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Waves
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Waves A wave is a rhythmic disturbance that carries energy through matter or space. Examples of Waves: Light Radio waves Sound Electric signals Ocean waves Earthquakes Vibrations in structures (musical instruments)
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Waves All waves have a source and travel through a medium
The source is the thing that is causing the wave The medium is what the wave travels through
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Waves Mechanical waves
Mechanical waves require a medium made of matter. Air (sound waves) Water (sound waves, sonar) Rock (earthquake) Interface between water and air (ocean waves) There are three types of mechanical waves: longitudinal transverse surface
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Waves Longitudinal waves
A longitudinal wave is a wave that vibrates parallel to the direction of the wave motion Example: sound waves
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Waves Transverse waves
A transverse wave is a wave that vibrates perpendicular to the direction of wave motion. Example: waves on a rope or string
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Waves Surface waves Surface waves exist at the interface of two media (e.g., water and air ocean waves) They exhibit characteristics of both longitudinal and transverse waves. Examples: ocean waves, surface-traveling earthquake waves
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Pulse vs. periodic waves
Speed and amplitude apply to both types Period, frequency, wavelength apply only to periodic waves
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Waves Anatomy of a periodic wave:
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Waves Speed Amplitude Depends only on the medium
Measured by tracking a pulse (v = x/t) Amplitude Is how “big” the wave is Depends on how the wave is generated Is proportional to the wave’s energy
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Waves Wavelength Period Shortest distance between crests (or troughs)
Represented by the Greek letter lambda, Period Like the period of a simple harmonic oscillator The time it takes the wave to repeat itself (one complete cycle) Represented by the letter T
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Waves Frequency Is the number of complete oscillations a wave makes each second Represented by the letter f Frequency and period are related by the equation: f = 1/T Frequency and period depend only on the source of the wave
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Waves The wavelength, , depends on both period (or frequency) and speed Therefore, wavelength depends on both the source and the medium = vT = v/f Wave speed equation: v = f
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Example Calculation The crest of a periodic ocean wave passes the same point once every 17 s. Find the speed of the wave if the wavelength is 130m. T = 17 s = 130 m v = f = /T = (130 m)/(17 s) = 7.6 m/s
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