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Scale

Scale. Principles of Physics. Why do we need to think in terms of scale?. To understand the size of things we can’t see How big is Earth? How big is a red blood cell? Scale: relative size Used to compare sizes. Road Map. Most regular everyday use of scale How is the scale given?.

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Scale

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  1. Scale Principles of Physics

  2. Why do we need to think in terms of scale? • To understand the size of things we can’t see • How big is Earth? • How big is a red blood cell? • Scale: relative size • Used to compare sizes

  3. Road Map • Most regular everyday use of scale • How is the scale given?

  4. Size of Earth • Diameter of Earth = 12,740,000 m • Can we understand how big 1.274 x 107 m is? • How could we make that make sense to us? • Consider the distance around the high school track (400 m) • How many times would you have to run around the track to run the diameter of the Earth? 31,850 times

  5. Size of a Carbon Nanotube • Diameter of a Carbon Nanotube = 0.0000000013 m • Can we understand how small 1.3 x 10-9 m is? • How could we make that make more sense to us? • Consider the distance around the high school track (400 m) • How many nanotubes could fit next to each other around the high school track? 307,692,307,692 nanotubes • Consider a meter stick (1 m) • How many nanotubes could fit next to each other along a meter stick? 769,230,769 nano tubes • Consider the diameter of the head of a pin (0.002 m) • How many nanotubes could fit next to each other across the head of the pin? 1,538,462 nanotubes

  6. Metric Powers of Ten • tera- (T-) 1012 1 trillion • giga- (G-) 109 1 billion • mega- (M-) 106 1 million • kilo- (k-) 103 1 thousand • hecto- (h-) 102 1 hundred • deka- (da-) 10 1 ten • deci- (d-) 10-1 1 tenth • centi- (c-) 10-2 1 hundredth • milli- (m-) 10-3 1 thousandth • micro- (µ-) 10-6 1 millionth • nano- (n-) 10-9 1 billionth • pico- (p-) 10-12 1 trillionth

  7. Metric Powers of Ten • How many times bigger is a kilometer than a meter? 1 kilometer = 1000 meters therefore A kilometer is 1,000 times bigger than a meter

  8. Metric Powers of Ten • How many times smaller is a nanometer than a millimeter? 1 millimeter = 0.001 m 1 nanometer = 0.000000001 m A millimeter is 1,000,000 times bigger than a nanometer

  9. Metric Powers of Ten • Is a nanometer bigger or smaller than 100 times a picometer? 1 picometer = 0.000000000001 m 1 nanometer = 0.000000001 m 100 times a picometer is 0.0000000001 m A nanometer is bigger

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