| By Hector Judez [physics@amersol.edu.pe] | 
|  | Section 1. Sound waves | |||||
|  | Sound waves are longitudinal waves  produced by variations in air             pressure. A vibrating source pushes molecules in air             back and forth, creating areas of compression and             rarefaction. When a molecule moves, it collides with             the next one and makes it move too. The energy of a             sound wave travels away from the source trough a             series of molecule collisions parallel to the             direction of the wave. Sound cannot travel through a             vacuum. 
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|  | Section 2. Measuring sound waves | ||
|  | The frequency             of a sound wave is called pitch.             In music, different pitches (C, D, E, etc.) are             represented by notes.  The human ear is able to feel frequencies between 20 Hz to 15 000 Hz, depending on the age of the person. Sound waves with a frequency above 20 000 Hz are called ultrasonic waves. | ||
|  | The amplitude or volume  of a sound wave is the             amount of pressure exerted by a sound source to air             molecules. The higher the pressure, the harder the             molecules will collide and the farther             the wave will travel. Scientists measure the amplitude in atmospheres. Humans can detect from less than a billionth of an atmosphere to values one million times higher. However, it is hard to deal with this huge range of different values. Instead, the pressure is measured by the intensity of the sound. The quietest sound corresponds to a value of zero decibels (unit of sound intensity) and a value above a hundred corresponds to annoying sounds. Example: A sound wave with a wavelength of 1.24 m is moving at 343 m/s. What is the frequency of this wave? wl = wavelength wl = 1.24 m v = 343 m/s v =             (wl)f f = v/wl = (343 m/s)/(1.24 m) = 276.61 Hz 
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|  | Section              3. Interference of wavesWhen             two or more waves with the same frequency reach the             ear, the ear interprets these waves as one wave with             amplitude as big as the sum or difference of the             initial waves. 
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|   | When two waves with different             frequencies reach the ear, the resulting sound will             be pleasant if the frequencies have ratios that are             small whole numbers (2:1, 3:2, 4:3). This is called consonance.  (2:1) Octave On the other hand, an unpleasant sound or noise will be produced if the frequencies have ratios others than small whole numbers. This is called dissonance. | 
|  | Section              4. Doppler effect 
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|  | Section 5. Chapter 9 QuizNow it's time to demonstrate you became a genius. Try chapter 9 quiz! | 



 
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