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Understanding Isolines: Mapping Distance and Temperature Gradients

This guide explores the concept of isolines through the analogy of a football field, illustrating how to measure distances to a goal. Isolines, which denote equal values such as temperature (isotherms) or pressure (isobars), are essential for visualizing various fields. Learn how to draw and interpret isolines while applying rules for accurate measurement. This guide includes examples of temperature distributions, how to identify heat sources and sinks, and practice problems involving gradients and distance calculations.

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Understanding Isolines: Mapping Distance and Temperature Gradients

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  1. Topic: Mapping Fields

  2. Fields –

  3. Think of a football field What is the distance to the goal at this point? Isoline What is the distance to the goal at this point? The numbers represent distance to goal

  4. Isoline "iso-" means "equal." Isoline -

  5. Types of Isolines Isotherm – Isobars – Contour Lines –

  6. Rules for drawing Isolines • __ • ___ Example: • 13°C • 13°C • 13°C • 11°C • 11°C • 11°C

  7. 3) __ • 5 • 3 • 4 • 3 • 1 • 2 • 2

  8. 4)___ Example: • 12°C • 13°C • 13°C • 12°C • 12°C • 11°C Wrong Way

  9. 5) ___ • 9°C • 9°C • 10°C • 10°C • 10°C • 10°C • 10°C • 9°C • 9°C • 9°C • 9°C Off the diagram Loop

  10. Working with Isotherms Where is it the warmest? Source Sink Campfire

  11. Source – Sink – Source Sink --------------------> Flows from source to sink Heat Source (high temperatures) Heat Sink (low temperature)

  12. Let’s look at actual temperatures Draw Isolines at a 1°F Intervals .86°F .90°F .88°F .86°F .86°F .90°F .90°F .89°F .87°F .87°F

  13. Let’s look at actual temperatures Draw isolines at a 2°F Intervals .86°F .85°F .81°F .83°F .86°F .84°F Heat Sink Heat Source .82°F .86°F .84°F .80°F Where is the heat source?

  14. Gradient Change in field value between two place. Gradient = Change in Field Value Distance

  15. Yes, take out your ESRT now and find the formula

  16. 90°F • 85°F Distance = 5m • 85°F • 80°F Remember the Formula Gradient = 10 = 2°F/m 5m Remember the Formula Gradient = Change in Field Value Distance Remember the Formula Gradient = 90-80 = 5m

  17. What is the distance from Ithaca to Elmira? ____?

  18. Compare gradient Formula to Rate of Change Formula

  19. FQ: What is wrong with the isolines below? • http://www.polleverywhere.com/multiple_choice_polls/LTkxMDk1NzkxMA/web • 10°C • 10°C • 10°C • 9°C • 9°C

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