Question

Write the equation for the velocity of the particles. Find the speed of the particle at $x=1.0cm$ at time $t=0.01s$.

Answer 1

For a wave given by $y=Asin(kx-\omega t)$,

Velocity of particles is given by $\frac{dy}{dt}=-A\omega cos(kx-\omega t)$

Thus the velocity of the particle is $v(x,t)=-\frac{\pi }{10}cos\pi [\frac{x}{2.0cm}-\frac{t}{0.01s}]$

Putting the values of x and t in the above equations gives, $v(1cm,0.01s)=0$