A stretched string is forced to transmit transverse waves by means of an oscillator coupled to one end. The string has a diameter of 4 mm. The amplitude of the oscillation is 10-4 m and the frequency is 10 Hz. Tension in the string is 100 N and mass density of wire is 4.2 x 103 kg/m3. Find :
(a) the equation of the waves along the string
(b) the energy per unit volume of the wave
(c) the average energy flow per unit time across any section of the string and
(d) power required to drive the oscillator.
(a) Speed of transverse wave on the string in,
Substituting the values, we have
Equation of the waves along the string ,
(b) Energy per unit volume of the string,
(d) Power required to drive the oscillator is obviously 4.53 x 10-5 W
