# MAKE SURE TA & TI STAMPS EVERY PAGE BEFORE YOU START

Save this PDF as:

Size: px
Start display at page:

Download "MAKE SURE TA & TI STAMPS EVERY PAGE BEFORE YOU START"

## Transcription

1 Laboratory Section: Last Revised on September 21, 2016 Partners Names: Grade: EXPERIMENT 11 Velocity of Waves 0. Pre-Laboratory Work [2 pts] 1.) What is the longest wavelength at which a sound wave will be resonant in a pipe of length L which is open at one end and closed at the other? Assume that for resonance there will be an anti-node in the displacement of the air at the open end and a node at the closed end. Drawing a picture may be useful. (1 pt) 2.) Give a detailed explanation of how you are going to measure the frequency in the second part of the lab using the sonometer apparatus and an oscilloscope. (1 pt) TA or TI Signature 1 of 11

2 Last Revised on December 15, 2014 EXPERIMENT 11 Velocity of Waves 1. Purpose To determine the speed of sound in air, and to find the relationship between the velocity of a wave in a string, the linear density, and the tension. You will do this by performing two different experiments:. Speed of Sound in Air. Sonometer: Waves in a Stretched String For the second experiment, the measurements from the oscilloscope is required. Please go to the following video link to get familiar with the oscilloscope before : (or just type Scope Primer on the youtube.) 2. Introduction Recall our knowledge of standing waves established in a stretched string that is fixed at both ends. A wave traveling down the length of the string is reflected at the end and returns in the opposite direction (with the same wavelength). If the length of the string is chosen such that the superposition of these two waves establishes a pattern of standing waves, we call this condition resonance. Furthermore, the distance between adjacent nodes in the pattern of standing waves will be half the wavelength of the wave itself. l/2 Likewise, standing sound waves can be achieved in a tube with either one or both ends open. As with the stretched string, resonance is established if the length of the tube is chosen appropriately according to the wavelength (or frequency) of the sound waves. The open end of the tube corresponds to the location of a displacement anti-node, i.e., where the amplitude of the TA or TI Signature 2 of 11

3 oscillation is at its maximum value. The closed end of the tube corresponds to a displacement node, i.e., where the amplitude of the oscillation is zero. The fundamental harmonic, f 0, corresponds to the lowest frequency at which standing waves are established. The second harmonic, f 1, is the 2 nd lowest frequency resulting in standing waves. The same applies for higher order harmonics. Note that the second harmonic has a subscript of 1, this is the standard notation and will be used in this lab. As we know, the speed (v), the frequency ( f ), and the wavelength (l) are related by v l f Equation 11.1 Thus, if we can determine the wavelength (l) of sound within a tube and its frequency ( f ), then we can easily determine the speed of sound (v). 3. Laboratory Work 3.1 Speed of Sound in Air Introduction Longitudinal vibrations produced by a tuning fork are transmitted through the air into a plastic tube with an adjustable piston at one end (see Figure 11.1). By suitably adjusting the length of the air column using the piston, standing waves are produced in it. The locations of the nodes of the standing waves are determined by the length of the air column required to produce resonance. By knowing the distance between the nodes, the wavelength of the vibration can be found. Since the frequency of the tuning fork is given, it is stamped on the side of the fork, the speed of sound in the air can be calculated. Let f, be the frequency of vibration of the tuning fork. This will also be the frequency of the tone in the air column. If l is the wavelength of the sound in air, then the speed of sound in air is just, v l f Equation 11.2 Procedure 1.) Set up the apparatus as shown in the diagram below. Position the tuning fork at the end of the plastic tube with its edge about 1 cm from the open end of the tube. Figure 11.1 TA or TI Signature 3 of 11

4 2.) Firmly strike the tuning fork with the rubber mallet. Be careful that the tuning fork does not strike the tube. Do not strike the fork with or against any hard object as damage may result. 3.) Vary the effective length of the tube by moving the piston through its complete range and determine the positions of each of the nodes by listening for resonance. Loud resonance corresponds to an anti-node (also found at the open end of the tube). 4.) Record the distance of each node from the open end of the tube in Table 11.1, and make an estimate of the uncertainty in the measurements. 5.) Record the frequency of the tuning fork in Table ) Repeat 2)-5) with at least two other tuning forks of different frequencies. 3.2 Sonometer: Waves in a Stretched String Introduction The Somometer is shown in the diagram below. This apparatus allows us to vary the tension (T), length (L) and linear density ( ) of the string and to observe the changes in the frequencies of the vibrated string. Figure 11.2 The driver and the detector coil can be placed anywhere along the string. The driver coil drives the string vibrations at any frequency your function generator will produce. The frequency observed on the wire is usually twice the driver frequency because the driver electromagnet exerts a force on the wire twice during each cycle. The detector coil allows you to view the vibration of the string on your oscilloscope. Set the amplitude of the function generator to its maximum value in order to see the largest string vibrations. TA or TI Signature 4 of 11

