1 / 12

Introduction to Engineering Linear & Logarithmic Scales

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:

onan
Download Presentation

Introduction to Engineering Linear & Logarithmic Scales

An Image/Link below is provided (as is) to download presentation 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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Introduction to EngineeringLinear & Logarithmic Scales Agenda Linear & Logarithmic Scales Linear vs. Linear Plot Log-Log Plot Semi-log (log v. linear) plot

  2. 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.

  3. 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.

  4. -20 -15 -10 -5 0 5 10 15 20 0.1 1 10 100 Linear and Logarithmic Scaling Linear axis: Logarithmic axis:

  5. Three Examples • Temperature Expansion • Linear Y = mX + B • Wind Force • Power Equation Y = bXm • Population Growth • Y = bemX

  6. 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)

  7. 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)

  8. Y = bXm

  9. Y = bXm Linear Form: log Y = log b + m log X Y* = m X* + b

  10. Y = bXm Linear Form: log Y = log b + m log X Y* = m X* + b

  11. Exponential Relationship ExamplePopulationGrowth Y = bemX Linear Form: ln Y = ln b + m XY* = m X + b

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

More Related