Question

The wave function for a travelling wave on a taut string is (in SI units) $s(x,t)=\left(0.350m\right)\sin (10\pi t-3\pi x+\pi /4)$. What is the vertical displacement of the string at $t=0,x=0.100$ m?

Answer 1

At $t=0$ and $x=0.100m$, vertical displacement is given by

$s(0.100,0)=0.350\times \sin (10\pi \times 0-3\pi \times 0.1+\frac{\pi }{4})$

$⟹s(0.100,0)=0.350\times \sin (-0.5\pi )=0.350\times (-0.156)=-0.0546m$