# Piezoelectric Lab. Module 3: Dr. Yirong Lin. MECH 4395/5390 and IE 4395 Conducted: 7/29/14. Group 4. Jose Luis Coronel Jr. Italia Valles-Ochoa

Save this PDF as:

Size: px
Start display at page:

Download "Piezoelectric Lab. Module 3: Dr. Yirong Lin. MECH 4395/5390 and IE 4395 Conducted: 7/29/14. Group 4. Jose Luis Coronel Jr. Italia Valles-Ochoa"

## Transcription

1 Piezoelectric Lab Module 3: Dr. Yirong Lin MECH 4395/5390 and IE 4395 Conducted: 7/29/14 Group 4 Jose Luis Coronel Jr. Italia Valles-Ochoa Abstract

2 The purpose of this lab report is to specify the process of testing the frequency given by a beam s vibration in comparison to the theoretical frequency obtained from using equations. The report will begin with a brief introduction to piezoelectric material, then proceed to detail the experimental set-up, gathering of data (including calculations), and conclude with a comparison of the first natural frequency obtained theoretically with the actual experimental frequency. Introduction: Pierre and Jacquez Cuie discovered the piezoelectric effect in the late 19 th century. They discovered that materials such as tourmaline and quartz could convert mechanical vibration energy to alternating electric energy. Such materials become electrically polarized when a strain is applied. Piezo is Greek for pressure, which induces a voltage. The piezo used in this experiment detects vibration when a small force is applied to the free end of the cantilever beam. An oscilloscope is used to determine the vibration frequency of the beam acting with the piezo and creating a voltage. This form of energy harvesting is an effective form of power generation because it requires little acceleration to produce a high power output. Experimental Set-up: h

3 Data Analysis: The dimensions of the beam we selected, beam 4, are taken from the average of three measurements. This would give us a more accurate value for our calculations. The values were all converted to SI units to facilitate our analysis and are presented in the table below. Length (L) Base (b) Height (h).3145 m mm 3.04 mm From these values, we proceeded to calculate the theoretical frequency by utilizing the equation for angular frequency ω 1 and the equation that relates angular frequency with first natural frequency f 1. Equation 1: ω 1 = α 1 2 EI ml 4 Equation 2: ω 1 = 2πf 1 The beam is made from aluminum, whose properties were utilized in the calculations. The Young s modulus for aluminum is E = 69GPa, and the density is ρ = 3000 kg m 3. The value of alpha is a constant and was given as α 1 = The mass of the beam was determined by multiplying the density of the beam, by the cross sectional area. That calculation is shown below: m = ρa = ρ(bh) = (3000 kg m 3) ( m)( m) = kg m Another parameter that must be calculated is the moment of inertia of the beam. Utilizing the dimensions of the beam the moment of inertia was determined by: I = 1 12 bh3 = 1 12 ( m)( m)3 = 5.94x10 11 m 4 After having obtained all the values necessary, the angular frequency can be calculated. ω 1 = (69x10 9 Pa)(5.94x10 11 m 4 ) (0.231 kg = rad m ) s (0.3145m)4 Then finally, the theoretical first natural frequency is found by manipulation of Equation 2. f 1 = ω 1 2π = rad s = Hz 2π

4 For the calculation of the experimental frequency, the experimental set-up mentioned before was used. The piezoelectric was attached to the aluminum beam, and also to the oscilloscope. This allows the mechanical deformation of the beam to be converted to a voltage that can be read by the oscilloscope. The beam was clamped down to ensure to movement other than the bending, and the oscilloscope was turned on. The experiment proceeded by flexing the beam and allowing oscillation in the vertical direction. The voltage produced by the piezoelectric was graphed versus time by the oscilloscope. That graph is shown below s.0518 s.0944 s.1350 s In order to calculate the frequency using the graph presented above, there is a simple equation that utilizes time at the peak values of two adjacent waves on the graph, subtracting them and finding the inverse. This equation for frequency is: 1 f = x 2 x 1 To ensure a proper calculation, there were three sets of data points taken, and the average of those values was utilized to calculate the final results. The equation, as it was applied to the values obtained from the waves is shown below. 1) f = 1 = ) f 1 = = ) f = 1 = The average of these three values was taken to ensure a more accurate comparison to the theoretical value. This is shown below.

