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 velocity of wave.

Answer 1

General Equation of wave,

$y=A\sin 2\pi (t/T-x/\lambda )$

$\lambda =1m$

$T=0.02s$

$v=\frac{\lambda }{T}=50m/s$