Question

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 1

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

The frequency is simply $f=\frac{1}{T}=\frac{1}{0.68}=1.47Hz$.

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