5 f avg = = Hz 3 The results of both the theoretical and experimental values of frequency will be compared in the next section. Comparison and Discussion: From the values gathered from data analysis, there is enough information to make a comparison of theoretical, to applied results. Utilizing the properties of aluminum, and the dimensions of the cantilever beam, the first natural frequency was found to be Experimentally, through the use of a piezoelectric to measure the mechanical deflection through voltage output, the frequency was found to be on average The percent error as a comparison between the two methods is: % Error = % =.25% As can be determined by the percent error calculation, there is not much difference between the theoretical and experimental value. This shows that the piezoelectric is effective at converting mechanical stress to electricity. The accuracy of the piezoelectric is one of the reasons it is becoming so widely used. It can sense small changes and as demonstrated in this experiment, can perform very efficiently. References: Lin, Yirong, Mechanical Engineering Professor, UTEP

### Resonance in a piezoelectric material

Resonance in a piezoelectric material Daniel L. Tremblay Physics Department, The College of Wooster, Wooster, Ohio 44691 May 8, 2006 An AC voltage was used in conjunction with a piezoelectric material

### 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

### Wave Motion. Solutions of Home Work Problems

Chapter 16 Wave Motion. s of Home Work Problems 16.1 Problem 16.17 (In the text book) A transverse wave on a string is described by the wave function [( πx ) ] y = (0.10 m) sin + 4πt 8 (a) Determine the

### Chapter 5: Tool Dynamometers

Chapter 5: Tool Dynamometers LEARNING OBJECTIVES Different types of transducers used in Dynamometers Design Requirements Types of Dynamometers ---------------------------------------------------------------------------------------------------------------------

### Determination of Maximum Power Transfer Conditions of Bimorph Piezoelectric Energy Harvesters

Determination of Maximum Power Transfer Conditions of Bimorph Piezoelectric Energy Harvesters Mahmoud Al Ahmad 1, Amro M. Elshurafa 2, Khaled N. Salama 2 and H. N. Alshareef 1* 1 Material Sciences and

### 22.302 Experiment 5. Strain Gage Measurements

22.302 Experiment 5 Strain Gage Measurements Introduction The design of components for many engineering systems is based on the application of theoretical models. The accuracy of these models can be verified

### ! n. Problems and Solutions Section 1.5 (1.66 through 1.74)

Problems and Solutions Section.5 (.66 through.74).66 A helicopter landing gear consists of a metal framework rather than the coil spring based suspension system used in a fixed-wing aircraft. The vibration

### p = F net t (2) But, what is the net force acting on the object? Here s a little help in identifying the net force on an object:

Harmonic Oscillator Objective: Describe the position as a function of time of a harmonic oscillator. Apply the momentum principle to a harmonic oscillator. Sketch (and interpret) a graph of position as

### Lab for Deflection and Moment of Inertia

Deflection and Moment of Inertia Subject Area(s) Associated Unit Lesson Title Physics Wind Effects on Model Building Lab for Deflection and Moment of Inertia Grade Level (11-12) Part # 2 of 3 Lesson #

### PIEZOELECTRIC POWER SCAVENGING OF MECHANICAL VIBRATION ENERGY. CE 511- Structural Analysis II. Team Members- Kamaljit Singh Saurabh Baghmar

PIEZOELECTRIC POWER SCAVENGING OF MECHANICAL VIBRATION ENERGY CE 511- Structural Analysis II Team Members- Kamaljit Singh Saurabh Baghmar Smart Materials Smart materials are different than every day materials,

### Bending Beam. Louisiana State University. Joshua Board

Bending Beam Louisiana State University Joshua Board Table of Contents: Table of Figures:... 4 Purpose... 5 Introduction... 5 Apparatus and Test Procedures... 11 Summary of Data... 14 Discussion of Results...

