Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Purpose Gain experience in analyzing relationships between variables by graphical methods.

Slides:

Advertisements

Similar presentations

Experiments and Variables

Advertisements

Excel Notes Phys244/246 © 2007, B.J. Lieb. Calculating Velocity The velocity is calculated by entering the following: =(B3-B2) / (A3-A2). Then drag the.

Regression Analysis Once a linear relationship is defined, the independent variable can be used to forecast the dependent variable. Y ^ = bo + bX bo is.

EGR 105 Foundations of Engineering I

Physics 2225 – Standing Waves Minilab 1 Standing Waves Page 1Department of Physics & Astronomy.

Dimensional Analysis – An Engineering Design Tool 1 Introduce dimensional analysis and demonstrate its use for obtaining constitutive equations for design.

Engineering experiments involve the measuring of the dependent variable as the independent one has been altered, so as to determine the relationship between.

EGR 105 Foundations of Engineering I Fall 2007 – week 7 Excel part 3 - regression.

Topics: Regression Simple Linear Regression: one dependent variable and one independent variable Multiple Regression: one dependent variable and two or.

Levels of Inquiry Model of Science Teaching The Simple Pendulum Learning Sequence Dr. Carl J. Wenning Department of Physics Illinois State University.

1 1 Slide Simple Linear Regression Chapter 14 BA 303 – Spring 2011.

Graphing The relationship between two variables can often be determined by organizing experimental data into a graph.

Graphs. The results of an experiment are often used to plot a graph. A graph can be used to verify the relation between two variables and, at the same.

P 251 Laboratory Activity II Graphical Analysis I.

Unit 2 Lesson 1 Representing Data

How do scientists show the results of investigations?

Prior Knowledge Linear and non linear relationships x and y coordinates Linear graphs are straight line graphs Non-linear graphs do not have a straight.

The Simple Pendulum. Recall from lecture that a pendulum will execute simple harmonic motion for small amplitude vibrations. Recall from lecture that.

Pendulum Lab Go to the BPI website, find our class, and download the Pendulum Lab pdf file.

Aim: How to plot or graph data. What is the Scientific Method? “The Road to Knowledge” The Scientific Method is a method of procedure scientist use consisting.

Linear Trend Lines = b 0 + b 1 X t Where is the dependent variable being forecasted X t is the independent variable being used to explain Y. In Linear.

Error Analysis, Statistics, Graphing and Excel Necessary skills for Chem V01BL.

Understanding Labs. Objective/Agenda  Objective: I can record and present experimental data in a neat, clear, organized manner.  Agenda  Go over lab.

PSC 151 Laboratory Activity 4 Graphical Analysis IIB Nonlinear Graphs 2 and The Motion of a Simple Pendulum.

Graphing of Data Why do we display data with graphs?

Lecture 8 Simple Linear Regression (cont.). Section Objectives: Statistical model for linear regression Data for simple linear regression Estimation.

Experimental Design pendulum My Grandfather clock is running fast.

Linear Trend Lines = b 0 + b 1 X t Where is the dependent variable being forecasted X t is the independent variable being used to explain Y. In Linear.

Excel Workshop CHEM 2001, FALL Make some calculations Always begin a function with ‘=‘ Multiply X and Y Multiply X by 50 (2 methods) – Absolute.

Since the graph is linear and contains (0,0) Force exerted by a spring vs. Elongation Review of an Ideal Spring.

A graph represents the relationship between a pair of variables.

1. Linear Graphs Graphing data shows if a relationship exists between two quantities also called variables. If two variables show a linear relationship.

Graphical Analysis of the Relationship between Circumference and Diameter of a Circle.

Pendulum Mock Lab.

2.2 Linear Functions and Models. A linear function is a function of the form f(x)=mx+b The graph of a linear function is a line with a slope m and y-intercept.

Graphing and Motion IPC Spring 2015.

IB Graphing. Usually give graphical data display because: See relationship btw variables (increasing, decreasing or none). See outliers from data. Determine.

Topic 11.2: Measurement and Data Processing Graphing.

GRAPHING AND RELATIONSHIPS. GRAPHING AND VARIABLES Identifying Variables A variable is any factor that might affect the behavior of an experimental setup.

