A taut rope is tied to a machine that causes it to oscillate sinusoidally. You take a picture of the rope and see that at that moment there are four complete cycles along 10m. If the oscillator frequency is 20HZ, find: a) The wave number b) The angular frequency c) If at time t = Os, the height of the wave is Om when x = Om, find the phase shift of the osçillation,

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A taut rope is tied to a machine that causes it to
oscillate sinusoidally. You take a picture of the
rope and see that at that moment there are four
complete cycles along 10m. If the oscillator
frequency is 20HZ, find:
a) The wave number
b) The angular frequency
c) If at time t = Os, the height of the wave is Om
when x = 0m, find the phase shift of the
oscillation.
d) If at time t = Os, the transverse velocity is 250m
/ s when x = Om, find the amplitude of the
oscillation.
e) Write the wave function that describes the
behavior of this wave.
Transcribed Image Text:A taut rope is tied to a machine that causes it to oscillate sinusoidally. You take a picture of the rope and see that at that moment there are four complete cycles along 10m. If the oscillator frequency is 20HZ, find: a) The wave number b) The angular frequency c) If at time t = Os, the height of the wave is Om when x = 0m, find the phase shift of the oscillation. d) If at time t = Os, the transverse velocity is 250m / s when x = Om, find the amplitude of the oscillation. e) Write the wave function that describes the behavior of this wave.
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