Question

The equation of a wave propagating along a stretched string is given by $Y=4\sin 2\pi \left[\right(t/0.02)-(x/100\left)\right]$, where $Y$ and $x$ are in cm and $t$ in second. Determine maximum particle velocity.

Answer 1

Given,

$\omega =\frac{2\pi }{0.02}=100\pi$

Amplitude=4 cm

Max particle velocity=$A\omega =400\pi cm=4\pi m$