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 time period.

Answer 1

Comparing the given equation with general wave equation given by $[Y=A\sin (\omega t-kx+\varphi \left)\right]$ or $[Y=A\sin 2\pi [\left(t/T\right)-\left(x/\lambda \right)+\varphi ]$.

We find that:

Time period, $T=0.02$ second.