Question

A travelling wave in a stretched string is described by the equation
$y=A\sin (kx-\omega t)$
The maximum particle velocity is

• A. $A\omega$
• B. $\omega /k$
• C. $d\omega /dk$
• D. $x/\omega$

Answer 1

The correct option is A $A\omega$

$y=A\sin (kx-wt)$

$v=\frac{dy}{dt}=-Aw\cos (kx-wt)$

The maximum particle velocity is $Aw$ when the $\cos$ function has extreme value i.e $(-1)$

$v=Aw$