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 energy transfer is = W
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.
We can calculate the speed of the wave:
Therefore, the average power transmitted is