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A sinusoidal wave travels along a string. if the time for a particular point to move from maximum displacement to zero displacement is 0.17 sec, what are the period and frequency? if the wavelength is 1.4 m what is the velocity?

Answer :

The time it takes for a point to reach 0 displacement from maximum displacement is [tex]\frac{\pi}{2}[/tex] of a cycle. Thus, one period ([tex]2\pi[/tex]) will take [tex]T=0.17*4=0.68s[/tex].

The frequency is simply [tex]f=\frac{1}{T}=\frac{1}{0.68}=1.47Hz[/tex].

The speed is given by: [tex]v=f\lambda=1.47*1.4 = 2.06m/s[/tex]

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