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Chapter 25: Vibrations and Waves
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What is a wiggle in time called?
A vibration
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What is a wiggle in space and time called?
A wave
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Vibration of a Pendulum
The time for one complete forward and back swing is called the period.
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Simple Harmonic Motion
Back and forth vibratory motion of a pendulum Pendulum bob filled with sand (Oppenheimer, page 373)
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Calculating the Period
frequency
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Wave Description Sine curve
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Parts of a Wave
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Frequency of a Wave How frequent or how often a vibration occurs
Measured in cycles/second or Hertz (Hz) 1-cycle/second = 1-Hz frequency = 1 period
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What is the frequency in Hz of a wave vibrating at 75-cycles/second?
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AM and FM Radio Frequencies
AM = kilohertz kilo = 1,000 FM = megahertz mega = 1 million
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Wave Speed wave speed = wavelength x frequency
What is the speed of a wave that has a wavelength of 2 meters and a frequency of 4 Hz? 8 m/s
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Wave Speed (cont’d) Light waves travel much faster than sound waves 300,000,000 m/s Sound waves = 340 m/s (average)
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Wave Motion When energy is transferred by a wave from a vibrating source to a distant receiver, there is no movement of matter between the two points. To put it simply, only the disturbance/energy is transferred, not the medium (stuff).
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Transverse Waves Medium moves at right angles to the direction in which the wave travels Ocean, Light (electromagnetic waves)
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Longitudinal Waves Medium moves parallel (same direction) to the direction in which the wave travels. Sound waves
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Interference of Waves Occurs when two waves are at the same place at the same time Two types of interference: Constructive Interference Destructive Interference
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Constructive Interference
Occurs when waves are in phase Crest + Crest or Trough + Trough Amplitude increases
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Constructive Interference
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Destructive Interference
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Standing Waves Standing waves are caused by interference
They appear to be “standing still” Reflected wave interferes with the incoming wave and they’re in phase
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A Standing Wave
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Standing Waves The high points are called antinodes. They’re caused by constructive interference. The low points are called nodes and they’re caused by destructive interference.
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The Doppler Effect Movement is needed, either the source of the sound or the observer. Frequency/pitch increases as the source gets closer to you and it decreases when the source moves away.
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Bow Waves and Shock Waves
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Bow Waves Two-dimensional
Produced by a boat (bug, etc.) when it’s moving faster than the waves it’s producing.
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Shock Waves Three-dimensional cone
Results in a sonic boom due to high pressure
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