### A=b h= 83 in. 45ft. ft. = ft.2

The Easiest Way to Convert Units in an Algebraic Equation Physics professors teach you to convert everything into standard SI units, solve the problem, and hope the units come out right. In Chemistry and

### Laboratory Weeks 9 10 Theory of Pure Elastic Bending

Laboratory Weeks 9 10 Theory of Pure Elastic Bending Objective To show the use of the Sagital method for finding the Radius of Curvature of a beam, to prove the theory of bending, and find the elastic

### Active Vibration Suppression of Sandwich Beams using Piezoelectric Shear Actuators

Advances in 2093 Active Vibration Suppression of Sandwich Beams using Piezoelectric Shear Actuators Senthil S. Vel 1, Brian P. Baillargeon 1 Summary This paper deals with the experimental and numerical

### Structures and Stiffness

Structures and Stiffness ENGR 10 Introduction to Engineering Ken Youssefi/Thalia Anagnos Engineering 10, SJSU 1 Wind Turbine Structure The Goal The support structure should be optimized for weight and

### MCE380: Measurements and Instrumentation Lab. Chapter 9: Force, Torque and Strain Measurements

MCE380: Measurements and Instrumentation Lab Chapter 9: Force, Torque and Strain Measurements Topics: Elastic Elements for Force Measurement Dynamometers and Brakes Resistance Strain Gages Holman, Ch.

### Aluminium systems profile selection

Aluminium systems profile selection The purpose of this document is to summarise the way that aluminium profile selection should be made, based on the strength requirements for each application. Curtain

### EXPERIMENT 6 CLIPPING AND CLAMPING DIODE CIRCUITS

EXPERIMENT 6 CLIPPING AND CLAMPING DIODE CIRCUITS OBJECTIVES To understand the theory of operation of the clipping and clamping diode circuits. To design wave shapes that meet different circuits needs.

### APC International, Ltd. Piezo d 33 Test System

APC International, Ltd. Piezo d 33 Test System APC International, Ltd APC Part number: 90-2030 Print in USA APC International, Ltd. All rights reserved 1. DESCRIPTIONS The part number 90-2030 (d 33 meter)

### Piezoelectric Polymer Speakers Application Note Aug 98 Rev A

1 Aug 98 Rev A INTRODUCTION A loudspeaker is a transducer which transforms electrical signals into acoustic sound. Conventional speakers usually consist of a vibrating surface (called a diaphragm) and

### 1.10 Using Figure 1.6, verify that equation (1.10) satisfies the initial velocity condition. t + ") # x (t) = A! n. t + ") # v(0) = A!

1.1 Using Figure 1.6, verify that equation (1.1) satisfies the initial velocity condition. Solution: Following the lead given in Example 1.1., write down the general expression of the velocity by differentiating

### UNIVERSITY OF CALGARY. Electronic Interface for Hybrid Vibration Energy Harvester. Marian Dimanchev A THESIS

UNIVERSITY OF CALGARY Electronic Interface for Hybrid Vibration Energy Harvester by Marian Dimanchev A THESIS SUBMITTED TO THE FACULTY OF GRADUATE STUDIES IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR

### Stress Calculation Basics and Examples

Stress Calculation Basics and Examples Miskolc University During solidification and cooling stresses appear in the casting. This can be caused: by the shrinkage of the casting, by the formation of temperature

### EML 5526 FEA Project 1 Alexander, Dylan. Project 1 Finite Element Analysis and Design of a Plane Truss

Problem Statement: Project 1 Finite Element Analysis and Design of a Plane Truss The plane truss in Figure 1 is analyzed using finite element analysis (FEA) for three load cases: A) Axial load: 10,000