5 3.2.1 Standing Waves in a Known Wire In this section of the lab we will be using the Sonometer to look for and identify the standing wave modes in a stretched string. Procedure 1.) Start with the bridges 60 cm apart. Use any of the included strings and hang a mass of approximately 1 kg (being sure to include the mass of the hanger itself) from the first slot of the tensioning lever (see Figure 11.3). Adjust the string adjustment knob so that the tensioning lever is horizontal. Position the driver coil 5 cm from one of the bridges and position the detector coil near the center of the wire. Record the length, tension (N) and linear density of the string in Table Color Code Diameter (inches) Linear Density, (g/m) White Blue Unknown Red Yellow Unknown Black ) Calculate the resonant frequency of the fundamental harmonic, f 0, using, v l f 0 0 Equation 11.3 where l 0 = 2L and the velocity of the wave is related to the tension and the linear density in the following way, T v Equation ) Slowly increase the frequency of the signal to the driver coil, starting at 25 Hz. Listen for an increase in the volume of the sound from the sonometer and/or an increase in the size of the detector signal on the oscilloscope. Frequencies that result in the maximum string vibration are resonant frequencies. Determine the lowest frequency at which resonance occurs. This resonance is the first, or fundamental, harmonic. Measure the frequency of the standing wave using the oscilloscope. You do so, by measuring the period,, of the wave in the string using the detector coil. The period is calculated knowing the number of divisions between peaks and the time per division. There will be some uncertainty, Δ, from this measurement based on the precision with which you can read the period from the oscilloscope. The frequency is simply the inverse of the period. 4.) Continue increasing the frequency of the driver coil to find successive resonant frequencies (at least 2 or 3). Think about how the frequencies and wavelength for harmonics are related to the fundamental frequency and wavelength. TA or TI Signature 5 of 11

6 5.) Record the number of anti-nodes, the measured and calculated resonance frequency for each harmonic in Table Think about how the number of anti-nodes is related to the order of the harmonic. 6.) When done with the wire, put it back in the appropriate location Finding the Linear Density of an Unknown Wire In this section of the lab, you will determine the linear density of an unknown wire using the Sonometer apparatus. Procedure 1.) Replace the wire on the Sonometer with a color coded unknown wire. Then with the set up the same as in the previous section measure the fundamental harmonic, f 0, using 5 different tensions. Vary the tension by keeping the mass the same, but changing the location of the mass on the tensioning lever (see Figure 11.3). Change the string adjustment knob each time you move the mass so that the tensioning lever is always horizontal. Figure ) Record the color code of the unknown wire, as well as, the node spacing, and the period of the wave as picked up by the detector coil using the oscilloscope for each of the five tensions in Table ) When done with the wire, put it back in the appropriate location. TA or TI Signature 6 of 11

7 Name: Laboratory Section: Laboratory Section Date: Partners Names: Grade: Last Revised on September 21, 2016 EXPERIMENT 11 Velocity of Waves 4. Post-Laboratory Work [20 pts] 4.1 Speed of Sound in Air [8 pts] Measurement Data 1.) Record the frequency of the tuning fork, and the distance from each node to the open end of the tube. Frequency (Hz) Distance to Node (m) Distance to Node (m) Distance to Node (m) Table 11.1 Calculations 2.) Calculate the average distance between consecutive nodes for each frequency. This distance is l/2 for the sound wave. Show a sample calculation below. (2 pts) TA or TI Signature 7 of 11

8 3.) Calculate the speed of sound in air for each of the tuning forks. Show your work. (2pts) 4.) Determine the average velocity of sound in air and its uncertainty using the standard deviation of your three velocity values. Show your work. (2pts) 5.) Using your value of the uncertainly from above, compare your results with the value resulting from the following formula for the speed of sound in air as a function of temperature, v v T Equation where v 0 = 332 m/sec is the speed of sound in air at 0 C and T is the temperature in degrees Celsius. (2pts) TA or TI Signature 8 of 11