Chapter One, Section 5: Graphs in Science

Internal Assessment InvestigationAssessmentCriteria.

Scientific Method. Experiment A process used to gather observations and test hypothesis.

Period of a Simple Pendulum Post-Lab T (s) Mass (kg) Period is independent of the mass.

Graphing Most people at one time or another during their careers will have to interpret data presented in graphical form. This means of presenting.

Error Analysis, Statistics, Graphing and Excel Necessary skills for Chem V01BL.

Some handy tips!. The slope will have some meaning that will be used to determine a quantitative answer to the lab’s purpose (sometimes it’s the inverse.

Chapter 14 Introduction to Regression Analysis. Objectives Regression Analysis Uses of Regression Analysis Method of Least Squares Difference between.

Acceleration Objectives –Make simple measurements of distance and time –Learn graphing skills and understand graphical relationships –Understand the meaning.

The composition and motion of a pendulum can be described in terms of four measurable quantities. Independent Variables Mass Length Amplitude Dependent.

VARIABLES, GRAPHS, RATES OF CHANGE, AND REGRESSION LINES EXAMPLE IN EXCEL.

What is the slope of (10, 4) and (20,3)?

Have you got your workbook with you

Rules for Graphing.

Representing Motion Graphically

Mixed Costs Chapter 2: Managerial Accounting and Cost Concepts. In this chapter we explain how managers need to rely on different cost classifications.

Aim: How to plot or graph data

Standard 1 Review: Graphs, Variables and The Scientific Method

Unit 2 Lesson 1 Representing Data

Unit 2 Lesson 1 Representing Data

Minilab 1 Standing Waves

Scientific Method.

STEM Fair Graphs.

Graphing Techniques.

Section 2-5 What Are Graphs?

Scatter Plots Unit 11 B.

Graphing with Uncertainties

Unit 2 Lesson 1 Representing Data

Aim: How to plot or graph data

Presentation transcript:

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Purpose Gain experience in analyzing relationships between variables by graphical methods.

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum The Pendulum L  Period (T): Time for a complete swing (from A to B and back to A again). A B For   0: T 

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Finding the Relationship Between T, m, A, and L Experimentally Without prior knowledge we assume: (T is some function of A, m, and L: The measured value of T may or may not depend in some way on the amplitude of the swing, the mass on the pendulum, and the length of the pendulum.) One possible functional relationship may be: where k, x, y, z are constants to be determined experimentally.

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Varying One Parameter at a Time Example: Vary the amplitude , but leave the mass of the ball and the length of the string the same. Measure T for several different amplitudes.  T 5°± 1° 1.4 s ± 0.1s 10°± 1°1.5 s ± 0.1s …. use averaging as shown in manual Make suitable graphs of the data. T 

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Evaluating the Data From the theoretical relationship of the period T we anticipate: - T   z = 0.5 ? - T is independent of the mass  y = 0 ? - T may or may not depend on A (  )  x = 0 ?

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Is T Independent of a Amplitude? T  If linear plot of T versus A (  ) can be fit by a horizontal line (slope=0).  x=0 and T is independent of A

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Is T Proportional to a Variable? T A If linear plot of T versus A can be fit by a straight line.  x=1 (T is proportional to A)

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Is T  ? TIf plot of T versus can be fit by straight line.  z=1/2 is verified T L If T versus L cannot be fit by straight line:  z is neither 1 nor 0

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Getting the Uncertainties in the Slopes  Please enter error bars in your graphs.  You are allowed to use the linest(…) command in Excel to determine the slope and uncertainty in the slope of the linear fits. (Note: The uncertainties from linest (…) will then be based on the scatter of the data, not on your error bars. That is OK as long as you have a sufficient number of data points to fit).

Physics 2215 Minilab 5: Simple Pendulum Simple Pendulum Hints Is it better to average the period by measuring 10 times a single period and averaging the result: Or is it better to measure the time of 10 periods and dividing the result by 10: To understand why the second method is better: Assume the uncertainty in a time measurement is Use error propagation to find out what is in the two cases. Which of the two methods gives a lower ?