Introduction to Engineering Linear & Logarithmic Scales

1 / 12

# Introduction to Engineering Linear & Logarithmic Scales - PowerPoint PPT Presentation

Introduction to Engineering Linear & Logarithmic Scales. Agenda Linear & Logarithmic Scales Linear vs. Linear Plot Log-Log Plot Semi-log (log v. linear) plot. Working With Data. Engineers often collect large amounts of data Two common ways to analyze the data are:

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Introduction to Engineering Linear & Logarithmic Scales' - zelda-rutledge

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Introduction to EngineeringLinear & Logarithmic Scales

Agenda

Linear & Logarithmic Scales

Linear vs. Linear Plot

Log-Log Plot

Semi-log (log v. linear) plot

Working With Data
• Engineers often collect large amounts of data
• Two common ways to analyze the data are:
• Write an equation to fit the data.
• Graph the data.
• Plotting data with appropriate scales can be very helpful in display of data and interpretation
• Choosing the right scale can make the appear on a straight line
• Choosing the right scale allows you to plot data ranging over several orders of magnitude on a single page.
-20

-15

-10

-5

0

5

10

15

20

0.1

1

10

100

Linear and Logarithmic Scaling

Linear axis:

Logarithmic axis:

Three Examples
• Temperature Expansion
• Linear Y = mX + B
• Wind Force
• Power Equation Y = bXm
• Population Growth
• Y = bemX
Length, L

a

L

1

Lo

dT

Linear Relationship Example Temperature Expansion of Pipe

L = a (T – To) + Lo

L = a (dT) + Lo

(Form : Y = mX + b)

Power Relationship ExampleWind Force on Road Sign
• Wind Force on a Sign F = P A
• P = 0.0036 V2
• F = 0.0036 V2 A
• Where
• P = pressure in lb/ft2
• V = velocity in ft/sec
• (Form Y = bXm)
Exponential Relationship ExamplePopulationGrowth

Y = bemX Linear Form: ln Y = ln b + m XY* = m X + b

Assignment
• Assignment #8
• Log and Semi-Log Review sheet
• Bring a floppy disk to class tomorrow