introduction to engineering linear logarithmic scales
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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:

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introduction to engineering linear logarithmic scales

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
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
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.
linear and logarithmic scaling
-20

-15

-10

-5

0

5

10

15

20

0.1

1

10

100

Linear and Logarithmic Scaling

Linear axis:

Logarithmic axis:

three examples
Three Examples
  • Temperature Expansion
    • Linear Y = mX + B
  • Wind Force
    • Power Equation Y = bXm
  • Population Growth
    • Y = bemX
linear relationship example temperature expansion of pipe
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 example wind force on road sign
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 example population growth
Exponential Relationship ExamplePopulationGrowth

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

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