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# 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:

Introduction to Engineering Linear & Logarithmic Scales

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## 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.

### Working with Equations Describing Engineering Phenomena and 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 = bemXLinear 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