### 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

### Simple Harmonic Motion

Simple Harmonic Motion 9M Object: Apparatus: To determine the force constant of a spring and then study the harmonic motion of that spring when it is loaded with a mass m. Force sensor, motion sensor,

### Micro scale energy harvesting from ambient vibrations

Micro scale energy harvesting from ambient vibrations Lindsay Miller & Professor Paul Wright Wireless sensor networks are very useful! From serious Energy efficiency in buildings Health care info management

### VIBRATION DUE TO ROTATION UNBALANCE

Fall 08 Prepared by: Keivan Anbarani Abstract In this experiment four eccentric masses are used in conjunction with four springs and one damper to simulate the vibration. Masses are aligned in different

### RESEARCH ON MECHANICAL STRUCTURES FOR VIBRATION ENERGY HARVESTING

U.P.B. Sci. Bull. Series D, Vol. 77, Iss., 015 ISSN 1454-358 RESEARCH ON MECHANICAL STRUCTURES FOR VIBRATION ENERGY HARVESTING Shuai PANG 1, Jiangming KAN, Wenbin LI 3 Piezoelectric energy harvesting (PEH)

### HANDLY & FREQUENTLY USED FORMULAS FOR THERMAL ENGINEERS

HANDLY & FREQUENTLY USED FORMULAS FOR THERMAL ENGINEERS GEOMETRY & MATH GEOMETRI & MATEMATIK Cylindrical (Tube) Volume V = p / 4 d 2 L [m 3 ] Cylindrical (Tube) Surface A = p d L [m 2 ] Rectangular Triangle

### 9. Force Measurement with a Strain gage Bridge

9. Force Measurement with a Strain gage Bridge Task 1. Measure the transfer characteristics of strain-gage based force sensor in a range 0 10 kg 1. 2. Determine the mass of an unknown weight. 3. Check

### Optimized Power Output from Piezoelectric Flexure Element Driven by Low Frequency Vibration

Optimized Power Output from Piezoelectric Flexure Element Driven by Low Frequency Vibration HC Ganege #, WGPLM Gamage, MAF Shazla and MJMA Rasul Department of Electrical and Information Engineering, University

### Impact Load Factors for Static Analysis

Impact Load Factors for Static Analysis Often a designer has a mass, with a known velocity, hitting an object and thereby causing a suddenly applied impact load. Rather than conduct a dynamic analysis

### Scanning Probe Microscopy

Bert Voigtlander Scanning Probe Microscopy Atomic Force Microscopy and Scanning Tunneling Microscopy ^ Springer Contents 1 Introduction 1 1.1 Introduction to Scanning Tunneling Microscopy 4 1.2 Introduction

### Two-Dimensional Concentrated-Stress Low-Frequency Piezoelectric Vibration Energy Harvesters

Two-Dimensional Concentrated-Stress Low-Frequency Piezoelectric Vibration Energy Harvesters Nathan Sharpes 1, Abdessattar Abdelkefi 2, and Shashank Priya 1,3 1 Center for Energy Harvesting Materials and

### SIMPLE HARMONIC MOTION

SIMPLE HARMONIC MOTION PURPOSE The purpose of this experiment is to investigate one of the fundamental types of motion that exists in nature - simple harmonic motion. The importance of this kind of motion

### Rotational Motion & Moment of Inertia

Rotational Motion & Moment of nertia Physics 161 ntroduction n this experiment we will study motion of objects is a circular path as well as the effect of a constant torque on a symmetrical body. n Part

### STANDING WAVES. Objective: To verify the relationship between wave velocity, wavelength, and frequency of a transverse wave.

