measure the position, velocity, and acceleration of moving objects. You were not concerned about the mechanism that caused the object
More informationThe purpose of this laboratory exercise is to verify Newton s second law.
Newton s Second Law 3-1 Newton s Second Law INTRODUCTION Sir Isaac Newton 1 put forth many important ideas in his famous book The Principia. His three laws of motion are the best known of these. The first
More informationCircular Motion Concept Questions
Circular Motion Concept Questions Question 1 A bead is given a small push at the top of a hoop (position A) and is constrained to slide around a frictionless circular wire (in a vertical plane). Circle
More informationConstant velocity and constant acceleration
Constant velocity and constant acceleration Physics 110 Laboratory Introduction In this experiment we will investigate two rather simple forms of motion (kinematics): motion with uniform (non-changing)
More informationPHY 221 Lab 7 Work and Energy
PHY 221 Lab 7 Work and Energy Name: Partners: Goals: Before coming to lab, please read this packet and do the prelab on page 13 of this handout. Note: originally, Lab 7 was momentum and collisions. The
More informationΣF=ma SECOND LAW. Make a freebody diagram for EVERY problem!
PHYSICS HOMEWORK #31 SECOND LAW ΣF=ma NEWTON S LAWS Newton s Second Law of Motion The acceleration of an object is directly proportional to the force applied, inversely proportional to the mass of the
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 informationPhysics 12. Unit 5 Circular Motion and Gravitation Part 1
Physics 12 Unit 5 Circular Motion and Gravitation Part 1 1. Nonlinear motions According to the Newton s first law, an object remains its tendency of motion as long as there is no external force acting
More informationFigure 5.1a, b IDENTIFY: Apply to the car. EXECUTE: gives.. EVALUATE: The force required is less than the weight of the car by the factor.
51 IDENTIFY: for each object Apply to each weight and to the pulley SET UP: Take upward The pulley has negligible mass Let be the tension in the rope and let be the tension in the chain EXECUTE: (a) The
More informationEnd-of-Chapter Exercises
End-of-Chapter Exercises For all these exercises, assume that all strings are massless and all pulleys are both massless and frictionless. We will improve our model and learn how to account for the mass
More informationPhysics lab Hooke s Law and Pendulums
Name: Date: Physics lab Hooke s Law and Pendulums Part A: Hooke s Law Introduction Hooke s Law explains the relationship between the force exerted on a spring, the stretch of the string, and the spring
More informationLab 3. Adding Forces with a Force Table
Lab 3. Adding Forces with a Force Table Goals To describe the effect of three balanced forces acting on a ring or disk using vector addition. To practice adding force vectors graphically and mathematically
More informationCircular Motion PreTest
Circular Motion PreTest Date: 06/03/2008 Version #: 0 Name: 1. In a series of test runs, a car travels around the same circular track at different velocities. Which graph best shows the relationship between
More informationLab 3. Adding Forces with a Force Table
Lab 3. Adding Forces with a Force Table Goals To describe the effect of three balanced forces acting on a ring or disk using vector addition. To practice adding force vectors graphically and mathematically
More informationName Date Period PROBLEM SET: ROTATIONAL DYNAMICS
Accelerated Physics Rotational Dynamics Problem Set Page 1 of 5 Name Date Period PROBLEM SET: ROTATIONAL DYNAMICS Directions: Show all work on a separate piece of paper. Box your final answer. Don t forget
More informationLab 10: Harmonic Motion and the Pendulum
Lab 10 Harmonic Motion and the Pendulum 119 Name Date Partners Lab 10: Harmonic Motion and the Pendulum OVERVIEW A body is said to be in a position of stable equilibrium if, after displacement in any direction,
More informationAP* Circular & Gravitation Free Response Questions
1992 Q1 AP* Circular & Gravitation Free Response Questions A 0.10-kilogram solid rubber ball is attached to the end of a 0.80-meter length of light thread. The ball is swung in a vertical circle, as shown
More information