## College Physics (4th Edition)

We can write the equation for this wave: $y(x,t) = (2.50~cm)~sin~[~(8.0~rad/m)~x - (2.90~rad/s)~t~]$
The maximum speed of a point on the string is $v_m = A~\omega$. Then the wave speed is $5A\omega$. We can find the wave number $k$: $v = \frac{\omega}{k}$ $k = \frac{\omega}{v}$ $k = \frac{\omega}{5~A~\omega}$ $k = \frac{1}{5~A}$ $k = \frac{1}{(5)(0.0250~m)}$ $k = 8.0~rad/m$ In general: $y(x,t) = A~sin(k~x-\omega~t)$ We can write the equation for this wave: $y(x,t) = (2.50~cm)~sin~[~(8.0~rad/m)~x - (2.90~rad/s)~t~]$