9 4.2 Sonometer: Waves in a Stretched String Standing Waves in a Known Wire [12 pts] 6.) Calculate the resonant frequency of the fundamental harmonic using Equations 11.3 and Show your work. (1 pt) 7.) Record the number of anti-nodes, the calculated and the measured resonant frequencies for a given length of string, tension and linear density. (1 pt) Length of String = Tension = Linear Density = Number of Anti-Nodes Calculated Resonant Frequency (Hz) Measured Period, (sec) Uncertainty in Measured Period, Δ (sec) Measured Resonant Frequency (Hz) Table Finding the Linear Density of an Unknown Wire 8.) Record the color code of the unknown wire, the node spacing, and the period of the wave for each of the five tensions. Color Code of the Unknown Wire: Tension, T (N) Node Spacing (cm) Period, (sec) Table 11.3 Calculations 9.) Calculate the velocity and the uncertainty in the velocity of the wave for each of the five tensions using the measured wavelength and the period of the fundamental harmonic. Hint, how do you relate the period of the fundamental harmonic as measured on the oscilloscope to its frequency. Use propagation of error to find that l the uncertainty in the velocity is v, assuming the measured wavelength has 2 TA or TI Signature 9 of 11

10 no error associated with it. Put your results in Table Show your work for one calculation. (3 pts) Tension (T) l (m) f (Hz) v (m/s) 2 v (m/s) v (m/s) Table ) Plot v 2 versus T on the axis provided. Include labels, units, and the uncertainty in v 2 2. The uncertainty in the square of the velocity is just v 2 v. Is the relationship linear? Find the slope of the line. This slope is 1/, where is the linear density of the unknown wire. Show your work. (3 pts) TA or TI Signature 10 of 11

11 11.) Calculate the error in 1/ from the max./min. slopes as found in the graph above. This means that you calculate a maximum and a minimum slope through the high and the low error bars, and then use these slopes to calculate an average slope and the error or uncertainty in the average slope. Consider the following example: (3 pts) m 1 m 2 where m 1 is the maximum slope and m 2 is the minimum slope. Then the average slope is just the following: m 1 m 2 m Equation In addition, the error or uncertainty in this average slope is just: m 1 m 2 m Equation ) How does the value of from the slope compare to the accepted value of your color coded wire? Is it within error of the accepted value? (Ask your TA for the accepted value of for your unknown wire.) (1 pt) TA or TI Signature 11 of 11

### Standing Waves Physics Lab I

Standing Waves Physics Lab I Objective In this series of experiments, the resonance conditions for standing waves on a string will be tested experimentally. Equipment List PASCO SF-9324 Variable Frequency

### The Sonometer The Resonant String and Timbre Change after plucking

The Sonometer The Resonant String and Timbre Change after plucking EQUIPMENT Pasco sonometers (pick up 5 from teaching lab) and 5 kits to go with them BK Precision function generators and Tenma oscilloscopes

### PHYSICS EXPERIMENTS (SOUND)

PHYSICS EXPERIMENTS (SOUND) In the matter of physics, the first lessons should contain nothing but what is experimental and interesting to see. A pretty experiment is in itself often more valuable than

### Standing Waves and the Velocity of Sound

Chapter 8 Standing Waves and the Velocity of Sound 8.1 Purpose In this experiment we will be using resonance points of a sound wave traveling through an open tube to measure the speed of sound in air.

### 08/19/09 PHYSICS 223 Exam-2 NAME Please write down your name also on the back side of this exam

08/19/09 PHYSICS 3 Exam- NAME Please write down your name also on the back side of this exam 1. A sinusoidal wave of frequency 500 Hz has a speed of 350 m/s. 1A. How far apart (in units of cm) are two

### 1) The time for one cycle of a periodic process is called the A) wavelength. B) period. C) frequency. D) amplitude.

practice wave test.. Name Use the text to make use of any equations you might need (e.g., to determine the velocity of waves in a given material) MULTIPLE CHOICE. Choose the one alternative that best completes

### Resonance in a Closed End Pipe

Experiment 12 Resonance in a Closed End Pipe 12.1 Objectives Determine the relationship between frequency and wavelength for sound waves. Verify the relationship between the frequency of the sound, the

### Waves and Sound. AP Physics B

Waves and Sound AP Physics B What is a wave A WAVE is a vibration or disturbance in space. A MEDIUM is the substance that all SOUND WAVES travel through and need to have in order to move. Two types of

### STANDING WAVES & ACOUSTIC RESONANCE

REFERENCES & ACOUSTIC RESONANCE R.H. Randall, An Introduction to Acoustics, (Addison-Wesley, 1951), Sect. 7-1, 7-. A.B. Wood, A Textbook of Sound, (Bell & Sons, 1944), pp.179 et seq. Berkeley Physics Course,

