Physics - SHM Question with Solution | TestHub

The maximum particle velocity is given by $v=A\omega$.

The wave velocity is given by $V=f\lambda =\frac{\omega }{2\pi }\lambda$.

From the wave velocity equation, we can write $\omega =\frac{2\pi V}{\lambda }$.

Substituting this value of $\omega$ into the equation for maximum particle velocity, we get:

$v=A\left(\frac{2\pi V}{\lambda }\right)=\frac{2\pi A}{\lambda }V$

Answer: $v=\frac{2\pi A}{\lambda }V$