STANDING WAVES Objective: To verify the relationship between wave velocity, wavelength, and frequency of a transverse wave. Apparatus: Magnetic oscillator, string, mass hanger and assorted masses, pulley,

### Strength of Materials

FE Review Strength of Materials Problem Statements Copyright 2008 C. F. Zorowski NC State E490 Mechanics of Solids 110 KN 90 KN 13.5 KN A 3 = 4.5x10-3 m 2 A 2 = 2x10-3 m 2 A 1 = 5x10-4 m 2 1. A circular

### MIT Manufacturing Processes and Systems. Homework 3 Solutions. Machining. Revised October 15, 2015

MIT 2.810 Manufacturing Processes and Systems Machining Revised October 15, 2015 Problems 1 & 2 are based on the flashlight project from lab. Please refer to your lab booklet or to Figures 1 & 2 for dimensions.

### The use of Operating Deflection Shapes (ODS) to model the vibration of sanders and polishers HSL/2006/104. Project Leader: Author(s): Science Group:

Harpur Hill, Buxton Derbyshire, SK17 9JN T: +44 (0)1298 218000 F: +44 (0)1298 218590 W: www.hsl.gov.uk The use of Operating Deflection Shapes (ODS) to model the vibration of sanders and polishers HSL/2006/104

### Simple Harmonic Motion Concepts

Simple Harmonic Motion Concepts INTRODUCTION Have you ever wondered why a grandfather clock keeps accurate time? The motion of the pendulum is a particular kind of repetitive or periodic motion called

### Simple Harmonic Motion

Simple Harmonic Motion Simple harmonic motion is one of the most common motions found in nature and can be observed from the microscopic vibration of atoms in a solid to rocking of a supertanker on the

### Waves I: Generalities, Superposition & Standing Waves

Chapter 5 Waves I: Generalities, Superposition & Standing Waves 5.1 The Important Stuff 5.1.1 Wave Motion Wave motion occurs when the mass elements of a medium such as a taut string or the surface of a

### Rotational Inertia Demonstrator

WWW.ARBORSCI.COM Rotational Inertia Demonstrator P3-3545 BACKGROUND: The Rotational Inertia Demonstrator provides an engaging way to investigate many of the principles of angular motion and is intended

### SHM Simple Harmonic Motion revised June 16, 2012

SHM Simple Harmonic Motion revised June 16, 01 Learning Objectives: During this lab, you will 1. communicate scientific results in writing.. estimate the uncertainty in a quantity that is calculated from

### Vibrations of a Free-Free Beam

Vibrations of a Free-Free Beam he bending vibrations of a beam are described by the following equation: y EI x y t 4 2 + ρ A 4 2 (1) y x L E, I, ρ, A are respectively the Young Modulus, second moment of

### Electrical Resonance RLC circuits

Purpose: To investigate resonance phenomena that result from forced motion near a system's natural frequency. In this case the system will be a variety of RLC circuits. Theory: You are already familiar

### Power Electronic Circuits for Vibration Based Energy Harvesting using Piezoelectric Devices

Power Electronic Circuits for Vibration Based Energy Harvesting using Piezoelectric Devices Heath Hofmann Associate Professor Department of Electrical Engineering and Computer Science The University of

### 1. Introduction. 2. Response of Pipelines

1. Introduction Blasting is common in the coal industry to remove rock overburden so that the exposed coal can be mechanically excavated. A portion of the blast energy released is converted to wave energy

### Notes on Ultrasonic Experiments

Notes on Ultrasonic Experiments Material Properties and Sound Waves Sound travels at different speeds in different materials. This is because the mass of the atomic particles and the force constants are

### Overview of Topics. Stress-Strain Behavior in Concrete. Elastic Behavior. Non-Linear Inelastic Behavior. Stress Distribution.

