scale & growth : intro page


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Scale & Growth

Introduction


Height vs. Area & Volume

Introduction to Section

Balancing Playdough

On Magnitude & Proportion

The Shape of Volcanoes

The Shape of the Earth

The Shapes of Planets & Moons


Giants & Dwarfs

Introduction to Section

Tall Playdough

Giant Brobdingnags

Tiny Lilliputians

Walking Speed

Body Mass Index

Babies vs. Adults

Alice, Gulliver, & Goliath


Size, Form, & Function

Introduction to Section

Ion Size & Solubility

Bones, Teeth, & Digestion

Brain Sizes: Fact, Fallacy, & Fiction


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Introduction to Scale & Growth Section

In this chapter we consider questions of proportion: Why is a (small) hummingbird so different in shape from a (tall) heron?

To understand the answer to this -- and similar questions, we start by first exploring the relationships between height, area, and volume of similarly shaped objects. If an object is twice as tall as a similar object, does it weigh twice as much?

From this we pass to physical considerations: since weight is proportional to volume, but strength is proportional to cross-sectional area, a change in size forces changes in shape. What kind of changes? How do people (or dinosaurs) change shape as they grow?

We end with some questions of size affecting shape through additional forces, besides strength and weight.

 

 

 


This E-Coursebook was funded through the Franklin & Marshall Venture Fund. (Last Updated July, 2000)