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COMT 391

COMT 391. Some Fundamentals. Fundamentals. The Metric System What is a “Wave” Calculations in “Decibels”. The Metric System. Based on MKS - Meters, Kilograms, Seconds 1 m is about 3 feet 1 kg is about 2.2 pounds. “Scientific” Notation.

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COMT 391

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  1. COMT 391 Some Fundamentals

  2. Fundamentals • The Metric System • What is a “Wave” • Calculations in “Decibels”

  3. The Metric System • Based on MKS - Meters, Kilograms, Seconds • 1 m is about 3 feet • 1 kg is about 2.2 pounds

  4. “Scientific” Notation • Large and small numbers are written as a number “around” 1, multiplied by ten raised to the proper power • 41,400 = 4.14x104 • 1,000,000,000,000 = 1x1012 • 0.0000543 = 5.43x10-5

  5. Try It • 9845 • 768000000 • 0.012 • 0.3 • 0.0000000004

  6. And the answers are... • 9845 = 9.845x103 • 768000000 = 7.68x108 • 0.012 = 1.2x10-2 • 0.3 = 3x10-1 • 0.0000000004 = 4x10-10

  7. Number Prefixes • Prefix designates powers of 10 •  0.000001 10-6 • m 0.001 10-3 • c 0.01 10-2 • k 1000 103 • M 1000000 106 • G 1000000000 109

  8. Try it • Convert 10000m to km • Convert 1mm to m • Convert 3mm to km • Convert 13km to m

  9. The Result • 10000m = 10km • 1mm = 0.001m = 10-3 m • 3mm = 3x10-6 km • 13km = 1.3x10-10 m

  10. Some Numbers • Speed of light: 3x108 m/sor 300,000,000 m/s or 300,000 km/s • Mass of the earth: 5.98x1024 kg • Radius of the earth: 6.38x106 m • Speed of sound in air: 343 m/s

  11. Waves A wave can be roughly defined as an organized series of disturbances traveling through space or through a medium.

  12. “Ripples” - Surface Waves

  13. At a fixed time ...

  14. At one point along the surface

  15. Measurements Amplitude (A) Number of cycles per second is frequency (f) In 1/sec = Hz Wavelength () in meters (with prefix)

  16. Types of Waves • Sound - pressure disturbance in a medium (air, water, etc.) • Surface - disturbance in the “normal” position of the surface • Electromagnetic - alternating electric and magnetic disturbances in a medium or in a vacuum.

  17. For all waves: The speed of the wave is equal to the product of the wavelength and the frequency.

  18. Some Examples • Speed of light: 3x108 m/s • Find the wavelength for each case • AC Current: 60Hz • FM Radio: 90MHz • Ka Band Satellite: 20GHz • Ultraviolet Light: 1015 Hz The speed of the wave is equal to the product of the wavelength and the frequency.

  19. Some Examples • Speed of light: 3x108 m/s • Find the wavelength for each case • AC Current: 60Hz = 5000km • FM Radio: 90MHz = 3.33m • Ka Band Satellite: 20GHz = 15mm • Ultraviolet Light: 1015 Hz = 3x10-7 m The speed of the wave is equal to the product of the wavelength and the frequency.

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