### LAB #11: RESONANCE IN AIR COLUMNS

OBJECTIVES: LAB #11: RESONANCE IN AIR COLUMNS To determine the speed of sound in air by using the resonances of air columns. EQUIPMENT: Equipment Needed Qty Equipment Needed Qty Resonance Tube Apparatus

### Resonance and the Speed of Sound

Name: Partner(s): Date: Resonance and the Speed of Sound 1. Purpose Sound is a common type of mechanical wave that can be heard but not seen. In today s lab, you will investigate the nature of sound waves

### Hooke s Law and Simple Harmonic Motion

Hooke s Law and Simple Harmonic Motion OBJECTIVE to measure the spring constant of the springs using Hooke s Law to explore the static properties of springy objects and springs, connected in series and

### AP1 Waves. (A) frequency (B) wavelength (C) speed (D) intensity. Answer: (A) and (D) frequency and intensity.

1. A fire truck is moving at a fairly high speed, with its siren emitting sound at a specific pitch. As the fire truck recedes from you which of the following characteristics of the sound wave from the

### Superposition and Standing Waves. Solutions of Selected Problems

Chapter 18 Superposition and Standing Waves. s of Selected Problems 18.1 Problem 18.8 (In the text book) Two loudspeakers are placed on a wall 2.00 m apart. A listener stands 3.00 m from the wall directly

### The Physics of Guitar Strings

The Physics of Guitar Strings R. R. McNeil 1. Introduction The guitar makes a wonderful device to demonstrate the physics of waves on a stretched string. This is because almost every student has seen a

### Chapter 11. Waves & Sound

Chapter 11 Waves & Sound 11.2 Periodic Waves In the drawing, one cycle is shaded in color. The amplitude A is the maximum excursion of a particle of the medium from the particles undisturbed position.

### v = λ f this is the Golden Rule for waves transverse & longitudinal waves Harmonic waves The golden rule for waves Example: wave on a string Review

L 23 Vibrations and Waves [3] resonance clocks pendulum springs harmonic motion mechanical waves sound waves golden rule for waves musical instruments The Doppler effect Doppler radar radar guns Review

### Standing Waves on a String

1 of 6 Standing Waves on a String Summer 2004 Standing Waves on a String If a string is tied between two fixed supports, pulled tightly and sharply plucked at one end, a pulse will travel from one end

### SOLUTIONS TO CONCEPTS CHAPTER 15

SOLUTIONS TO CONCEPTS CHAPTER 15 1. v = 40 cm/sec As velocity of a wave is constant location of maximum after 5 sec = 40 5 = 00 cm along negative x-axis. [(x / a) (t / T)]. Given y = Ae a) [A] = [M 0 L

### State Newton's second law of motion for a particle, defining carefully each term used.

5 Question 1. [Marks 28] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding

### 16.2 Periodic Waves Example:

16.2 Periodic Waves Example: A wave traveling in the positive x direction has a frequency of 25.0 Hz, as in the figure. Find the (a) amplitude, (b) wavelength, (c) period, and (d) speed of the wave. 1

### 18 Q0 a speed of 45.0 m/s away from a moving car. If the car is 8 Q0 moving towards the ambulance with a speed of 15.0 m/s, what Q0 frequency does a

First Major T-042 1 A transverse sinusoidal wave is traveling on a string with a 17 speed of 300 m/s. If the wave has a frequency of 100 Hz, what 9 is the phase difference between two particles on the

### OBSERVATIONS Serial. No. Reading of meniscus Reading of pointer tip Height h 1 - M.S.R V.S.R T.R(h 1 ) M.S.R V.S.R T.R(h 2 ) h 2 = h (cm)

EXPERIMENT 11 AIM To determine the surface tension of water by capillary rise method. Capillary tube and a tipped pointer clamped in a stand, travelling microscope, clean water in a beaker. Surface tension,

### Lab M1: The Simple Pendulum

Lab M1: The Simple Pendulum Introduction. The simple pendulum is a favorite introductory exercise because Galileo's experiments on pendulums in the early 1600s are usually regarded as the beginning of

### 15160 Resonance Tube Set

CONTENTS Included o (1) Long Tube o (1) Short Tube o (1) Styrene Plug o (1) Tuning Fork, 512 Hz o (1) Rubber Mat, 3 diameter Suggested Accessories o Tuning Forks (other frequencies) o (1) Oscilloscope

### A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion

A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion Objective In the experiment you will determine the cart acceleration, a, and the friction force, f, experimentally for

