A sinusoidal wave,
given by the displacement wave equation
where x and y are in
meters and t is in seconds, is moving on a string of linear density
m
= 1.2 g/m. At
what average rate is energy transferred by the wave?
The average rate of energy
transfer is equivalent to the average power transmitted. The average power
transmitted is given by
From the given displacement
wave we can identify
ym = 0.05 m,
w=
300 rad/s, and k = 2p
rad/m.