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Any type of vibration can be defined by
Any type of vibration can be defined by the pattern of displacement of the particle over time
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Types of vibration Based on time Periodic: Pattern of vibration repeats regularly over time Non-periodic: No regular pattern of vibration
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Based on the number of components
Simple: Only one pattern of vibration Complex: More than one pattern of vibration
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Sinusoids/Sine waves/Pure tones
Simple wave A single pattern of vibration Periodic in nature
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Properties of a sine wave
Amplitude Frequency Starting phase
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Amplitude Related to displacement of the particle
Can be described in several ways Instantaneous amplitude Peak amplitude Peak-to-peak amplitude RMS amplitude
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What is the instantaneous amplitude of this wave at a) 0 s, b) 0
What is the instantaneous amplitude of this wave at a) 0 s, b) s, c) 0.25 s, and d) 0.07 s?
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What is the peak amplitude? What is the peak-peak amplitude?
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Root Mean Square (RMS) amplitude
Instantaneous amplitudes Square these values Mean (average) of the squared values Square root of this mean
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Use the instantaneous amplitudes at 0, 0. 125, 0. 25, 0. 375, and 0
Use the instantaneous amplitudes at 0, 0.125, 0.25, 0.375, and 0.5 seconds to calculate the RMS amplitude of the following wave.
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