### PHYSICS 202 Practice Exam Waves, Sound, Reflection and Refraction. Name. Constants and Conversion Factors

PHYSICS 202 Practice Exam Waves, Sound, Reflection and Refraction Name Constants and Conversion Factors Speed of sound in Air œ \$%!7Î= "'!*7/>/

I. A mechanical device shakes a ball-spring system vertically at its natural frequency. The ball is attached to a string, sending a harmonic wave in the positive x-direction. +x a) The ball, of mass M,

### State Newton's second law of motion for a particle, defining carefully each term used.

5 Question 1. [Marks 20] An unmarked police car P is, travelling at the legal speed limit, v P, on a straight section of highway. At time t = 0, the police car is overtaken by a car C, which is speeding

### VIBRATION OF A WIRE N N N N. Fig.1. The first five modes of vibration of a stretched wire. The nodes are marked N.

VIBRATIO OF A WIRE This experiment investigates the modes of vibration of a stretched wire. These are standing waves and the first five modes are shown in Fig.1. The observed phenomena are common to all

### Physics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives

Physics 9e/Cutnell correlated to the College Board AP Physics 1 Course Objectives Big Idea 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Enduring

### EXCEL EXERCISE AND ACCELERATION DUE TO GRAVITY

EXCEL EXERCISE AND ACCELERATION DUE TO GRAVITY Objective: To learn how to use the Excel spreadsheet to record your data, calculate values and make graphs. To analyze the data from the Acceleration Due

### Chapter 15, example problems:

Chapter, example problems: (.0) Ultrasound imaging. (Frequenc > 0,000 Hz) v = 00 m/s. λ 00 m/s /.0 mm =.0 0 6 Hz. (Smaller wave length implies larger frequenc, since their product,

### Prelab Exercises: Hooke's Law and the Behavior of Springs

59 Prelab Exercises: Hooke's Law and the Behavior of Springs Study the description of the experiment that follows and answer the following questions.. (3 marks) Explain why a mass suspended vertically

### INTERFERENCE OF SOUND WAVES

2011 Interference - 1 INTERFERENCE OF SOUND WAVES The objectives of this experiment are: To measure the wavelength, frequency, and propagation speed of ultrasonic sound waves. To observe interference phenomena

### Waves. Overview (Text p382>)

Waves Overview (Text p382>) Waves What are they? Imagine dropping a stone into a still pond and watching the result. A wave is a disturbance that transfers energy from one point to another in wave fronts.

### Updated 2013 (Mathematica Version) M1.1. Lab M1: The Simple Pendulum

Updated 2013 (Mathematica Version) M1.1 Introduction. Lab M1: The Simple Pendulum The simple pendulum is a favorite introductory exercise because Galileo's experiments on pendulums in the early 1600s are

### Physics 101 Hour Exam 3 December 1, 2014

Physics 101 Hour Exam 3 December 1, 2014 Last Name: First Name ID Discussion Section: Discussion TA Name: Instructions Turn off your cell phone and put it away. Calculators cannot be shared. Please keep

### Candidate Number. General Certificate of Education Advanced Level Examination June 2014

entre Number andidate Number Surname Other Names andidate Signature General ertificate of Education dvanced Level Examination June 214 Physics PHY4/1 Unit 4 Fields and Further Mechanics Section Wednesday

### Experiment P19: Simple Harmonic Motion - Mass on a Spring (Force Sensor, Motion Sensor)

PASCO scientific Physics Lab Manual: P19-1 Science Workshop S. H. M. Mass on a Spring Experiment P19: Simple Harmonic Motion - Mass on a Spring (Force Sensor, Motion Sensor) Concept Time SW Interface Macintosh

### Lab 5: Conservation of Energy

Lab 5: Conservation of Energy Equipment SWS, 1-meter stick, 2-meter stick, heavy duty bench clamp, 90-cm rod, 40-cm rod, 2 double clamps, brass spring, 100-g mass, 500-g mass with 5-cm cardboard square

Chapter 20. Traveling Waves You may not realize it, but you are surrounded by waves. The waviness of a water wave is readily apparent, from the ripples on a pond to ocean waves large enough to surf. It

### EXPERIMENT 3 Analysis of a freely falling body Dependence of speed and position on time Objectives

EXPERIMENT 3 Analysis of a freely falling body Dependence of speed and position on time Objectives to verify how the distance of a freely-falling body varies with time to investigate whether the velocity

### Experiment 1: SOUND. The equation used to describe a simple sinusoidal function that propagates in space is given by Y = A o sin(k(x v t))

Experiment 1: SOUND Introduction Sound is classified under the topic of mechanical waves. A mechanical wave is a term which refers to a displacement of elements in a medium from their equilibrium state,

### Waves - Transverse and Longitudinal Waves

Waves - Transverse and Longitudinal Waves wave may be defined as a periodic disturbance in a medium that carries energy from one point to another. ll waves require a source and a medium of propagation.