Stress-Strain Behavior in Concrete Overview of Topics EARLY AGE CONCRETE Plastic shrinkage shrinkage strain associated with early moisture loss Thermal shrinkage shrinkage strain associated with cooling

### Flexural resonance vibrations of piezoelectric ceramic tubes in Besocke-style scanners

Flexural resonance vibrations of piezoelectric ceramic tubes in Besocke-style scanners Zhang Hui 张辉 ), Zhang Shu-Yi 张淑仪 ), and Fan Li 范理 ) Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing

### Lab 14: Standing Waves

Lab 14: Standing Waves Objectives: To understand superposition of waves To understand how a standing wave is created To understand relationships between physical parameters such as tension and length of

### AP Physics 1: Algebra-Based 2015 Free-Response Questions

AP Physics 1: Algebra-Based 015 Free-Response Questions 015 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board.

### HW 7 Q 14,20,20,23 P 3,4,8,6,8. Chapter 7. Rotational Motion of the Object. Dr. Armen Kocharian

HW 7 Q 14,20,20,23 P 3,4,8,6,8 Chapter 7 Rotational Motion of the Object Dr. Armen Kocharian Axis of Rotation The radian is a unit of angular measure The radian can be defined as the arc length s along

### Response to Harmonic Excitation Part 2: Damped Systems

Response to Harmonic Excitation Part 2: Damped Systems Part 1 covered the response of a single degree of freedom system to harmonic excitation without considering the effects of damping. However, almost

### A miniature airflow energy harvester from piezoelectric materials

A miniature airflow energy harvester from piezoelectric materials H Sun, D Zhu, N M White, and S P Beeby Electronic and Electrical Engineering Group, Electronics and Computer Science, University of Southampton,

### Lab 7: Rotational Motion

Lab 7: Rotational Motion Equipment: DataStudio, 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

### Chapter 8. Rotational Motion. 8.1 Purpose. 8.2 Introduction. s r 2π (rad) = 360 o. r θ

Chapter 8 Rotational Motion 8.1 Purpose In this experiment, rotational motion will be examined. Angular kinematic variables, angular momentum, Newton s 2 nd law for rotational motion, torque, and moments

### Hydrostatic Pressure on a Partially and Fully Submerged Vertical Rectangular Surface R. Helm

Hydrostatic Pressure on a Partially and Fully Submerged Vertical Rectangular Surface R. Helm ABSTRACT. Hydrostatic Pressure Systems allow for the measurement and development of hydrostatic force and center

### PHY 157 Standing Waves on a String (Experiment 5)

PHY 157 Standing Waves on a String (Experiment 5) Name: 1 Introduction In this lab you will observe standing waves on a string. You will also investigate the relationship between wave speed and tension

### Basic theory of sound, piezomaterials and vibrations

Basic theory of sound, piezomaterials and vibrations Content of presentation Theory of sound Piezomaterials and the piezoelectric effect Basic principles of the Sonitron products 2 Theory of sound Sound

### The moment of inertia of a rod rotating about its centre is given by:

Pendulum Physics 161 Introduction This experiment is designed to study the motion of a pendulum consisting of a rod and a mass attached to it. The period of the pendulum will be measured using three different

### CHAPTER 15 FORCE, MASS AND ACCELERATION

CHAPTER 5 FORCE, MASS AND ACCELERATION EXERCISE 83, Page 9. A car initially at rest accelerates uniformly to a speed of 55 km/h in 4 s. Determine the accelerating force required if the mass of the car

### LRC Circuits. Purpose. Principles PHYS 2211L LAB 7

Purpose This experiment is an introduction to alternating current (AC) circuits. Using the oscilloscope, we will examine the voltage response of inductors, resistors and capacitors in series circuits driven

### Standing wave modes of a violin.

Introduction. Standing wave modes of a violin. The intent of this lab is to explore a few modes of a complicated object, and employ some of the tools used in physics labs to measure their properties and

### Rotational Motion & Moment of Inertia

Physics 161 Rotational Motion & Moment of Inertia Introduction In this experiment we will study motion of objects is a circular path as well as the effect of a constant torque on a symmetrical body. In

### 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

Name: Class: Date: Exam 4--PHYS 101--F14 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A wheel, initially at rest, rotates with a constant acceleration

