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frequency factor in this expression, −10 sin(t), plays an interesting role in the graph of x(t).
Below we graph y = 5 sin(6x) − 5 sin(8x) and y = ±10 sin(x) over [0, 2π ]. This is an example
of the ‘beat’ phenomena, and the curious reader is invited to explore this concept as well.17 y = 5 sin(6x) − 5 sin(8x) over [0, π ]
16
17 y = 5 sin(6x) − 5 sin(8x) and
y = ±10 sin(x) over [0, 2π ] The reader is invited to investigate the destructive implications of resonance.
A good place to start is this article on beats. 11.1 Applications of Sinusoids 11.1.2 757 Exercises 1. The sounds we hear are made up of mechanical waves. The note ‘A’ above the note ‘middle
cycles
C’ is a sound wave with ordinary frequency f = 440 Hertz = 440 second . Find a sinusoid which
models this note, assuming that the amplitude is 1 and the phase shift is 0.
√
2. The voltage V in an alternating current source has amplitude 220 2 and ordinary frequency
f = 60 Hertz. Find a sinusoid which models this voltage. Assume...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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