### 1 of 10 11/23/2009 6:37 PM

hapter 14 Homework Due: 9:00am on Thursday November 19 2009 Note: To understand how points are awarded read your instructor's Grading Policy. [Return to Standard Assignment View] Good Vibes: Introduction

### Sound and stringed instruments

Sound and stringed instruments Lecture 14: Sound and strings Reminders/Updates: HW 6 due Monday, 10pm. Exam 2, a week today! 1 Sound so far: Sound is a pressure or density fluctuation carried (usually)

### INTERFERENCE OF SOUND WAVES

1/2016 Sound 1/8 INTERFERENCE OF SOUND WAVES PURPOSE: To measure the wavelength, frequency, and propagation speed of ultrasonic sound waves and to observe interference phenomena with ultrasonic sound waves.

### Waves-Wave Characteristics

1. What is the wavelength of a 256-hertz sound wave in air at STP? 1. 1.17 10 6 m 2. 1.29 m 3. 0.773 m 4. 8.53 10-7 m 2. The graph below represents the relationship between wavelength and frequency of

### Resonance. The purpose of this experiment is to observe and evaluate the phenomenon of resonance.

Resonance Objective: The purpose of this experiment is to observe and evaluate the phenomenon of resonance. Background: Resonance is the tendency of a system to oscillate with greater amplitude at some

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level *0123456789* PHYSICS 9702/02 Paper 2 AS Level Structured Questions For Examination from 2016 SPECIMEN

### Experiment 9. The Pendulum

Experiment 9 The Pendulum 9.1 Objectives Investigate the functional dependence of the period (τ) 1 of a pendulum on its length (L), the mass of its bob (m), and the starting angle (θ 0 ). Use a pendulum

### Physics 42 Lab 4 Fall 2012 Cathode Ray Tube (CRT)

Physics 42 Lab 4 Fall 202 Cathode Ray Tube (CRT) PRE-LAB Read the background information in the lab below and then derive this formula for the deflection. D = LPV defl 2 SV accel () Redraw the diagram

### AP Physics 1 and 2 Lab Investigations

AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks

### Calibration and Use of a Strain-Gage-Instrumented Beam: Density Determination and Weight-Flow-Rate Measurement

Chapter 2 Calibration and Use of a Strain-Gage-Instrumented Beam: Density Determination and Weight-Flow-Rate Measurement 2.1 Introduction and Objectives This laboratory exercise involves the static calibration

### THE SPRING CONSTANT. Apparatus: A spiral spring, a set of weights, a weight hanger, a balance, a stop watch, and a twometer

THE SPRING CONSTANT Objective: To determine the spring constant of a spiral spring by Hooe s law and by its period of oscillatory motion in response to a weight. Apparatus: A spiral spring, a set of weights,

### Sample Questions for the AP Physics 1 Exam

Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiple-choice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each

### Tennessee State University

Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an F-grade. Other instructions will be given in the Hall. MULTIPLE CHOICE.

### Carbon Dioxide and an Argon + Nitrogen Mixture. Measurement of C p /C v for Argon, Nitrogen, Stephen Lucas 05/11/10

Carbon Dioxide and an Argon + Nitrogen Mixture Measurement of C p /C v for Argon, Nitrogen, Stephen Lucas 05/11/10 Measurement of C p /C v for Argon, Nitrogen, Carbon Dioxide and an Argon + Nitrogen Mixture

### v = fλ PROGRESSIVE WAVES 1 Candidates should be able to :

PROGRESSIVE WAVES 1 Candidates should be able to : Describe and distinguish between progressive longitudinal and transverse waves. With the exception of electromagnetic waves, which do not need a material

### Oscillations: Mass on a Spring and Pendulums

Chapter 3 Oscillations: Mass on a Spring and Pendulums 3.1 Purpose 3.2 Introduction Galileo is said to have been sitting in church watching the large chandelier swinging to and fro when he decided that

### Physical Science Study Guide Unit 7 Wave properties and behaviors, electromagnetic spectrum, Doppler Effect

Objectives: PS-7.1 Physical Science Study Guide Unit 7 Wave properties and behaviors, electromagnetic spectrum, Doppler Effect Illustrate ways that the energy of waves is transferred by interaction with