### Piezo Elements for a Multitude of Sensor Applications

Piezo Elements for a Multitude of Sensor Applications From Level Measurement to Adaptive Systems Technology PI Ceramic GmbH, Lindenstraße, 07589 Lederhose, Germany Page 1 of 5 The Piezo Effect Piezoelectric

### STRENGTH OF MATERIALS LABORATORY

STRENGTH OF MATERIALS LABORATORY 1. TESTING OF MATERIALS IN TORSION OBJECTIVE To apply an increasing torque to straight cylindrical specimens of material, to observe the deformation of the specimens, and

### Electromagnetic waves can propagate through a vacuum

LECTURE 5 Ch 15 WAVES 1 What is a wave? A disturbance that propagates Examples Waves on the surface of water Sound waves in air Electromagnetic waves Seismic waves through the earth Electromagnetic waves

### Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS

1 P a g e Physics Notes Class 11 CHAPTER 2 UNITS AND MEASUREMENTS The comparison of any physical quantity with its standard unit is called measurement. Physical Quantities All the quantities in terms of

### There are many different type of accelerometers and each has unique characteristics, advantages and disadvantages. The different types include:

How does a piezo-electric accelerometer work? Piezo-electric crystals are man-made or naturally occurring crystals that produce a charge output when they are compressed, flexed or subjected to shear forces.

### RC Circuits. The purpose of this lab is to understand how capacitors charge and discharge.

Department of Physics and Geology Purpose Circuits Physics 2402 The purpose of this lab is to understand how capacitors charge and discharge. Materials Decade Resistance Box (CENCO), 0.1 µf, 0.5µF, and

### Vibrations on a String and Resonance

Vibrations on a String and Resonance Umer Hassan and Muhammad Sabieh Anwar LUMS School of Science and Engineering March 5, 2015 Version 2015-1 How does our radio tune into different channels? Can a music

### 11/27/2014 Partner: Diem Tran. Bungee Lab I: Exploring the Relationship Between Bungee Cord Length and Spring Force Constant

Bungee Lab I: Exploring the Relationship Between Bungee Cord Length and Spring Force Constant Introduction: This lab relies on an understanding of the motion of a spring and spring constant to facilitate

### Chapter 22. Electromagnetic Induction

Chapter 22 Electromagnetic Induction 22.4 Faraday s Law of Electromagnetic Induction FARADAY S LAW OF ELECTROMAGNETIC INDUCTION The average emf induced in a coil of N loops is E E ) = N ' ( Φ Φ t t o o

### CARBON FIBER COMPOSITES APPLICATIONS FOR AUTO INDUSTRIES

CARBON FIBER COMPOSITES APPLICATIONS FOR AUTO INDUSTRIES Tetsuyuki Kyono, Composites Development Center, Toray Composites (America), Inc. Yukitane Kimoto, ACM Projects, Toray Industries, Inc., Japan Yasuyuki

### DESIGN & ANALYSIS OF AUTOMOBILE CHASSIS A.HARI KUMAR, V.DEEPANJALI

DESIGN & ANALYSIS OF AUTOMOBILE CHASSIS A.HARI KUMAR, V.DEEPANJALI Abstract The objective of paper is to find out best material and most suitable cross-section for an Eicher E2 TATA Truck ladder chassis

### Metric Measure for Wood Products

Metric Measure for Wood Products A F & P A Welcome to ecourse MAT120 entitled Metric Measure for wood products. 1 A F & P A Metric Planning Package AF&PA published a Wood Products Metric Planning Package

### Elastic Buckling Loads of Hinged Frames by the Newmark Method

International Journal of Applied Science and Technology Vol. 1 No. 3; June 011 Abstract Elastic Buckling Loads of Hinged Frames by the Newmark Method Ashraf Badir Department of Environmental and Civil

