Any type of vibration can be defined by

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Presentation transcript:

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 http://monet.physik.unibas.ch/~elmer/pendulum/spend.htm

Types of vibration Based on time Periodic: Pattern of vibration repeats regularly over time http://monet.physik.unibas.ch/~elmer/pendulum/spend.htm Non-periodic: No regular pattern of vibration

Based on the number of components Simple: Only one pattern of vibration Complex: More than one pattern of vibration

Sinusoids/Sine waves/Pure tones Simple wave A single pattern of vibration Periodic in nature http://library.thinkquest.org/19537/?tqskip1=1

Properties of a sine wave Amplitude Frequency Starting phase

Amplitude Related to displacement of the particle http://monet.physik.unibas.ch/~elmer/pendulum/spend.htm Can be described in several ways Instantaneous amplitude Peak amplitude Peak-to-peak amplitude RMS amplitude

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) 0.015 s, c) 0.25 s, and d) 0.07 s?

What is the peak amplitude? What is the peak-peak amplitude?

Root Mean Square (RMS) amplitude Instantaneous amplitudes Square these values Mean (average) of the squared values Square root of this mean

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.