### Physics 2305 Lab 11: Torsion Pendulum

Name ID number Date Lab CRN Lab partner Lab instructor Physics 2305 Lab 11: Torsion Pendulum Objective 1. To demonstrate that the motion of the torsion pendulum satisfies the simple harmonic form in equation

### Experiment 8. The Pendulum

Experiment 8 The Pendulum 8.1 Objectives Investigate the functional dependence of the period ( ) 1 of a pendulum on its length (L), the mass of its bob (m), and the starting angle ( 0 ). Use a pendulum

### HOOKE S LAW AND OSCILLATIONS

9 HOOKE S LAW AND OSCILLATIONS OBJECTIVE To measure the effect of amplitude, mass, and spring constant on the period of a spring-mass oscillator. INTRODUCTION The force which restores a spring to its equilibrium

### LAB 9 Waves and Resonance

Cabrillo College Physics l0l Name LAB 9 Waves and Resonance Read Hewitt Chapter 19 What to learn and explore Almost all of the information that we receive from our environment comes to us in the form of

### ELASTIC FORCES and HOOKE S LAW

PHYS-101 LAB-03 ELASTIC FORCES and HOOKE S LAW 1. Objective The objective of this lab is to show that the response of a spring when an external agent changes its equilibrium length by x can be described

### Physics 3 Summer 1989 Lab 7 - Elasticity

Physics 3 Summer 1989 Lab 7 - Elasticity Theory All materials deform to some extent when subjected to a stress (a force per unit area). Elastic materials have internal forces which restore the size and

### Periodic Wave Phenomena

Name: Periodic Wave Phenomena 1. The diagram shows radar waves being emitted from a stationary police car and reflected by a moving car back to the police car. The difference in apparent frequency between

### General Physics (PHY 2130)

General Physics (PHY 2130) Lecture 28 Waves standing waves Sound definitions standing sound waves and instruments Doppler s effect http://www.physics.wayne.edu/~apetrov/phy2130/ Lightning Review Last lecture:

### Waves-Wave Characteristics

1. What is the wavelength of a 256-hertz sound wave in air at STP? 1. 1.17 10 6 m 2. 1.29 m 3. 0.773 m 4. 8.53 10-7 m 2. The graph below represents the relationship between wavelength and frequency of

### Charge and Discharge of a Capacitor

Charge and Discharge of a Capacitor INTRODUCTION Capacitors 1 are devices that can store electric charge and energy. Capacitors have several uses, such as filters in DC power supplies and as energy storage

### Resonance. The purpose of this experiment is to observe and evaluate the phenomenon of resonance.

Resonance Objective: The purpose of this experiment is to observe and evaluate the phenomenon of resonance. Background: Resonance is a wave effect that occurs when an object has a natural frequency that

### Solution: F = kx is Hooke s law for a mass and spring system. Angular frequency of this system is: k m therefore, k

Physics 1C Midterm 1 Summer Session II, 2011 Solutions 1. If F = kx, then k m is (a) A (b) ω (c) ω 2 (d) Aω (e) A 2 ω Solution: F = kx is Hooke s law for a mass and spring system. Angular frequency of

### Simple Harmonic Motion

Simple Harmonic Motion 1 Object To determine the period of motion of objects that are executing simple harmonic motion and to check the theoretical prediction of such periods. 2 Apparatus Assorted weights

### Giant Slinky: Quantitative Exhibit Activity

Name: Giant Slinky: Quantitative Exhibit Activity Materials: Tape Measure, Stopwatch, & Calculator. In this activity, we will explore wave properties using the Giant Slinky. Let s start by describing the

### physics 1/12/2016 Chapter 20 Lecture Chapter 20 Traveling Waves

Chapter 20 Lecture physics FOR SCIENTISTS AND ENGINEERS a strategic approach THIRD EDITION randall d. knight Chapter 20 Traveling Waves Chapter Goal: To learn the basic properties of traveling waves. Slide

### Physics 1020 Laboratory #6 Equilibrium of a Rigid Body. Equilibrium of a Rigid Body

Equilibrium of a Rigid Body Contents I. Introduction II. III. IV. Finding the center of gravity of the meter stick Calibrating the force probe Investigation of the angled meter stick V. Investigation of

### Determination of g using a spring

INTRODUCTION UNIVERSITY OF SURREY DEPARTMENT OF PHYSICS Level 1 Laboratory: Introduction Experiment Determination of g using a spring This experiment is designed to get you confident in using the quantitative