### SIMPLE HARMONIC MOTION Ken Cheney

SIMPLE HARMONIC MOTION Ken Cheney INTRODUCTION GENERAL Probably no tools that you will learn in Physics are more widely used than those that deal with simple harmonic motion. Here we will be investigating

### OUTCOME 3 - TUTORIAL 1 STRAIN ENERGY

UNIT 6: Unit code: QCF level: 5 Credit value: 5 STRENGTHS OF MATERIALS K/6/49 OUTCOME - TUTORIAL STRAIN ENERGY Be able to determine the behavioural characteristics of loaded structural members by the consideration

### Advanced Higher Physics: MECHANICS. Simple Harmonic Motion

Advanced Higher Physics: MECHANICS Simple Harmonic Motion At the end of this section, you should be able to: Describe examples of simple harmonic motion (SHM). State that in SHM the unbalanced force is

### Strength of materials Lab. Manual. Production Engineering

1 Strength of materials Lab. Manual Production Engineering 2 Strength of materials lab. manual Contents S.No. Title Pg.no 1. Rockwell Hardness test 3 2. Brinell hardness test. 5 3. Impact test 8 4. Tension

### Lab 9. Archimedes Principle and Applications. Upon successful completion of this exercise you will have...

Lab 9 Archimedes Principle and Applications Objectives: Upon successful completion of this exercise you will have... 1.... utilized Archimedes principle to determine the density and specific gravity of

### Tensile Testing Laboratory

Tensile Testing Laboratory By Stephan Favilla 0723668 ME 354 AC Date of Lab Report Submission: February 11 th 2010 Date of Lab Exercise: January 28 th 2010 1 Executive Summary Tensile tests are fundamental

### Charged Particles Moving in an Magnetic Field

rev 12/2016 Charged Particles Moving in an Magnetic Field Equipment for Part 1 Qty Item Parts Number 1 Magnetic Field Sensor CI-6520A 1 Zero Gauss Chamber EM-8652 1 Dip Needle SF-8619 1 Angle Indicator

### STUDY AND EVALUATION OF ENERGY HARVESTING FOR A PIEZOELECTRIC BEAM-LIKE STRUCTURE

STUDY AND EVALUATION OF ENERGY HARVESTING FOR A PIEZOELECTRIC BEAM-LIKE STRUCTURE Lagoin, T. G., thiagolagoin@yahoo.com.br Pereira, J. A., japereira@dem.feis.unesp.br Faculdade de Engenharia de Ilha Solteira,

### Energy Harvesting from Electromagnetic Field Surrounding A Current Carrying Conductor

Proc. ESA Annual Meeting on Electrostatics 2013 1 Energy Harvesting from Electromagnetic Field Surrounding A Current Carrying Conductor Misa N. Vo, Maciej A. Noras Dept. of Engineering Technology University

### Ultrasonic Testing (UT) [9]

Ultrasonic Testing (UT) [9] Ultrasonic Testing (UT): A nondestructive test method that uses high frequency sound energy to conduct examinations and make measurements. Sound: The mechanical vibration of

### Establishing and understanding equations that define rotational motion and how they relate to the equations for linear (translational) motion.

Name Period Date Rotational Dynamics Structured (S) Objectives Investigate factors that define and affect spinning objects by: Defining and exploring the concept of rotational inertia I. Understanding

### Experiment 8 : Pulse Width Modulation

Name/NetID: Teammate/NetID: Experiment 8 : Pulse Width Modulation Laboratory Outline In experiment 5 we learned how to control the speed of a DC motor using a variable resistor. This week, we will learn

### Harmonic oscillation springs linked in parallel and in series

Harmonic oscillation TEP Principle The spring constant k for different springs and connections of springs is determined. For different experimental set-ups and suspended mass the oscillation period is

### Wave Motion (Chapter 15)

Wave Motion (Chapter 15) Waves are moving oscillations. They transport energy and momentum through space without transporting matter. In mechanical waves this happens via a disturbance in a medium. Transverse