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(Solved): 2 please 2. The equation of a vibrating string is given by: Determine the amplitude, period, frequen ...



2 please

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2. The equation of a vibrating string is given by: Determine the amplitude, period, frequency, wavelength, velocity of propagation, and equation of the wave.


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Given equation is
  
we know that
The general equation for a wave traveling along the x-axis
  

Comparing this equation

Amplitude (A): The amplitude of the wave is the coefficient of the sine function, which is 6 in this case.
So the amplitude is 6.

Period (T): The period of a wave is the time it takes to complete one full cycle.
In this equation, the sine function has a period of 2?2? divided by the coefficient of tt, which is 4?4?.
So the period is given by:
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