A piano wire with mass 3.00 g and length 80.0 cm is

Solution 22E Introduction We have to calculate the average power of the wave on string. Step 1 The average power of wave moving on string is given by 1 2 2 P av= 2 F A The linear mass density of the string is given by The force on the string is F = 25.0 N The frequency of the wave is f = 120.0 Hz Hence the angular frequency = 2f = 2(120.0 Hz) = 754.0 rad/s And the amplitude is A = 1.6 mm = 1.6 × 10m So the average power is 2 3 2 P av= 0.00375 kg/m)(25.0 N)(754.0 rad/s) (1.6 × 10 m) = 0.446 W So the average power carried by the wave is 0.446 W.