### Practice Test SHM with Answers

Practice Test SHM with Answers MPC 1) If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one

### PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

PHYS 101-4M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in

### Spring Force Constant Determination as a Learning Tool for Graphing and Modeling

NCSU PHYSICS 205 SECTION 11 LAB II 9 FEBRUARY 2002 Spring Force Constant Determination as a Learning Tool for Graphing and Modeling Newton, I. 1*, Galilei, G. 1, & Einstein, A. 1 (1. PY205_011 Group 4C;

Chapter 2: Electromagnetic Radiation Radiant Energy I Goals of Period 2 Section 2.1: To introduce electromagnetic radiation Section 2.2: To discuss the wave model of radiant energy Section 2.3: To describe

### MAKE SURE TA & TI STAMPS EVERY PAGE BEFORE YOU START

Laboratory Section: Last Revised on December 15, 2014 Partners Names Grade EXPERIMENT 10 Electronic Circuits 0. Pre-Laboratory Work [2 pts] 1. How are you going to determine the capacitance of the unknown

### AP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?

1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The

### Physics 117.3 Tutorial #1 January 14 to 25, 2013

Physics 117.3 Tutorial #1 January 14 to 25, 2013 Rm 130 Physics 8.79. The location of a person s centre of gravity can be determined using the arrangement shown in the figure. A light plank rests on two

### Upon completion of this lab, the student will be able to:

1 Learning Outcomes EXPERIMENT B4: CHEMICAL EQUILIBRIUM Upon completion of this lab, the student will be able to: 1) Analyze the absorbance spectrum of a sample. 2) Calculate the equilibrium constant for

### Acceleration of Gravity Lab Basic Version

Acceleration of Gravity Lab Basic Version In this lab you will explore the motion of falling objects. As an object begins to fall, it moves faster and faster (its velocity increases) due to the acceleration

### Bass Guitar Investigation. Physics 498, Physics of Music Sean G. Ely Randall Fassbinder

Bass Guitar Investigation Physics 498, Physics of Music Sean G. Ely Randall Fassbinder May 14, 2009 Table of Contents 1. INTRODUCTION...1 2. EXPERIMENTAL SETUP AND PROCEDURE...1 2.1 PICKUP LOCATION...1

### 3.14 understand that light waves are transverse waves which can be reflected, refracted and diffracted

Light and Sound 3.14 understand that light waves are transverse waves which can be reflected, refracted and diffracted 3.15 use the law of reflection (the angle of incidence equals the angle of reflection)

### Simple Harmonic Motion Experiment. 1 f

Simple Harmonic Motion Experiment In this experiment, a motion sensor is used to measure the position of an oscillating mass as a function of time. The frequency of oscillations will be obtained by measuring

### Wire Position Monitoring with FPGA based Electronics. Introduction

FERMILAB-TM-2441-AD Wire Position Monitoring with FPGA based Electronics N. Eddy, O. Lysenko, Fermi National Accelerator Laboratory, Batavia, IL 60510, U.S.A. Abstract This fall the first Tesla-style cryomodule

### Experiment: Static and Kinetic Friction

PHY 201: General Physics I Lab page 1 of 6 OBJECTIVES Experiment: Static and Kinetic Friction Use a Force Sensor to measure the force of static friction. Determine the relationship between force of static

### Experiment 5. Lasers and laser mode structure

Northeastern University, PHYS5318 Spring 2014, 1 1. Introduction Experiment 5. Lasers and laser mode structure The laser is a very important optical tool that has found widespread use in science and industry,

### Microwave Measurements with Network Analyzer Design of RFID Antenna. In the Course Circuit Theory By: Johan Sidén

Microwave Measurements with Network Analyzer Design of RFID Antenna In the Course Circuit Theory By: By: 1(9) In this laboratory work you will show your classmates that you can get the best resonance on

### Lab 11: Magnetic Fields Name:

Lab 11: Magnetic Fields Name: Group Members: Date: TA s Name: Objectives: To measure and understand the magnetic field of a bar magnet. To measure and understand the magnetic field of an electromagnet,

Section 5. : Horn Physics Section 5. : Horn Physics By Martin J. King, 6/29/8 Copyright 28 by Martin J. King. All Rights Reserved. Before discussing the design of a horn loaded loudspeaker system, it is

### THE NOT SO SIMPLE PENDULUM

INTRODUCTION: THE NOT SO SIMPLE PENDULUM This laboratory experiment is used to study a wide range of topics in mechanics like velocity, acceleration, forces and their components, the gravitational force,